Valid HTML 4.0! Valid CSS!
%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.91",
%%%     date            = "15 February 2024",
%%%     time            = "11:12:37 MST",
%%%     filename        = "borwein-jonathan-m.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "https://www.math.utah.edu/~beebe",
%%%     checksum        = "31683 54544 240172 2460703",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                       beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "arithmetic--geometric mean (AGM); Atlantic
%%%                       Association for Research in the Mathematical
%%%                       Sciences (AARMS); BBP
%%%                       (Bailey--Borwein--Plouffe) algorithm;
%%%                       bibliography; BibTeX; Borwein--Preiss smooth
%%%                       variational principle in optimization theory;
%%%                       Centre for Computer-assisted Research in
%%%                       Mathematics and its Applications (CARMA);
%%%                       classical analysis; cubic theta function;
%%%                       Douglas--Rachford algorithm; experimental
%%%                       mathematics; financial mathematics; functional
%%%                       analysis; high performance computing (HPC);
%%%                       International Mathematical Union (IMU)
%%%                       Executive's Committee on Electronic
%%%                       Information and Communication (CEIC); Jonathan
%%%                       Michael Borwein; mathematics by experiment;
%%%                       number theory; Online Encyclopedia of Integer
%%%                       Sequences (OEIS); operations research;
%%%                       optimization theory and practice; $\pi$; PSLQ
%%%                       algorithm; theory of computation",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a COMPLETE bibliography of works by,
%%%                        and about, the late distinguished
%%%                        Canadian/British mathematician Jonathan
%%%                        Michael Borwein (20 May 1951--2 August 2016)
%%%                        (ORCID Borwein, Jonathan/0000-0002-1263-0646).
%%%
%%%                        This bibliography is divided into four parts:
%%%
%%%                            1: Academic works by Jonathan M. Borwein
%%%                            2: Blog publications by Jonathan M. Borwein
%%%                            3: Invited talks by Jonathan M. Borwein
%%%                            4: Publications about Jonathan M. Borwein and his works
%%%
%%%                        Jon Borwein was born in Scotland to a
%%%                        mathematical family: his father David and his
%%%                        younger brother Peter are themselves
%%%                        distinguished mathematicians.  His mother is
%%%                        a physician and retired medical-school dean.
%%%
%%%                        Jon grew up in Canada, taking a B.A. (Honours
%%%                        Mathematics) at the University of Western
%%%                        Ontario (later branded Western University),
%%%                        London, ON in 1972 (and the city in which he
%%%                        died in 2016 while holding the post of
%%%                        Distinguished Scholar in Residence), and an
%%%                        M.Sc. in 1974 and a D.Phil. in 1974 from
%%%                        Oxford University, where he was a Rhodes
%%%                        Scholar at Jesus College.
%%%
%%%                        Jon Borwein later worked at Dalhousie
%%%                        University, Halifax, NS, Canada (1974--1980,
%%%                        1982--1991, 2004--), Carnegie--Mellon
%%%                        University, Pittsburgh, PA, USA (1980--1982),
%%%                        the University of Waterloo, Waterloo, ON,
%%%                        Canada (1991--1993), Simon Fraser University,
%%%                        Burnaby, BC, Canada (1993--2003), the
%%%                        University of Newcastle, Newcastle, NSW,
%%%                        Australia (2009--2016), King Abdulaziz
%%%                        University, Jeddah, Saudi Arabia
%%%                        (2011--2013), and Chiang Mia University,
%%%                        Thailand (2013--2016).
%%%
%%%                        Jon Borwein was President of the Canadian
%%%                        Mathematical Society (2000--2002), Governer
%%%                        at Large of the American Mathematical Society
%%%                        (2004--2007), co-winner of the Chauvenet
%%%                        Prize of the Mathematical Association of
%%%                        America (1993) --- see entry Borwein:1989:RME
%%%                        and the Web site
%%%
%%%                            http://www.maa.org/programs/maa-awards/writing-awards/chauvenet-prizes
%%%
%%%                        co-winner of the AMS 2017 Levi L. Conant
%%%                        Prize --- see entries Bailey:2016:BBM and
%%%                        Breen:2016:DBJ and the Web site
%%%
%%%                            http://www.ams.org/news?news_id=3232
%%%
%%%                        and a fellow of the Royal Society of Canada
%%%                        (1994), the American Association for the
%%%                        Advancement of Science (2002), the Bulgarian
%%%                        Academy of Sciences (2003), the Australian
%%%                        Academy of Science (2010), the American
%%%                        Mathematical Society (2014), and the Royal
%%%                        Society of New South Wales (2015).
%%%
%%%                        Jon Borwein travelled, spoke, and wrote,
%%%                        widely, and collaborated with many other
%%%                        mathematicians, including his father David
%%%                        and brother Peter, and David H. Bailey, with
%%%                        whom he co-authored more than 80 papers and
%%%                        five books, and co-wrote a blog on
%%%                        mathematical and scientific issues before the
%%%                        public, many of them reprinted in the
%%%                        Huffington Post and in The Conversation.
%%%
%%%                        There is an encyclopedia article about him at
%%%
%%%                            https://en.wikipedia.org/wiki/Jonathan_Borwein
%%%
%%%                        plus personal Web sites at
%%%
%%%                            http://carma.newcastle.edu.au/jon/
%%%                            http://carma.newcastle.edu.au/jon/CV/CV.html
%%%                            http://jonathanmborwein.com/
%%%                            http://jonborwein.com/
%%%
%%%                        a mathematical genealogy at
%%%
%%%                            https://genealogy.math.ndsu.nodak.edu/id.php?id=23187
%%%
%%%                        and obituaries at
%%%
%%%                            http://blogs.ams.org/beyondreviews/2016/08/03/jonathan-borwein/
%%%                            http://jonborwein.org/2016/08/he-left-this-world-a-better-place/
%%%                            https://cms.math.ca/MediaReleases/2016/borweinobituary
%%%                            https://www.science.org.au/fellowship/fellows/professor-jonathan-borwein
%%%
%%%                        The increasingly famous BBP formula (entry
%%%                        Bailey:1997:RCV) is named after its authors:
%%%                        David Bailey, Jon's brother Peter Borwein,
%%%                        and Simon Plouffe.  That astonishing formula
%%%                        allows computation of digits of pi in any
%%%                        number base that is an integral power of two,
%%%                        the power being greater than zero, starting
%%%                        from any prescribed digit, without knowing
%%%                        any previous digits!  BBP-like formulas have
%%%                        since been found for several other
%%%                        transcendental contants.  David Bailey and
%%%                        Jon Borwein have written and spoken
%%%                        extensively about the importance of, and use
%%%                        of, the BBP formula.
%%%
%%%                        Jon Borwein updated his curriculum vitae just
%%%                        five hours before he died, so we have some
%%%                        confidence that coverage of his works in this
%%%                        bibliography is complete as far as he
%%%                        recorded them.  However, additional
%%%                        publications are to be expected, and are
%%%                        included here, such as from reprints,
%%%                        articles accepted and in press, or submitted,
%%%                        and ones that he simply forgot, or chose not,
%%%                        to record.
%%%
%%%                        At version 1.91, the COMPLETE year coverage
%%%                        looked like this:
%%%
%%%                             1972 (   1)    1990 (  52)    2008 (  47)
%%%                             1973 (   0)    1991 (  36)    2009 (  65)
%%%                             1974 (   1)    1992 (  28)    2010 (  71)
%%%                             1975 (   0)    1993 (  43)    2011 ( 100)
%%%                             1976 (   4)    1994 (  49)    2012 ( 125)
%%%                             1977 (   5)    1995 (  62)    2013 ( 136)
%%%                             1978 (   4)    1996 (  39)    2014 ( 119)
%%%                             1979 (  10)    1997 (  71)    2015 ( 100)
%%%                             1980 (   7)    1998 (  41)    2016 ( 113)
%%%                             1981 (  10)    1999 (  61)    2017 (  37)
%%%                             1982 (   8)    2000 (  56)    2018 (  33)
%%%                             1983 (  11)    2001 (  47)    2019 (   2)
%%%                             1984 (  19)    2002 (  39)    2020 (  33)
%%%                             1985 (   9)    2003 (  55)    2021 (  14)
%%%                             1986 (  23)    2004 (  51)    2022 (   2)
%%%                             1987 (  27)    2005 (  79)    2023 (   0)
%%%                             1988 (  32)    2006 (  62)    2024 (   1)
%%%                             1989 (  25)    2007 (  57)
%%%                             19xx (   7)
%%%
%%%                             Article:        827
%%%                             Book:            57
%%%                             InCollection:    92
%%%                             InProceedings:   70
%%%                             MastersThesis:    1
%%%                             Misc:           187
%%%                             PhdThesis:        2
%%%                             Proceedings:     18
%%%                             TechReport:     138
%%%                             Unpublished:    740
%%%
%%%                             Total entries: 2132
%%%
%%%                        As an indication of the breadth of Jon
%%%                        Borwein's interests, his published articles
%%%                        appear in at least 135 journals, with these
%%%                        being the most commonly chosen (as recorded
%%%                        at version 1.07):
%%%
%%%                        ========================================
%%%                         count | journal
%%%                        ========================================
%%%                            47 | The Conversation
%%%                            46 | j-AMER-MATH-MONTHLY
%%%                            37 | Huffington Post
%%%                            36 | ArXiv e-prints
%%%                            21 | j-PROC-AM-MATH-SOC
%%%                            18 | j-J-CONVEX-ANAL
%%%                            17 | j-J-MATH-ANAL-APPL
%%%                            16 | j-EXP-MATH
%%%                            14 | j-MATH-PROG
%%%                            13 | j-CAN-J-MATH
%%%                            13 | j-NONLINEAR-ANAL
%%%                            12 | j-CAN-MATH-BULL
%%%                            12 | j-TRANS-AM-MATH-SOC
%%%                            11 | j-J-OPT-THEORY-APPL
%%%                            11 | j-NAMS
%%%                            11 | j-RAMANUJAN-J
%%%                            10 | j-SIAM-J-OPT
%%%                            10 | j-SET-VALUED-ANAL
%%%                             8 | j-SIAM-REVIEW
%%%                             8 | ArXiv Mathematics e-prints
%%%                             8 | j-MATH-INTEL
%%%                             7 | j-SIAM-J-CONTROL-OPTIM
%%%                             7 | j-J-APPROX-THEORY
%%%                             7 | j-MATH-COMPUT
%%%                             6 | j-OPTIMIZATION
%%%                             6 | j-BULL-AUSTRAL-MATH-SOC
%%%                             6 | j-J-NONLINEAR-CONVEX-ANAL
%%%                             6 | j-AUSTRALIAN-MATH-SOC-GAZ
%%%                             5 | j-OPTIM-LETT
%%%                             4 | j-MATH-OP-RES
%%%                             4 | j-MAPLE-TECH-NEWS
%%%                             4 | j-J-FUNCT-ANAL
%%%                             4 | j-MATH-INEQUAL-APPL
%%%                             4 | j-SIAM-NEWS
%%%                             3 | j-PAC-J-MATH
%%%                             3 | j-J-COMPUT-APPL-MATH
%%%                             3 | ArXiv High Energy Physics --- Theory e-prints
%%%                             3 | j-ELECT-J-COMB
%%%                             3 | j-J-GLOBAL-OPT
%%%                             3 | j-SET-VALUED-VAR-ANAL
%%%                             3 | j-APPL-MATH-COMP
%%%                             3 | j-INTEGERS
%%%                             2 | j-J-LOND-MATH-SOC-2
%%%                             2 | j-INT-J-MATH-MATH-SCI
%%%                             2 | j-MATH-PROG-STUDY
%%%                             2 | j-J-AUSTRAL-MATH-SOC-SER-A
%%%                             2 | j-BIT
%%%                             2 | j-PROC-EDINBURGH-MATH-SOC-2
%%%                             2 | j-J-MATH-PHYS
%%%                             2 | j-J-AUSTRAL-MATH-SOC-SER-B
%%%                             2 | j-ISRAEL-J-MATH
%%%                             2 | j-IMA-J-NUMER-ANAL
%%%                             2 | j-J-PHYS-A
%%%                             2 | j-Z-OPER-RES
%%%                             2 | j-SCIENCE
%%%                             2 | j-AEQUATIONES-MATHEMATICAE
%%%                             2 | j-NUM-MATH
%%%                             2 | j-IEEE-TRANS-NUCL-SCI
%%%                             2 | j-SIGSAM
%%%                             2 | j-INT-J-NUMBER-THEORY
%%%                             2 | j-J-PHYS-A-MATH-THEOR
%%%                             2 | Rhodes Scholar Blog
%%%                             2 | j-J-AUSTRAL-MATH-SOC
%%%                             2 | j-ANZIAM-J
%%%                             2 | j-J-SYMBOLIC-COMP
%%%                             1 | in each of 70 other journals
%%%                        ========================================
%%%
%%%                        Besides at least 504 articles, 90 blogs, and
%%%                        708 invited talks on five continents, Jon
%%%                        Borwein also authored or edited, or was the
%%%                        subject of, 34 books (including new editions
%%%                        and translations):
%%%
%%%                        =================================================================================================
%%%                            1987 | Pi and the AGM: a Study in Analytic Number Theory and Computational Complexity
%%%                            1990 | A dictionary of real numbers
%%%                            1991 | The HarperCollins dictionary of mathematics
%%%                            1995 | Dizionario Collins della matematica
%%%                            1995 | Shu xue ci dian
%%%                            1997 | Pi, a source book
%%%                            1997 | The MathResource interactive math dictionary
%%%                            1998 | Pi and the AGM: A study in analytic number theory and computational complexity
%%%                            1999 | Dictionary of mathematics
%%%                            2000 | Convex Analysis and Nonlinear Optimization
%%%                            2000 | Pi: a source book
%%%                            2002 | Mathematics: Collins dictionary
%%%                            2002 | Multimedia tools for communicating mathematics
%%%                            2003 | Experimentation in mathematics: computational paths to discovery
%%%                            2004 | Mathematics by Experiment: Plausible Reasoning in the 21st Century
%%%                            2004 | Pi: a source book
%%%                            2005 | Techniques of Variational Analysis
%%%                            2006 | Convex analysis and nonlinear optimization
%%%                            2006 | Experiments in Mathematics
%%%                            2007 | Experimental Mathematics in Action
%%%                            2008 | Communicating Mathematics in the Digital Era
%%%                            2008 | Mathematics by Experiment
%%%                            2009 | The computer as crucible: an introduction to experimental mathematics
%%%                            2010 | Convex functions: constructions, characterizations and counterexamples
%%%                            2010 | Experimental and computational mathematics: selected writings
%%%                            2011 | An introduction to modern mathematical computing: with Maple
%%%                            2011 | Experimentelle Mathematik: Eine beispielorientierte Einfuhrung
%%%                            2012 | An introduction to modern mathematical computing: with Mathematicareg
%%%                            2012 | Exploratory experimentation in mathematics: selected works
%%%                            2013 | Computational and analytical mathematics: in honor of Jonathan Borwein's 60th Birthday
%%%                            2013 | Lattice Sums: Then and Now
%%%                            2014 | Neverending fractions: an introduction to continued fractions
%%%                            2016 | Pi: the next generation: a sourcebook on the recent history of Pi and its computation
%%%                            2016 | Tools and Mathematics
%%%                        =================================================================================================
%%%
%%%                        The tables given above have been produced
%%%                        automatically, and reliably, from the output
%%%                        of queries to an SQL database containing the
%%%                        entries in this bibliography.
%%%
%%%                        A count of recorded page ranges of the form
%%%                        mmm--nnn in parts 1--3 of this file finds
%%%                        7939 pages in 514 documents, an average of
%%%                        15.45 pages each.  That is an impressive
%%%                        production in the mathematical literature!
%%%
%%%                        Entries for this bibliography have been
%%%                        derived from data in the BibNet Project and
%%%                        TeX User Group bibliography archives, and
%%%                        from the ACM Portal, American Physical
%%%                        Society (APS), American Institute of Physics
%%%                        (AIP), arxiv.org, Australian Mathematical
%%%                        Society, Cambridge Journals, Canadian
%%%                        Mathematical Society (CMS), Canadian
%%%                        Association of Physicists, Elsevier
%%%                        ScienceDirect, EuroPhysics, IEEE Xplore,
%%%                        Institute of Physics (IOP), JSTOR, MathSciNet,
%%%                        Nature, PubMed, Royal Society, Science,
%%%                        Smithsonian Astrophysical Observatory,
%%%                        SpringerLink, Web of Science, Wiley, and
%%%                        zbMATH databases.  Once those resources were
%%%                        exhausted, the BibTeX entries produced from
%%%                        them were matched entry by entry with Jon
%%%                        Borwein's curriculum vitae in his file
%%%                        CV.pdf, and all previously missing ones were
%%%                        converted to BibTeX form and added to this
%%%                        file.
%%%
%%%                        Numerous errors and inconsistencies in those
%%%                        sources have been corrected, and many
%%%                        heuristic checks, and spelling corrections,
%%%                        have been done.  The companion file
%%%                        borwein-jonathan-m.sok contains a private
%%%                        spelling-exception dictionary for this file.
%%%
%%%                        Special thanks go to David H. Bailey of
%%%                        the University of California, Davis, and
%%%                        Karl Dilcher of Dalhousie University for
%%%                        uncovering many previously unrecorded works
%%%                        by Jonathan Borwein.
%%%
%%%                        TO DO: More work is still needed to locate
%%%                        electronic addresses for some entries.  Of
%%%                        the 592 article entries containing Borwein in
%%%                        the author field, 536 have either a DOI or a
%%%                        URL value, and 164 have both DOI and URL
%%%                        values, but 56 have neither.
%%%
%%%                        Of the 115 Borwein entries for InXxx blocks,
%%%                        61 have neither DOI nor URL values.
%%%
%%%                        Of the 37 Borwein entries for Book and
%%%                        Proceedings blocks, 17 have neither DOI nor
%%%                        URL values.
%%%
%%%                        Except for those publications in open-access
%%%                        journals or technical reports, document
%%%                        access via DOI or URL values may require an
%%%                        institutional journal subscription, or online
%%%                        payment.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================
@Preamble{
    "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
    "\ifx \undefined \cdprime \def \cdprime {$''$} \fi" #
    "\ifx \undefined \cftilf \def \cftil #1{\ifmmode \setbox7 \hbox{$\accent5E#1$}\else
        \setbox7 \hbox{\accent5E#1}\penalty 10000 \relax \fi \raise 1\ht7
        \hbox{\lower 1.15ex \hbox to 1\wd7{\hss \accent7E \hss}}\penalty 10000
        \hskip-1\wd7 \penalty 10000 \box7} \fi" #
    "\ifx \undefined \circled \def \circled #1{(#1)}\fi" #
    "\ifx \undefined \cprime  \def \cprime {$'$} \fi" #
    "\ifx \undefined \coloneq \def \coloneq {\colon=} \fi" #
    "\ifx \undefined \mathcal \def \mathcal   #1{{\cal #1}} \fi" #
    "\ifx \undefined \mathrm  \def \mathrm #1{{\rm #1}} \fi" #
    "\ifx \undefined \refcno  \def \refcno{Cno. } \fi" #
    "\ifx \undefined \reg     \def \reg {\circled{R}}\fi"
}

%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|https://www.math.utah.edu/~beebe/|"}

@String{ack-njh =   "Nick Higham,
                    e-mail: \path|nick.higham@manchester.ac.uk|"}

%%% ====================================================================
%%% Institutional abbreviations:
@String{inst-CARMA              = "Centre for Computer-assisted Research
                                  Mathematics and its Applications
                                  (CARMA), School of Mathematical and
                                  Physical Sciences, University of
                                  Newcastle"}
@String{inst-CARMA:adr          = "Callaghan, NSW 2308, Australia"}

@String{inst-CECM               = "Centre for Experimental and Constructive
                                  Mathematics (CECM) at Simon Fraser
                                  University (SFU)"}
@String{inst-CECM:adr           = "Burnaby, BC V5A 1S6, Canada"}

%%% ====================================================================
%%% Journal abbreviations:
@String{j-ABSTR-APPL-ANAL       = "Abstract and Applied Analysis"}

@String{j-ACM-COMM-COMP-ALGEBRA = "ACM Communications in Computer Algebra"}

@String{j-ACTA-ARITHMETICA      = "Acta Arithmetica"}

@String{j-ACTA-SCI-NATUR-UNIV-SUNYATSENI = "Acta Scientiarum Naturalium
                                  Universitatis Sunyatseni. Zhongshan Daxue
                                  Xuebao. Ziran Kexue Ban"}

@String{j-ADV-NONLINEAR-ANAL    = "Advances in Nonlinear Analysis"}

@String{j-AEQUATIONES-MATHEMATICAE = "Aequationes Mathematicae"}

@String{j-AM-SCI                = "American Scientist"}

@String{j-AMER-MATH-MONTHLY     = "American Mathematical Monthly"}

@String{j-ANZIAM-J              = "The ANZIAM Journal"}

@String{j-APPL-ANAL             = "Applicable Analysis"}

@String{j-APPL-MATH-COMP        = "Applied Mathematics and Computation"}

@String{j-APPL-MATH-LETT        = "Applied Mathematics Letters"}

@String{j-APPL-MATH-OPTIM       = "Applied Mathematics and Optimization"}

@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics: Transactions
                                  of IMACS"}

@String{j-AUSTRALIAN-MATH-SOC-GAZ = "Australian Mathematical Society Gazette"}

@String{j-BIT                   = "BIT (Nordisk tidskrift for
                                  informationsbehandling)"}

@String{j-BOUND-VALUE-PROBL     = "Boundary Value Problems"}

@String{j-BULL-AMS-N-S          = "Bulletin of the American Mathematical
                                  Society (new series)"}

@String{j-BULL-AUSTRAL-MATH-SOC = "Bulletin of the Australian Mathematical
                                  Society"}

@String{j-BULL-CALCUTTA-MATH-SOC = "Bulletin of the Calcutta Mathematical Society"}

@String{j-C-R-ACAD-BULGARE-SCI  = "Comptes rendus de l'Acad{\'e}mie bulgare
                                  des sciences"}

@String{j-C-R-ACAD-SCI-CANADA   = "Comptes rendus de l'Acad{\'e}mie des
                                  sciences. Canada"}

@String{j-CAN-J-MATH            = "Canadian Journal of Mathematics = Journal
                                  canadien de math{\'e}matiques"}

@String{j-CAN-MATH-BULL         = "Canadian mathematical bulletin = Bulletin
                                  canadien de math{\'e}matiques"}

@String{j-CMS-NOTES             = "Canadian Mathematical Society Notes"}

@String{j-COLLOQ-MATH           = "Colloquium Mathematicum"}

@String{j-COMMUN-CONTEMP-MATH   = "Communications in Contemporary Mathematics"}

@String{j-COMP-OPTIM-APPL       = "Computational optimization and
                                  applications"}

@String{j-COMP-PHYS-COMM        = "Computer Physics Communications"}

@String{j-COMPUT-SCI-ENG        = "Computing in Science and Engineering"}

@String{j-COMPUTING             = "Computing: Archiv f{\"u}r Informatik und
                                  Numerik"}

@String{j-CONST-APPROX          = "Constructive Approximation"}

@String{j-DISCRETE-MATH         = "Discrete Mathematics"}

@String{j-EDUC-STUD-MATH        = "Educational Studies in Mathematics"}

@String{j-ELECT-J-COMB          = "Electronic Journal of Combinatorics"}

@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
                                  Analysis"}

@String{j-ENTROPY               = "Entropy"}

@String{j-EUR-MATH-SOC-NEWSL    = "European Mathematical Society. Newsletter"}

@String{j-EXP-MATH              = "Experimental Mathematics"}

@String{j-FIB-QUART             = "Fibonacci Quarterly"}

@String{j-HOUSTON-J-MATH        = "Houston Journal of Mathematics"}

@String{j-IEEE-CONTROL-SYST-MAG = "IEEE Control Systems Magazine"}

@String{j-IEEE-TRANS-MED-IMAG   = "IEEE Transactions on Medical Imaging"}

@String{j-IEEE-TRANS-NUCL-SCI   = "IEEE Transactions on Nuclear Science"}

@String{j-IMA-J-NUMER-ANAL      = "IMA Journal of Numerical Analysis"}

@String{j-INDAG-MATH            = "Indagationes Mathematic{\ae}"}

@String{j-INFO-SCI              = "Information Sciences"}

@String{j-INT-J-COMPUT-MATH     = "International Journal of Computer
                                  Mathematics"}

@String{j-INT-J-MATH-MATH-SCI   = "International Journal of Mathematics and
                                  Mathematical Sciences"}

@String{j-INT-J-NUMBER-THEORY   = "International Journal of Number Theory"}

@String{j-INTEGERS              = "Integers"}

@String{j-INTEGRAL-TRANSFORMS-SPEC-FUNCT = "Integral Transforms and Special
                                  Functions"}

@String{j-INVERSE-PROBL-SCI-ENG = "Inverse Problems in Science and
                                  Engineering"}

@String{j-ISRAEL-J-MATH         = "Israel Journal of Mathematics"}

@String{j-J-ALG                 = "Journal of Algorithms"}

@String{j-J-APPL-MATH           = "Journal of Applied Mathematics"}

@String{j-J-APPROX-THEORY       = "Journal of Approximation Theory"}

@String{j-J-AUSTRAL-MATH-SOC    = "Journal of the Australian
                                  Mathematical Society"}

@String{j-J-AUSTRAL-MATH-SOC-SER-A = "Journal of the Australian
                                  Mathematical Society. Series A: Pure
                                  Mathematics and Statistics"}

@String{j-J-AUSTRAL-MATH-SOC-SER-B = "Journal of the Australian
                                  Mathematical Society. Series B"}

@String{j-J-AUSTRALIAN-MATH-SOC = "Journal of the Australian Mathematical Society"}

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@String{j-J-HUMANIST-MATH       = "Journal of Humanistic Mathematics"}

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@String{j-J-INVESTMENT-MANAGE   = "Journal of Investment Management"}

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@String{j-J-MATH-PHYS           = "Journal of Mathematical Physics"}

@String{j-J-NONLINEAR-CONVEX-ANAL = "Journal of Nonlinear and Convex Analysis"}

@String{j-J-NUMBER-THEORY       = "Journal of Number Theory"}

@String{j-J-OPT-THEORY-APPL     = "Journal of Optimization Theory and
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@String{j-J-PHYS-A              = "Journal of Physics A (Mathematical and
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@String{j-J-REINE-ANGEW-MATH    = "{Journal f{\"u}r die reine und angewandte
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@String{j-J-SCI-COMPUT          = "Journal of Scientific Computing"}

@String{j-J-SUPERCOMPUTING      = "The Journal of Supercomputing"}

@String{j-J-SYMBOLIC-COMP       = "Journal of Symbolic Computation"}

@String{j-LECT-NOTES-COMP-SCI   = "Lecture Notes in Computer Science"}

@String{j-LECT-NOTES-MATH       = "Lecture Notes in Mathematics"}

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@String{j-MATH-GAZ              = "Mathematical Gazette"}

@String{j-MATH-INEQUAL-APPL     = "Mathematical Inequalities \& Applications"}

@String{j-MATH-INTEL            = "The Mathematical Intelligencer"}

@String{j-MATH-MAG              = "Mathematics Magazine"}

@String{j-MATH-OP-RES           = "Mathematics of Operations Research"}

@String{j-MATH-PROG             = "Mathematical Programming"}

@String{j-MATH-PROG-STUDY       = "Mathematical Programming Study"}

@String{j-MATH-SCAND            = "Mathematica Scandinavica"}

@String{j-MATH-STUDENT          = "The Mathematics Student"}

@String{j-METHODS-APPL-ANAL     = "Methods and Applications of Analysis"}

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@String{j-NUM-MATH              = "Numerische Mathematik"}

@String{j-NUMER-ALGEBRA-CONTROL-OPTIM = "Numerical Algebra, Control and
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                                  Optimization"}

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@String{j-OPTIM-METHODS-SOFTW   = "Optimization Methods and Software"}

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@String{j-POSITIVITY            = "Positivity"}

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@String{j-PROC-LONDON-MATH-SOC-3 = "Proceedings of the London Mathematical
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@String{j-RAMANUJAN-J           = "The {Ramanujan} Journal"}

@String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"}

@String{j-SCI-AMER              = "Scientific American"}

@String{j-SCI-CHINA-MATH        = "Science China. Mathematics"}

@String{j-SCIENCE               = "Science"}

@String{j-SERDICA-MATH-J        = "Serdica. Mathematical Journal. Serdika.
                                  Matematichesko Spisanie"}

@String{j-SET-VALUED-ANAL       = "Set-Valued Analysis"}

@String{j-SET-VALUED-VAR-ANAL   = "Set-Valued and Variational Analysis"}

@String{j-SIAM-J-CONTROL-OPTIM  = "SIAM Journal on Control and Optimization"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-OPT            = "SIAM Journal on Optimization"}

@String{j-SIAM-NEWS             = "SIAM News"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-SIGSAM                = "SIGSAM Bulletin (ACM Special Interest Group
                                  on Symbolic and Algebraic Manipulation)"}

@String{j-STUDIA-MATH           = "Studia Mathematica"}

@String{j-THEOR-COMP-SCI        = "Theoretical Computer Science"}

@String{j-TRANS-AM-MATH-SOC     = "Transactions of the American Mathematical
                                  Society"}

@String{j-TRANS-INFO-PROCESSING-SOC-JAPAN = "Transactions of the Information
                                  Processing Society of Japan"}

@String{j-UTIL-MATH             = "Utilitas Mathematica"}

@String{j-Z-OPER-RES            = "Zeitschrift f{\"u}r Operations Research.
                                  Mathematical Methods of Operations Research"}

@String{j-ZOR-MATH-METHODS-OPER-RES = "ZOR --- Mathematical Methods of
                                  Operations Research"}

%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-A-K-PETERS          = "A. K. Peters, Ltd."}
@String{pub-A-K-PETERS:adr      = "Wellesley, MA, USA"}

@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-ACM                 = "ACM Press"}
@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-COLLINS             = "Collins"}
@String{pub-COLLINS:adr         = "London, UK"}

@String{pub-ELSEVIER            = "Elsevier"}
@String{pub-ELSEVIER:adr        = "Amsterdam, The Netherlands"}

@String{pub-HARPERCOLLINS       = "HarperCollins"}
@String{pub-HARPERCOLLINS:adr   = "London, UK"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}

@String{pub-KLUWER              = "Kluwer Academic Publishers Group"}
@String{pub-KLUWER:adr          = "Norwell, MA, USA, and Dordrecht,
                                  The Netherlands"}

@String{pub-LITTLE-BROWN        = "Little, Brown and Co."}
@String{pub-LITTLE-BROWN:adr    = "Boston, MA, USA"}

@String{pub-LONGMAN             = "Longman Scientific and Technical"}
@String{pub-LONGMAN:adr         = "Harlow, Essex, UK"}

@String{pub-MATH-ASSOC-AMER     = "Mathematical Association of America"}
@String{pub-MATH-ASSOC-AMER:adr = "Washington, DC, USA"}

@String{pub-NORTH-HOLLAND       = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-PRINCETON           = "Princeton University Press"}
@String{pub-PRINCETON:adr       = "Princeton, NJ, USA"}

@String{pub-REIDEL              = "D. Reidel"}
@String{pub-REIDEL:adr          = "Dordrecht, The Netherlands; Boston, MA, USA;
                                  Lancaster, UK; Tokyo, Japan"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

@String{pub-WADSWORTH           = "Wadsworth"}
@String{pub-WADSWORTH:adr       = "Pacific Grove, CA, USA"}

@String{pub-WILEY               = "Wiley"}
@String{pub-WILEY:adr           = "New York, NY, USA"}

%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNCS                = "Lecture Notes in Computer Science"}

%%% ====================================================================
%%% Part 1 (of 4): Academic works by Jonathan Michael Borwein
%%%
%%% Bibliography entries, sorted by year, and then by citation label,
%%% with ``bibsort --byyear'':
@MastersThesis{Borwein:1972:MON,
  author =       "Jonathan Michael Borwein",
  title =        "Monotone Operators and Non-Linear Functional
                 Analysis",
  type =         "{M.Sc.} thesis",
  school =       "Oxford University",
  address =      "Oxford, UK",
  year =         "1972",
  bibdate =      "Thu Aug 11 17:24:59 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Not found in Proquest or in Oxford Solo catalog.",
}

@PhdThesis{Borwein:1974:ORP,
  author =       "Jonathan Michael Borwein",
  title =        "Optimization with respect to partial orderings",
  type =         "{D.Phil.} thesis",
  school =       "Oxford University",
  address =      "Oxford, UK",
  pages =        "200",
  year =         "1974",
  bibdate =      "Wed Aug 10 10:59:56 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://search.proquest.com/pqdtglobal/docview/1767375969/",
  acknowledgement = ack-nhfb,
  advisor =      "M. A. H. (Michael Alan Howarth) Dempster",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Found in Proquest, but not available for viewing.
                 Oxford Solo catalog identifies physical location as
                 Radcliffe Science Library.",
}

@Article{Borwein:1976:FPD,
  author =       "J. M. Borwein",
  title =        "Fractional programming without differentiability",
  journal =      j-MATH-PROG,
  volume =       "11",
  number =       "1",
  pages =        "283--290",
  year =         "1976",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01580396",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C10 (65K05)",
  MRnumber =     "0449664",
  MRreviewer =   "Siegfried Schaible",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1671/;
                 http://link.springer.com/article/10.1007/BF01580396",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxnumber =     "3",
}

@Article{Borwein:1976:NFJ,
  author =       "J. M. Borwein",
  title =        "A note on {Fritz John} sufficiency",
  journal =      j-BULL-AUSTRAL-MATH-SOC,
  volume =       "15",
  number =       "2",
  pages =        "293--296",
  month =        oct,
  year =         "1976",
  CODEN =        "ALNBAB",
  DOI =          "https://doi.org/10.1017/S0004972700022656",
  ISSN =         "0004-9727 (print), 1755-1633 (electronic)",
  ISSN-L =       "0004-9727",
  MRclass =      "90C30",
  MRnumber =     "0426851",
  MRreviewer =   "R. N. Kaul",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1515/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4812456",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Bulletin of the Australian Mathematical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1976:TCC,
  author =       "J. Borwein and R. O'Brien",
  title =        "Tangent cones and convexity",
  journal =      j-CAN-MATH-BULL,
  volume =       "19",
  number =       "3",
  pages =        "257--261",
  year =         "1976",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1976-040-x",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "46A99 (52A05)",
  MRnumber =     "0454586",
  MRreviewer =   "A. Gopfert",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1517/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1976:VS,
  author =       "J. Borwein and M. Edelstein and R. O'Brien",
  title =        "Visibility and Starshape",
  journal =      j-J-LOND-MATH-SOC-2,
  volume =       "S2-14",
  number =       "2",
  pages =        "313--318",
  month =        nov,
  year =         "1976",
  CODEN =        "JLMSAK",
  DOI =          "https://doi.org/10.1112/jlms/s2-14.2.313",
  ISSN =         "0024-6107 (print), 1469-7750 (electronic)",
  ISSN-L =       "0024-6107",
  MRclass =      "46B05",
  MRnumber =     "0428010",
  MRreviewer =   "Bor-Luh Lin",
  bibdate =      "Fri Aug 12 16:38:27 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1670/;
                 http://jlms.oxfordjournals.org/content/s2-14/2/313.full.pdf+html",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Lond. Math. Soc. (2)",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the London Mathematical Society (series
                 2)",
  journal-URL =  "http://jlms.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1977:MCO,
  author =       "J. Borwein",
  title =        "Multivalued convexity and optimization: a unified
                 approach to inequality and equality constraints",
  journal =      j-MATH-PROG,
  volume =       "13",
  number =       "2",
  pages =        "183--199",
  year =         "1977",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01584336",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "52A40 (90C25)",
  MRnumber =     "0451166",
  MRreviewer =   "J. Stoer",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1669/;
                 http://link.springer.com/article/10.1007/BF01584336",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1977:PEH,
  author =       "J. Borwein",
  title =        "A proof of the equivalence of {Helly}'s and
                 {Krasnoselski}'s theorems",
  journal =      j-CAN-MATH-BULL,
  volume =       "20",
  number =       "1",
  pages =        "35--37",
  month =        mar,
  year =         "1977",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1977-007-4",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "52A35",
  MRnumber =     "0478014",
  MRreviewer =   "John D. Baildon",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://cms.math.ca/cmb/v20/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1518/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1977:PEP,
  author =       "J. Borwein",
  title =        "Proper Efficient Points for Maximizations with Respect
                 to Cones",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "15",
  number =       "1",
  pages =        "57--63",
  month =        jan,
  year =         "1977",
  CODEN =        "SJCODC",
  DOI =          "https://doi.org/10.1137/0315004",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "90C30 (65K05 49B99)",
  MRnumber =     "0434441",
  MRreviewer =   "M. Rossler",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/15/1;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1667/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  journalabr =   "SIAM J Control Optim",
  onlinedate =   "January 1977",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1977:SRV,
  author =       "J. Borwein and M. Edelstein and R. O'Brien",
  title =        "Some remarks on visibility and starshape",
  journal =      j-J-LOND-MATH-SOC-2,
  volume =       "S2-15",
  number =       "2",
  pages =        "342--344",
  month =        apr,
  year =         "1977",
  CODEN =        "JLMSAK",
  DOI =          "https://doi.org/10.1112/jlms/s2-15.2.342",
  ISSN =         "0024-6107 (print), 1469-7750 (electronic)",
  ISSN-L =       "0024-6107",
  MRclass =      "46A99",
  MRnumber =     "0442642",
  MRreviewer =   "Bor-Luh Lin",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1666/;
                 http://jlms.oxfordjournals.org/content/s2-15/2/342.full.pdf+html",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Lond. Math. Soc. (2)",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the London Mathematical Society (series
                 2)",
  journal-URL =  "http://jlms.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Misc{Borwein:1977:WLP,
  author =       "J. M. Borwein",
  title =        "The {William Lowell Putnam} Competition. {A} Brief
                 History",
  howpublished = "Unpublished notes.",
  pages =        "9",
  day =          "26",
  month =        jan,
  year =         "1977",
  bibdate =      "Mon Nov 07 06:59:36 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "In December 1921 William Lowell Putnam, a magna cum
                 laude Mathematics graduate of the Harvard class of
                 1882, wrote in the Harvard Graduate Magazine on ``A
                 Suggestion For Increasing The Undergraduate Interest In
                 Studies''. He noted that all prizes for scholarship
                 were individual and suggested that ``a Harvard man
                 prefers for example to be a member of a tennis team to
                 play against Yale \ldots{} rather than to be champion
                 of Harvard'' and that the same principle of team work
                 and team competition ``which has inspired young men to
                 undertake and undergo so much for the sake of athletic
                 victories might accomplish some result in academic
                 fields''. These sentiments, and others which seem even
                 more dated, would probably have had no effect were it
                 not that Putnam's wife was a Lowell, was extremely rich
                 and was the sister of then President Abbott Lowell of
                 Harvard. Putnam's mother was also a Lowell while his
                 father was a Unitarian with all the right connections
                 and memberships who founded the English Speaking Union
                 among other organizations and wrote prodigiously on
                 many learned topics",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1978:CCC,
  author =       "J. M. Borwein and R. C. O'Brien",
  title =        "Cancellation characterizes convexity",
  journal =      "Nanta Mathematica",
  volume =       "11",
  number =       "1",
  pages =        "100--102",
  year =         "1978",
  CODEN =        "NAMAB2",
  ISSN =         "0077-2739",
  MRclass =      "52A20",
  MRnumber =     "510842",
  MRreviewer =   "John D. Baildon",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1659/",
  acknowledgement = ack-nhfb,
  ajournal =     "Nanta Math.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nanyang University. Nanta Mathematica",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1978:SEF,
  author =       "J. M. Borwein",
  title =        "On strongly exposing functionals",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "69",
  number =       "1",
  pages =        "46--48",
  year =         "1978",
  CODEN =        "PAMYAR",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B99 (52A05)",
  MRnumber =     "0493272",
  MRreviewer =   "Ka Sing Lau",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1665/;
                 http://www.jstor.org/stable/2043185",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1978:TCS,
  author =       "J. M. Borwein",
  title =        "Tangent cones, starshape and convexity",
  journal =      j-INT-J-MATH-MATH-SCI,
  volume =       "1",
  number =       "4",
  pages =        "459--477",
  year =         "1978",
  DOI =          "https://doi.org/10.1155/S0161171278000460",
  ISSN =         "0161-1712 (print), 1687-0425 (electronic)",
  ISSN-L =       "0161-1712",
  MRclass =      "52A30 (90C30)",
  MRnumber =     "517949",
  MRreviewer =   "Gerald Beer",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1663/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "International Journal of Mathematics and Mathematical
                 Sciences",
  journal-URL =  "https://www.hindawi.com/journals/ijmms/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1978:WTC,
  author =       "J. Borwein",
  title =        "Weak Tangent Cones and Optimization in a {Banach}
                 Space",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "16",
  number =       "3",
  pages =        "512--522",
  month =        may,
  year =         "1978",
  CODEN =        "SJCODC",
  DOI =          "https://doi.org/10.1137/0316034",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "65K05 (90C99)",
  MRnumber =     "0478612",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/16/3;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1664/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  journalabr =   "SIAM J Control Optim",
  onlinedate =   "May 1978",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Unpublished{Borwein:1979:CD,
  author =       "J. M. Borwein",
  title =        "On convex decompositions",
  year =         "1979",
  bibdate =      "Fri Aug 12 16:51:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Accepted for publication in \booktitle{Nanta
                 Mathematica}, but the journal ceased publication in
                 1979 before the paper appeared.",
  URL =          "http://docserver.carma.newcastle.edu.au/1672/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1979:COA,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Characterizations of Optimality for the Abstract
                 Convex Program",
  type =         "Research Report",
  number =       "19",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "54",
  month =        jul,
  year =         "1979",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  abstract =     "This paper presents characterizations of optimality
                 for the convex program $$ (p) \mu = \inf \{ p(x) \colon
                 g(x) \in - S, x \in \Omega \} $$ when $S$ is an
                 arbitrary convex cone in a finite dimensional space, $
                 \Omega $ is a convex set and $p$ and $g$ are
                 respectively convex and S-convex(on $ \Omega $). These
                 characterizations, which include a Lagrange multiplier
                 and do not presume any a priori constraint
                 qualification, subsume those presently in the
                 literature.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "abstract programming; cone of positive semi-definite
                 matrices; convexity; duality principles; facial
                 reduction; Lagrange multipliers; Slater's condition;
                 subgradients; symmetric matrices",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1979:COC,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Characterizations of optimality without constraint
                 qualification for the abstract convex program",
  type =         "Research Report",
  number =       "14",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "59",
  month =        jun,
  year =         "1979",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1979:DTS,
  author =       "J. M. Borwein",
  title =        "Direct theorems in semi-infinite convex programming",
  type =         "Report",
  number =       "11",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "33",
  month =        apr,
  year =         "1979",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "Recently Ben-Tal, Ben-Israel and Rossinger [1] have
                 proven a ``direct theorem'' for the existence of finite
                 subprograms for infinitely constrained programming
                 problems with finitely many variables. They did this
                 via a Helly-type theorem for open convex sets due to
                 Klee [10], [7]. The proof of Klee's theorem [10] is
                 somewhat difficult to follow and, in addition, requires
                 the use of the notion of an ``open-closed'' family of
                 sets. One of the purposes of this paper is to provide
                 an entirely self-contained proof of an extension of the
                 result in [1].",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1979:LLC,
  author =       "J. M. Borwein",
  title =        "The Limiting Lagrangean as a Consequence of {Helly's
                 Theorem}",
  type =         "Report",
  number =       "7",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  month =        mar,
  year =         "1979",
  bibdate =      "Tue Nov 08 15:34:18 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "The perturbational Lagrangean equation established by
                 Jeroslow in convex semi-infinite programming is derived
                 from Helly's Theorem and some prior results on one
                 dimensional perturbations of convex programs.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Affine Minorants; convex semi-infinite programming;
                 Helly's Theorem; limiting Lagrangeans; Recession
                 Directions",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1979:MAF,
  author =       "J. M. Borwein",
  title =        "A multivalued approach to the {Farkas} lemma",
  journal =      j-MATH-PROG-STUDY,
  volume =       "10",
  pages =        "42--47",
  year =         "1979",
  CODEN =        "MPSTDF",
  DOI =          "https://doi.org/10.1007/BFb0120842",
  ISSN =         "0303-3929",
  ISSN-L =       "0303-3929",
  MRclass =      "90C99",
  MRnumber =     "527056",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Point-to-set maps and mathematical programming.",
  URL =          "http://docserver.carma.newcastle.edu.au/1660/;
                 http://link.springer.com/chapter/10.1007/BFb0120842",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming Study",
  journal-URL =  "https://link.springer.com/bookseries/8439",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1979:MFP,
  author =       "J. M. Borwein",
  booktitle =    "{Third Symposium on Operations Research (Univ.
                 Mannheim, Mannheim, 1978), Section I}",
  title =        "The minimum of a family of programs",
  volume =       "31",
  publisher =    "Hain",
  pages =        "99--111",
  year =         "1979",
  MRclass =      "90C25",
  MRnumber =     "541191",
  MRreviewer =   "Jacques Dubois",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Operations Res. Verfahren",
  acknowledgement = ack-nhfb,
  addresss =     "K{\"o}nigstein im Taunus, West Germany",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1979:MLP,
  author =       "Jonathan M. Borwein",
  title =        "Monochrome lines in the plane",
  journal =      j-MATH-MAG,
  volume =       "52",
  number =       "1",
  pages =        "41--45",
  year =         "1979",
  CODEN =        "MAMGA8",
  DOI =          "https://doi.org/10.2307/2689976",
  ISSN =         "0025-570X (print), 1930-0980 (electronic)",
  ISSN-L =       "0025-570X",
  MRclass =      "54B20 (57N05)",
  MRnumber =     "524202",
  MRreviewer =   "H. W. Lambert",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1662/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematics Magazine",
  journal-URL =  "http://www.maa.org/pubs/mathmag.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1979:TVS,
  author =       "J. M. Borwein",
  title =        "Two variants of {Sylvester}'s theorem",
  journal =      "Atlantic Mathematics Bulletin",
  volume =       "3",
  number =       "??",
  pages =        "11--13",
  month =        "????",
  year =         "1979",
  DOI =          "",
  ISSN =         "0705-9078",
  ISSN-L =       "0705-9078",
  bibdate =      "Fri Aug 12 16:08:43 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1658/",
  acknowledgement = ack-nhfb,
  ajournal =     "Atlantic Math. Bull.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Atlantic Mathematics Bulletin",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1979:WLS,
  author =       "J. M. Borwein",
  title =        "Weak local supportability and applications to
                 approximation",
  journal =      j-PAC-J-MATH,
  volume =       "82",
  number =       "2",
  pages =        "323--338",
  year =         "1979",
  CODEN =        "PJMAAI",
  ISSN =         "0030-8730 (print), 1945-5844 (electronic)",
  ISSN-L =       "0030-8730",
  MRclass =      "46B99 (41A25 49A27 58C20 90C30)",
  MRnumber =     "551692",
  MRreviewer =   "Ka Sing Lau",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://projecteuclid.org/euclid.pjm/1102784876",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Pacific Journal of Mathematics",
  journal-URL =  "http://msp.org/pjm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1980:GPE,
  author =       "J. M. Borwein",
  title =        "The geometry of {Pareto} efficiency over cones",
  journal =      j-OPTIMIZATION,
  volume =       "11",
  number =       "2",
  pages =        "235--248",
  year =         "1980",
  CODEN =        "OPTZDQ",
  DOI =          "https://doi.org/10.1080/02331938008842650",
  ISSN =         "0323-3898",
  ISSN-L =       "0233-1934",
  MRclass =      "90C31 (58E17 90C25 90C30)",
  MRnumber =     "640689",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/02331938008842650",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematische Operationsforschung und Statistik Series
                 Optimization",
  journal-URL =  "http://www.tandfonline.com/loi/gopt20",
  onlinedate =   "5 July 2007",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1980:HMC,
  author =       "J. Borwein and L. Keener",
  title =        "The {Hausdorff} metric and {{\v{C}}eby{\v{s}}ev}
                 centres",
  journal =      j-J-APPROX-THEORY,
  volume =       "28",
  number =       "4",
  pages =        "366--376",
  year =         "1980",
  CODEN =        "JAXTAZ",
  DOI =          "https://doi.org/10.1016/0021-9045(80)90071-4",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "41A65 (46B20)",
  MRnumber =     "589992",
  MRreviewer =   "S. Cobza{\c{s}}",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1652/;
                 http://www.sciencedirect.com/science/article/pii/0021904580900714",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1980:LM,
  author =       "J. M. Borwein",
  title =        "Lexicographic multipliers",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "78",
  number =       "1",
  pages =        "309--327",
  year =         "1980",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(80)90228-0",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "90C25 (58C20)",
  MRnumber =     "595782",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1653/;
                 http://www.sciencedirect.com/science/article/pii/0022247X80902280",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1980:LMT,
  author =       "J. M. Borwein",
  title =        "A {Lagrange} Multiplier Theorem and a Sandwich Theorem
                 for Convex Relations",
  type =         "Research Report",
  number =       "80-1",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "26",
  day =          "15",
  month =        jan,
  year =         "1980",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We formulate and prove various separation principles
                 for convex relations taking values in an order complete
                 vector space. These principles subsume the standard
                 ones",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "convex relations; Fenchel's theorem; Lagrange
                 multipliers; order complete spaces; separation",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1980:NPD,
  author =       "J. M. Borwein",
  title =        "A note on perfect duality and limiting {Lagrangeans}",
  journal =      j-MATH-PROG,
  volume =       "18",
  number =       "1",
  pages =        "330--337",
  year =         "1980",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01588327",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C25",
  MRnumber =     "571994",
  MRreviewer =   "N. N. Astaf{\cprime}ev",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1654/;
                 http://link.springer.com/article/10.1007/BF01588327",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxnumber =     "3",
}

@Article{Borwein:1980:SDT,
  author =       "J. M. Borwein",
  title =        "A strong duality theorem for the minimum of a family
                 of convex programs",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "31",
  number =       "4",
  pages =        "453--472",
  year =         "1980",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00934472",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C25 (46G99 90C30)",
  MRnumber =     "600199",
  MRreviewer =   "Tadashi Nakamura",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1657/;
                 http://link.springer.com/article/10.1007/BF00934472",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Tijs:1980:SGC,
  author =       "S. H. Tijs and J. M. Borwein",
  title =        "Some Generalizations of {Carath{\'e}odory}'s Theorem
                 via Barycentres, with Application to Mathematical
                 Programming",
  journal =      j-CAN-MATH-BULL,
  volume =       "23",
  number =       "3",
  pages =        "339--346",
  month =        sep,
  year =         "1980",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1980-048-x",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "90C05 (46G99 58C20)",
  MRnumber =     "593393",
  MRreviewer =   "M. Brannigan",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://cms.math.ca/cmb/v23/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1656/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1981:CCP,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Cone-convex programming, stability and affine
                 constraints",
  crossref =     "Schaible:1981:CCP",
  pages =        "379--397",
  year =         "1981",
  bibdate =      "Mon Mar 6 22:00:29 MST 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Invited paper.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxpages =      "379--392",
  xxtitle =      "Cone-convex programming, stability and affine
                 constraint functions",
}

@Article{Borwein:1981:COA,
  author =       "Jon M. Borwein and Henry Wolkowicz",
  title =        "Characterization of optimality for the abstract convex
                 program with finite dimensional range",
  journal =      j-J-AUSTRAL-MATH-SOC-SER-A,
  volume =       "30",
  number =       "4",
  pages =        "390--411",
  month =        apr,
  year =         "1981",
  CODEN =        "JAMADS",
  DOI =          "https://doi.org/10.1017/S1446788700017882",
  ISSN =         "0263-6115 (print), 2396-8192 (electronic)",
  ISSN-L =       "0263-6115",
  MRclass =      "90C48",
  MRnumber =     "621556 (83i:90156)",
  MRreviewer =   "R. L. Graves",
  bibdate =      "Wed Aug 31 15:25:43 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1649/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4896312",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the Australian Mathematical Society. Series
                 A",
  journal-URL =  "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  received =     "21 March 1980",
}

@InCollection{Borwein:1981:CRO,
  author =       "J. M. Borwein",
  booktitle =    "Generalized Convexity in Optimization and Economics",
  title =        "Convex relations in optimization and analysis",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "335--377",
  year =         "1981",
  ISBN =         "",
  ISBN-13 =      "",
  LCCN =         "",
  bibdate =      "Mon Aug 15 15:17:45 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1981:DTS,
  author =       "J. M. Borwein",
  title =        "Direct theorems in semi-infinite convex programming",
  journal =      j-MATH-PROG,
  volume =       "21",
  number =       "1",
  pages =        "301--318",
  year =         "1981",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01584251",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C25 (49D39 90C30)",
  MRnumber =     "632637",
  MRreviewer =   "{\c{S}}tefan {\c{T}}igan",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://link.springer.com/article/10.1007/BF01584251",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxnumber =     "3",
}

@Article{Borwein:1981:FRC,
  author =       "Jon M. Borwein and Henry Wolkowicz",
  title =        "Facial reduction for a cone-convex programming
                 problem",
  journal =      j-J-AUSTRAL-MATH-SOC-SER-A,
  volume =       "30",
  number =       "3",
  pages =        "369--380",
  month =        feb,
  year =         "1981",
  CODEN =        "JAMADS",
  DOI =          "https://doi.org/10.1017/S1446788700017250",
  ISSN =         "0263-6115 (print), 2396-8192 (electronic)",
  ISSN-L =       "0263-6115",
  MRclass =      "90C25; 90C48",
  MRnumber =     "83b:90121 (614086)",
  MRreviewer =   "B. T. Polyak",
  bibdate =      "Wed Aug 31 16:29:21 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1650/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5441184",
  ZMnumber =     "0464.90086",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the Australian Mathematical Society. Series
                 A",
  journal-URL =  "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ",
  onlinedate =   "28 July 1980",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  received =     "21 March 1980",
}

@Article{Borwein:1981:LLC,
  author =       "J. M. Borwein",
  title =        "The limiting {Lagrangian} as a consequence of
                 {Helly}'s theorem",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "33",
  number =       "4",
  pages =        "497--513",
  year =         "1981",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00935755",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C25",
  MRnumber =     "616567",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1647/;
                 http://link.springer.com/article/10.1007/BF00935755",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1981:LMT,
  author =       "J. M. Borwein",
  title =        "A {Lagrange} multiplier theorem and a sandwich theorem
                 for convex relations",
  journal =      j-MATH-SCAND,
  volume =       "48",
  number =       "2",
  pages =        "189--204",
  year =         "1981",
  CODEN =        "MTSCAN",
  ISSN =         "0025-5521 (print), 1903-1807 (electronic)",
  ISSN-L =       "0025-5521",
  MRclass =      "49A50 (26A51 46A22 90C25); 49J45 (Optimal control
                 problems involving semicontinuity and convergence;
                 relaxation); 58C06 (Set-valued and function-space
                 valued mappings on manifolds); 49J27 (Optimal control
                 problems in abstract spaces (existence)); 46A30 (Open
                 mapping and closed graph theorems; completeness); 46A40
                 (Ordered topological linear spaces, vector lattices)",
  MRnumber =     "631335",
  MRreviewer =   "Michel Th{\'e}ra",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1646/;
                 http://www.mscand.dk/article/view/11911/9927",
  ZMnumber =     "0468.49007",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematica Scandinavica",
  journal-URL =  "http://www.mscand.dk/issue/archive",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1981:RAC,
  author =       "Jon Borwein and Henry Wolkowicz",
  title =        "Regularizing the abstract convex program",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "83",
  number =       "2",
  pages =        "495--530",
  year =         "1981",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(81)90138-4",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "90C48 (90C25)",
  MRnumber =     "641348",
  MRreviewer =   "S. Zlobec",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1645/;
                 http://www.sciencedirect.com/science/article/pii/0022247X81901384",
  abstract =     "Characterizations of optimality for the abstract
                 convex program $ \mu = i n f \{ p(x) \colon g(x) \in -
                 S, x \in \Omega \} (P) $ where $S$ is an arbitrary
                 convex cone in a finite dimensional space, $ \Omega $
                 is a convex set, and $p$ and $g$ are respectively
                 convex and $S$-convex (on $ \Omega $), were given in
                 [10]. These characterizations hold without any
                 constraint qualification. They use the ``minimal cone''
                 $ S^f$ of $ (P)$ and the cone of directions of
                 constancy $ D_g = (S^f)$. In the faithfully convex case
                 these cones can be used to regularize $ (P)$, i.e.,
                 transform $ (P)$ into an equivalent program $ (P_r)$
                 for which Slater's condition holds. We present an
                 algorithm that finds both $ S^$ f and $ D_g = (S^f)$.
                 The main step of the algorithm consists in solving a
                 particular complementarity problem. We also present a
                 characterization of optimality for $ (P)$ in terms of
                 the cone of directions of constancy of a convex
                 functional $ D_{\phi g}^ = $ rather than $ D_g^ =
                 (S^f)$.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1981:SRP,
  author =       "J. Borwein",
  title =        "Some remarks on a paper of {{\c{S}. Cobza{\c{s}} on
                 antiproximal sets: ``Antiproximinal sets in some Banach
                 spaces'' [Math. Balkanica {\bf 4} (1974), 79--82; MR
                 {\bf 51} \#13553]}}",
  journal =      j-BULL-CALCUTTA-MATH-SOC,
  volume =       "73",
  number =       "1",
  pages =        "5--8",
  year =         "1981",
  CODEN =        "BCMSA5",
  ISSN =         "0008-0659",
  ISSN-L =       "0008-0659",
  MRclass =      "46B20",
  MRnumber =     "669750",
  MRreviewer =   "M. M. Day",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1648/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Bulletin of the Calcutta Mathematical Society",
  journal-URL =  "http://bulletin.calmathsoc.org/database.php",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1982:CDP,
  author =       "J. M. Borwein",
  title =        "Continuity and differentiability properties of convex
                 operators",
  journal =      j-PROC-LONDON-MATH-SOC-3,
  volume =       "44",
  number =       "3",
  pages =        "420--444",
  year =         "1982",
  CODEN =        "PLMTAL",
  DOI =          "https://doi.org/10.1112/plms/s3-44.3.420",
  ISSN =         "0024-6115 (print), 1460-244x (electronic)",
  ISSN-L =       "0024-6115",
  MRclass =      "58C20 (46G99 47H99 49A51 52A07)",
  MRnumber =     "656244",
  MRreviewer =   "Jean-Paul Penot",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1640/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the London Mathematical Society. Third
                 Series",
  journal-URL =  "http://londmathsoc.onlinelibrary.wiley.com/hub/journal/10.1112/(ISSN)1460-244X/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1982:COCa,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Characterizations of optimality without constraint
                 qualification for the abstract convex program",
  journal =      j-MATH-PROG-STUDY,
  volume =       "19",
  pages =        "77--100",
  year =         "1982",
  CODEN =        "MPSTDF",
  ISSN =         "0303-3929",
  ISSN-L =       "0303-3929",
  MRclass =      "90C25",
  MRnumber =     "669726",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Optimality and stability in mathematical
                 programming.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming Study",
  journal-URL =  "https://link.springer.com/bookseries/8439",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1982:COCb,
  author =       "J. M. Borwein and H. Wolkowicz",
  booktitle =    "{Optimality and Stability in Mathematical
                 Programming}",
  title =        "Characterizations of optimality without constraint
                 qualification for the abstract convex program",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "??--??",
  year =         "1982",
  DOI =          "https://doi.org/10.1007/BFb0120983",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0120983",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1982:HBE,
  author =       "Jonathan M. Borwein",
  title =        "On the {Hahn--Banach} extension property",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "86",
  number =       "1",
  pages =        "42--46",
  year =         "1982",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2044393",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46A40 (06F20)",
  MRnumber =     "663863",
  MRreviewer =   "M. M. Day",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1982:NES,
  author =       "J. M. Borwein",
  title =        "A note on the existence of subgradients",
  journal =      j-MATH-PROG,
  volume =       "24",
  number =       "2",
  pages =        "225--228",
  year =         "1982",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01585105",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "49A50 (90C25)",
  MRnumber =     "674632",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1641/;
                 http://link.springer.com/article/10.1007/BF01585105",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxnumber =     "1",
}

@Article{Borwein:1982:NSC,
  author =       "J. M. Borwein",
  title =        "Necessary and sufficient conditions for quadratic
                 minimality",
  journal =      j-NUMER-FUNCT-ANAL-OPTIM,
  volume =       "5",
  number =       "2",
  pages =        "127--140",
  year =         "1982",
  CODEN =        "NFADOL",
  DOI =          "https://doi.org/10.1080/01630568208816135",
  ISSN =         "0163-0563 (print), 1532-2467 (electronic)",
  ISSN-L =       "0163-0563",
  MRclass =      "90C20",
  MRnumber =     "704109",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1639/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Numerical Functional Analysis and Optimization. An
                 International Journal",
  journal-URL =  "http://www.tandfonline.com/loi/lnfa20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1982:NSM,
  author =       "J. M. Borwein",
  title =        "A note on $ \varepsilon $-subgradients and maximal
                 monotonicity",
  journal =      j-PAC-J-MATH,
  volume =       "103",
  number =       "2",
  pages =        "307--314",
  year =         "1982",
  CODEN =        "PJMAAI",
  ISSN =         "0030-8730 (print), 1945-5844 (electronic)",
  ISSN-L =       "0030-8730",
  MRclass =      "90C25 (49A50 58C20)",
  MRnumber =     "705231",
  MRreviewer =   "J. E. Spingarn",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://projecteuclid.org/euclid.pjm/1102723964",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Pacific Journal of Mathematics",
  journal-URL =  "http://msp.org/pjm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1982:SSI,
  author =       "J. M. Borwein and G. P. H. Styan and H. Wolkowicz",
  title =        "Solutions: Some Inequalities Involving Statistical
                 Expressions ({L. V. Foster})",
  journal =      j-SIAM-REVIEW,
  volume =       "24",
  number =       "3",
  pages =        "340--342",
  month =        "????",
  year =         "1982",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1024072",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:30 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/24/3;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "July 1982",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1983:APD,
  author =       "J. M. Borwein",
  title =        "Adjoint process duality",
  journal =      j-MATH-OP-RES,
  volume =       "8",
  number =       "3",
  pages =        "403--434",
  year =         "1983",
  CODEN =        "MOREDQ",
  DOI =          "https://doi.org/10.1287/moor.8.3.403",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C25",
  MRnumber =     "716121",
  MRreviewer =   "J. E. Spingarn",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "See letter \cite{Zalinescu:1986:LEJ}.",
  URL =          "http://docserver.carma.newcastle.edu.au/1633/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1983:CCP,
  author =       "J. M. Borwein",
  title =        "Completeness and the contraction principle",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "87",
  number =       "2",
  pages =        "246--250",
  year =         "1983",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2043697",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "54H25 (54E40)",
  MRnumber =     "681829",
  MRreviewer =   "L. Janos",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1637/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1983:EPE,
  author =       "Jonathan M. Borwein",
  title =        "On the existence of {Pareto} efficient points",
  journal =      j-MATH-OP-RES,
  volume =       "8",
  number =       "1",
  pages =        "64--73",
  month =        feb,
  year =         "1983",
  CODEN =        "MOREDQ",
  DOI =          "https://doi.org/10.1287/moor.8.1.64",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C25 (46N05 52A05)",
  MRnumber =     "703826",
  MRreviewer =   "Autorreferat",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1636/;
                 http://www.jstor.org/stable/3689411",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1983:FDS,
  author =       "J. M. Borwein and K. O. Kortanek",
  title =        "{Fenchel}-duality and separably-infinite programs",
  journal =      j-OPTIMIZATION,
  volume =       "14",
  number =       "1",
  pages =        "37--48.",
  year =         "1983",
  CODEN =        "OPTZDQ",
  DOI =          "https://doi.org/10.1080/02331938308842831",
  ISSN =         "0323-3898",
  ISSN-L =       "0233-1934",
  MRclass =      "90C25 (90C05)",
  MRnumber =     "694801",
  MRreviewer =   "W. F. Tyndall",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematische Operationsforschung und Statistik Series
                 Optimization",
  journal-URL =  "http://www.tandfonline.com/loi/gopt20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1983:HSS,
  author =       "J. M. Borwein",
  booktitle =    "Semi-infinite Programming",
  title =        "How special is semi-infinite programming?",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "139--172",
  year =         "1983",
  bibdate =      "Mon Aug 15 15:11:40 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1983:NFL,
  author =       "J. M. Borwein",
  title =        "A note on the {Farkas} lemma",
  journal =      j-UTIL-MATH,
  volume =       "24",
  pages =        "235--241",
  year =         "1983",
  CODEN =        "UTMADA",
  ISSN =         "0315-3681",
  MRclass =      "90C05 (90C30)",
  MRnumber =     "724772",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1631/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Utilitas Mathematica. A Canadian Journal of Applied
                 Mathematics, Computer Science, and Statistics",
  journal-URL =  "http://bkocay.cs.umanitoba.ca/utilitas/index.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1983:NMB,
  author =       "Jonathan Borwein and Brailey Sims",
  title =        "Nonexpansive mappings on {Banach} lattices",
  journal =      j-C-R-ACAD-SCI-CANADA,
  volume =       "5",
  number =       "1",
  pages =        "21--26",
  year =         "1983",
  ISSN =         "0706-1994",
  MRclass =      "46A40 (46B20 47H09)",
  MRnumber =     "690312",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1635/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "La Soci{\'e}t{\'e} Royale du Canada. L'Academie des
                 Sciences. Comptes Rendus Math{\'e}matiques.
                 (Mathematical Reports)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1983:PSA,
  author =       "J. Borwein and Gabor J. Szekely and Andras Zempleni
                 and Michael Barr and Edmund Butler and Allen J. Schwenk
                 and Thomas Q. Sibley",
  title =        "Problems and Solutions: Advanced Problems: 6430-6435",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "90",
  number =       "6",
  pages =        "402--403",
  year =         "1983",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2975584",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1540218",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1983:SIP,
  author =       "Jonathan M. Borwein",
  editor =       "Anthony V. Fiacco and Kenneth O. Kortanek",
  booktitle =    "{Semi-Infinite Programming and Applications: an
                 International Symposium, Austin, Texas, September 8
                 -10, 1981}",
  title =        "Semi-infinite programming duality: how special is
                 it?",
  volume =       "215",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xi + 322",
  pages =        "10--36",
  year =         "1983",
  DOI =          "https://doi.org/10.1007/978-3-642-46477-5_2",
  ISBN =         "0-387-12304-0 (paperback: New York), 3-540-12304-0
                 (paperback: Berlin)",
  ISBN-13 =      "978-0-387-12304-2 (paperback: New York),
                 978-3-540-12304-0 (paperback: Berlin)",
  LCCN =         "QA402.5 .S428 1983",
  MRclass =      "49D39 (90C30)",
  MRnumber =     "709266",
  MRreviewer =   "Sven-{\.A}ke Gustafson",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Lecture Notes in Economics and Mathematical Systems",
  acknowledgement = ack-nhfb,
  aseries =      "Lecture Notes in Econom. and Math. Systems",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  book-DOI =     "https://doi.org/10.1007/978-3-642-46477-5",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1983:VRC,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A very rapidly convergent product expansion for $ \pi
                 $",
  journal =      j-BIT,
  volume =       "23",
  number =       "4",
  pages =        "538--540",
  month =        dec,
  year =         "1983",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01933626",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65B99",
  MRnumber =     "721199, 85h:65011",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=23&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1634/;
                 http://link.springer.com/article/10.1007/BF01933626;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=23&issue=4&spage=538",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  journal-URL =  "http://link.springer.com/journal/10543",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1984:AGM,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "The Arithmetic--Geometric Mean and Fast Computation of
                 Elementary Functions",
  journal =      j-SIAM-REVIEW,
  volume =       "26",
  number =       "3",
  pages =        "351--366",
  month =        jul,
  year =         "1984",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1026073",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65D20 (26A09)",
  MRnumber =     "750454; 86d:65029",
  MRreviewer =   "S. Conde",
  bibdate =      "Tue Mar 14 07:52:56 2017",
  bibsource =    "Compendex database;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://epubs.siam.org/toc/siread/26/3;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://www.jstor.org/stable/2031275",
  abstract =     "We produce a self contained account of the
                 relationship between the Gaussian arithmetic--geometric
                 mean iteration and the fast computation of elementary
                 functions. A particularly pleasant algorithm for pi is
                 one of the by-products.",
  acknowledgement = ack-nhfb # " and " # ack-nj,
  affiliationaddress = "Dalhousie Univ, Halifax, NS, Can",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  classification = "723; 921",
  fjournal =     "SIAM Review. A Publication of the Society for
                 Industrial and Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabr =   "SIAM Rev",
  keywords =     "AGM (Arithmetic--Geometric Mean);
                 arithmetic--geometric mean; calculation of pi;
                 computational methods; elliptic functions; Iterative
                 Methods; mathematical techniques; numerical
                 mathematics",
  onlinedate =   "July 1984",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1984:ANV,
  author =       "J. M. Borwein and D. T. Yost",
  title =        "Absolute norms on vector lattices",
  journal =      j-PROC-EDINBURGH-MATH-SOC-2,
  volume =       "27",
  number =       "2",
  pages =        "215--222",
  month =        jun,
  year =         "1984",
  CODEN =        "PEMSA3",
  DOI =          "https://doi.org/10.1017/S0013091500022318",
  ISSN =         "0013-0915 (print), 1464-3839 (electronic)",
  ISSN-L =       "0013-0915",
  MRclass =      "46A40 (46B30 90C48)",
  MRnumber =     "760617",
  MRreviewer =   "I. Namioka",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1624/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3076132",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the Edinburgh Mathematical Society.
                 Series II",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PEM",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1984:CCO,
  author =       "J. M. Borwein and J.-P. Penot and M. Th{\'e}ra",
  title =        "Conjugate convex operators",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "102",
  number =       "2",
  pages =        "399--414",
  year =         "1984",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(84)90180-X",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "90C48 (46G99 49A50)",
  MRnumber =     "755971",
  MRreviewer =   "Christian Malivert",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1620/;
                 http://www.sciencedirect.com/science/article/pii/0022247X8490180X",
  abstract =     "Convex mappings from a locally convex space X into F.
                 = F \cup {+\infty } are considered, where F is an
                 ordered topological vector space and + \infty an
                 arbitrary greatest element adjoined to F. In view of
                 applications to the polarity theory of convex
                 operators, the possibility is investigated of
                 representing a convex mapping taking values in F. as a
                 supremum of continuous affine mappings.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1984:CHO,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Cubic and higher order algorithms for $ \pi $",
  journal =      j-CAN-MATH-BULL,
  volume =       "27",
  number =       "4",
  pages =        "436--443",
  month =        dec,
  year =         "1984",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1984-067-7",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "11Y16 (33A25 65D20)",
  MRnumber =     "763041",
  MRreviewer =   "L. C. Eggan",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://cms.math.ca/cmb/v27/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
                 https://www.math.utah.edu/pub/tex/bib/pi.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1622/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1984:DLM,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "Directionally {Lipschitzian} mappings on {Baire}
                 spaces",
  journal =      j-CAN-J-MATH,
  volume =       "36",
  number =       "1",
  pages =        "95--130",
  year =         "1984",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1984-008-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "49A52 (26A27 58C20 90C30 90C48)",
  MRnumber =     "733710",
  MRreviewer =   "Jean-Paul Penot",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1627/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1984:EAO,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Explicit algebraic $n$ th order approximations to pi",
  crossref =     "Singh:1984:ATS",
  volume =       "136",
  pages =        "247--256",
  year =         "1984",
  DOI =          "https://doi.org/10.1007/978-94-009-6466-2_12",
  MRclass =      "65D20",
  MRnumber =     "786845",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/pi.bib",
  URL =          "http://link.springer.com/chapter/10.1007/978-94-009-6466-2_12",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1984:EEH,
  author =       "J. M. Borwein",
  editor =       "????",
  booktitle =    "APICS Proceedings",
  title =        "On the existence of eigenvalues for {Hermitian}
                 matrices",
  publisher =    "????",
  address =      "????",
  pages =        "1--5",
  year =         "1984",
  DOI =          "",
  ISBN =         "",
  ISBN-13 =      "",
  LCCN =         "",
  bibdate =      "Mon Aug 15 15:10:50 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxaddress =    "Falls Church, VA",
  xxbooktitle =  "{APICS Microprocessor Seminar proceedings, January 30,
                 31, February 1, 1984, Palm Springs, {CA}}",
  xxISBN =       "0-935406-40-9",
  xxisbn-13 =    "978-0-935406-40-5",
  xxLCCN =       "TS157 .A64 1984",
  xxpublisher =  "American Production and Inventory Control Society",
}

@Unpublished{Borwein:1984:EIA,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Elliptic integrals and approximations to $ \pi $",
  month =        jan,
  year =         "1984",
  bibdate =      "Mon Nov 07 17:37:11 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Typescript, with 84-01 added by hand on cover page.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1984:GLC,
  author =       "J. M. Borwein",
  title =        "Generalized linear complementarity problems treated
                 without fixed-point theory",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "43",
  number =       "3",
  pages =        "343--356",
  year =         "1984",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00934459",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C33 (90C25)",
  MRnumber =     "750013",
  MRreviewer =   "Ikuyo Kaneko",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://link.springer.com/article/10.1007/BF00934459",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1984:HMM,
  author =       "J. M. Borwein and B. Richmond",
  title =        "How many matrices have roots?",
  journal =      j-CAN-J-MATH,
  volume =       "36",
  number =       "2",
  pages =        "286--299",
  year =         "1984",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1984-018-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "15A23",
  MRnumber =     "749985",
  MRreviewer =   "J. L. Brenner",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1628/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1984:ICE,
  author =       "J. M. Borwein",
  title =        "An integral characterization of {Euclidean} space",
  journal =      j-BULL-AUSTRAL-MATH-SOC,
  volume =       "29",
  number =       "3",
  pages =        "357--364",
  year =         "1984",
  CODEN =        "ALNBAB",
  DOI =          "https://doi.org/10.1017/S0004972700021602",
  ISSN =         "0004-9727 (print), 1755-1633 (electronic)",
  ISSN-L =       "0004-9727",
  MRclass =      "46C10",
  MRnumber =     "748728",
  MRreviewer =   "M. M. Day",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1623/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Bulletin of the Australian Mathematical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1984:NMB,
  author =       "Jon M. Borwein and Brailey Sims",
  title =        "Nonexpansive mappings on {Banach} lattices and related
                 topics",
  journal =      j-HOUSTON-J-MATH,
  volume =       "10",
  number =       "3",
  pages =        "339--356",
  year =         "1984",
  CODEN =        "HJMADZ",
  ISSN =         "0362-1588",
  MRclass =      "47H10 (46A40 46B20)",
  MRnumber =     "763236",
  MRreviewer =   "Gregory B. Passty",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://www.math.uh.edu/~hjm/restricted/archive/v010n3/0339BORWEIN.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Houston Journal of Mathematics",
  journal-URL =  "https://www.math.uh.edu/~hjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1984:RCC,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Reduced Complexity Calculation of Log",
  number =       "DALTR 84-01",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "17",
  month =        jan,
  year =         "1984",
  bibdate =      "Mon Nov 07 17:37:11 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "Various reduced complexity methods for high precision
                 computation of the logarithm are investigated.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "analytic complexity; arithmetic--geometric mean;
                 binary splitting; bit complexity; elliptic integrals;
                 Fast Fourier Transform; logarithms; operational
                 complexity; theta functions",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Typescript, with 84-01 added by hand on cover page.",
}

@Article{Borwein:1984:SCO,
  author =       "J. M. Borwein",
  title =        "Subgradients of convex operators",
  journal =      j-OPTIMIZATION,
  volume =       "15",
  number =       "2",
  pages =        "179--191",
  year =         "1984",
  CODEN =        "OPTZDQ",
  DOI =          "https://doi.org/10.1080/02331938408842921",
  ISSN =         "0323-3898",
  ISSN-L =       "0233-1934",
  MRclass =      "90C25 (65K05)",
  MRnumber =     "741284",
  MRreviewer =   "C. A. Botsaris",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematische Operationsforschung und Statistik Series
                 Optimization",
  journal-URL =  "http://www.tandfonline.com/loi/gopt20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1984:SCS,
  author =       "J. M. Borwein and D. W. Tingley",
  title =        "On Supportless Convex Sets",
  type =         "Report",
  number =       "DALTR 84-04",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "13",
  year =         "1984",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We give some general constructions of supportless
                 convex subsets of normed spaces and pose a number of
                 open questions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Bishop-Phelps Theorem; convex sets; support points",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1984:SRP,
  author =       "J. M. Borwein",
  title =        "Stability and Regular Points of Inequality Systems",
  type =         "Report",
  number =       "DALTR 84-02",
  institution =  "Department of Mathematics, Dalhousie University and
                 Carnegie-Mellon University",
  address =      "Halifax, NS, Canada and Pittsburgh, PA, USA",
  pages =        "67",
  year =         "1984",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We undertake a general study of regular points of
                 Lipschitz and strictly differentiable mappings with
                 applications to tangent cone analysis, inversion
                 theorems, perturbed optimization problems and higher
                 order conditions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1984:TCS,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A tangent cone separation principle",
  type =         "Report",
  number =       "DALTR 84-03",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  month =        jan,
  year =         "1984",
  bibdate =      "Mon Nov 07 17:37:11 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Typescript, with DALTR added by hand on cover page
                 before typewritten 84-03.",
}

@Article{Borwein:1984:TKN,
  author =       "J. M. Borwein and J. W. Nieuwenhuis",
  title =        "Two kinds of normality in vector optimization",
  journal =      j-MATH-PROG,
  volume =       "28",
  number =       "2",
  pages =        "185--191",
  year =         "1984",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF02612358",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C31",
  MRnumber =     "733210",
  MRreviewer =   "M. Ma{\v{n}}as",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1626/;
                 http://link.springer.com/article/10.1007/BF02612358",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1985:ATG,
  author =       "Jonathan M. Borwein",
  booktitle =    "Infinite programming ({Cambridge}, 1984)",
  title =        "Alternative theorems for general complementarity
                 problems",
  volume =       "259",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "194--203",
  year =         "1985",
  DOI =          "https://doi.org/10.1007/978-3-642-46564-2_15",
  MRclass =      "90C33 (52A40)",
  MRnumber =     "824573",
  MRreviewer =   "J. Parida",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Lecture Notes in Econom. and Math. Systems",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1985:CLS,
  author =       "David Borwein and Jonathan M. Borwein and Keith F.
                 Taylor",
  title =        "Convergence of lattice sums and {Madelung}'s
                 constant",
  journal =      j-J-MATH-PHYS,
  volume =       "26",
  number =       "11",
  pages =        "2999--3009",
  month =        nov,
  year =         "1985",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.526675",
  ISSN =         "0022-2488",
  ISSN-L =       "0022-2488",
  MRclass =      "82A67 (82A60)",
  MRnumber =     "808518",
  MRreviewer =   "Pierre Moussa",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1985JMP....26.2999B;
                 http://docserver.carma.newcastle.edu.au/1618/",
  abstract =     "The lattice sums involved in the definition of
                 Madelung's constant of an NaCl-type crystal lattice in
                 two or three dimensions are investigated. The
                 fundamental mathematical questions of convergence and
                 uniqueness of the sum of these, not absolutely
                 convergent, series are considered. It is shown that
                 some of the simplest direct sum methods converge and
                 some do not converge. In particular, the very common
                 method of expressing Madelung's constant by a series
                 obtained from expanding spheres does not converge. The
                 concept of analytic continuation of a complex function
                 to provide a basis for an unambiguous mathematical
                 definition of Madelung's constant is introduced. By
                 these means, the simple intuitive direct sum methods
                 and the powerful integral transformation methods, which
                 are based on theta function identities and the Mellin
                 transform, are brought together. A brief analysis of a
                 hexagonal lattice is also given.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1985:PSA,
  author =       "Jon Borwein and Anatole Beck",
  title =        "Problems and Solutions: Advanced Problems:
                 6491--6492",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "92",
  number =       "3",
  pages =        "217--217",
  month =        mar,
  year =         "1985",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322884",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1540608",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Beck:1987:PSS,Borwein:1986:PSS}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1985:PSS,
  author =       "J. Borwein",
  title =        "Problems and Solutions: Solutions of Advanced
                 Problems: 6430",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "92",
  number =       "2",
  pages =        "148--149",
  month =        feb,
  year =         "1985",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322656",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1540590",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Borwein:1983:PSA}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1985:SCS,
  author =       "J. M. Borwein and D. W. Tingley",
  title =        "On supportless convex sets",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "94",
  number =       "3",
  pages =        "471--476",
  year =         "1985",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2045238",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B20 (46A55 52A07)",
  MRnumber =     "787897",
  MRreviewer =   "N. T. Peck",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1619/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1985:SMI,
  author =       "Jon Borwein",
  title =        "Some modular identities of {Ramanujan} useful in
                 approximating $ \pi $",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "95",
  number =       "3",
  pages =        "365--371",
  month =        nov,
  year =         "1985",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2045804",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "11F03 (11J72 41A25)",
  MRnumber =     "806072",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1616/;
                 http://www.jstor.org/stable/2045804",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1985:TA,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "Tangential approximations",
  journal =      j-NONLINEAR-ANAL,
  volume =       "9",
  number =       "12",
  pages =        "1347--1366",
  year =         "1985",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/0362-546X(85)90095-1",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "90C48 (46A55 90C25)",
  MRnumber =     "820646",
  MRreviewer =   "Christian Malivert",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1617/;
                 http://www.sciencedirect.com/science/article/pii/0362546X85900951",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "epi-Lipschitzian (compactly epi-Lipschitzian; Tangent
                 cones; tangentially regular) set at a point;
                 unsupportable space",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Honor:1985:DTR,
  author =       "R. B. Honor",
  title =        "Density and transitivity results on $ l^\infty $ and $
                 l^1 $",
  journal =      j-J-LOND-MATH-SOC-2,
  volume =       "S2-32",
  number =       "3",
  pages =        "521--527",
  month =        dec,
  year =         "1985",
  CODEN =        "JLMSAK",
  DOI =          "https://doi.org/10.1112/jlms/s2-32.3.521",
  ISSN =         "0024-6107 (print), 1469-7750 (electronic)",
  ISSN-L =       "0024-6107",
  bibdate =      "Fri Aug 12 15:21:25 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "The `author' is an acronym for the family names of
                 seven people: Heydar Radjavi, Jon Borwein, Don Hadwin,
                 Richard O'Brien, Eric Nordgren, Mehmet Orhon, and Peter
                 Rose.",
  URL =          "http://jlms.oxfordjournals.org/content/s2-32/3/521.full.pdf+html",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Lond. Math. Soc. (2)",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the London Mathematical Society (series
                 2)",
  journal-URL =  "http://jlms.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Adler:1986:PSS,
  author =       "Irving Adler and A. A. Jagers and J. M. Borwein",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E2997}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "93",
  number =       "4",
  pages =        "304--304",
  month =        apr,
  year =         "1986",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2323694",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1540849",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Asic:1983:PSE}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1986:ECI,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "An explicit cubic iteration for $ \pi $",
  journal =      j-BIT,
  volume =       "26",
  number =       "1",
  pages =        "123--126",
  month =        mar,
  year =         "1986",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01939368",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "11Y60 (65D20)",
  MRnumber =     "833837, 87e:11144",
  MRreviewer =   "Duncan A. Buell",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=26&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1609/;
                 http://link.springer.com/article/10.1007/BF01939368;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=26&issue=1&spage=123",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  journal-URL =  "http://link.springer.com/journal/10543",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1986:FMT,
  author =       "J. M. Borwein and D. Zhuang",
  title =        "On {Fan}'s minimax theorem",
  journal =      j-MATH-PROG,
  volume =       "34",
  number =       "2",
  pages =        "232--234",
  year =         "1986",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01580587",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C30 (90C48)",
  MRnumber =     "838482",
  MRreviewer =   "Marco Gaviano",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1608/;
                 http://link.springer.com/article/10.1007/BF01580587",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1986:GDO,
  author =       "Jonathan M. Borwein",
  title =        "Generic differentiability of order-bounded convex
                 operators",
  journal =      j-J-AUSTRAL-MATH-SOC-SER-B,
  volume =       "28",
  number =       "1",
  pages =        "22--29",
  month =        jul,
  year =         "1986",
  CODEN =        "JAMMDU",
  DOI =          "https://doi.org/10.1017/S0334270000005166",
  ISSN =         "0334-2700",
  ISSN-L =       "0334-2700",
  MRclass =      "90C25 (46G05 90C48)",
  MRnumber =     "846780",
  MRreviewer =   "Christian Malivert",
  bibdate =      "Fri Sep 30 10:52:51 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/anziamj.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1607/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3973752;
                 https://www.cambridge.org/core/journals/anziam-journal/article/generic-differentiability-of-orderbounded-convex-oparators/EBC10922AB270DAAF5784308C7E3157A",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Austral Math. Soc. Ser. B",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the Australian Mathematical Society. Series
                 B, Applied Mathematics",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
  onlinedate =   "17 February 2009",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1986:LOC,
  author =       "J. M. Borwein and M. A. H. Dempster",
  title =        "The Linear Order Complementarity Problem",
  type =         "Report",
  number =       "DALTR 86-3",
  institution =  "Department of Mathematics, Statistics \& Computing
                 Science, Dalhousie University and Balliol College,
                 Oxford University",
  address =      "Halifax, NS, Canada and Oxford, England OX1 3BJ",
  pages =        "47",
  month =        jul,
  year =         "1986",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "The classical complementarity problem in Euclidean
                 space can be viewed alternatively as a variational
                 inequality or as a lattice orthogonality problem.
                 Generalizations of the former have been extensively
                 studied, but infinite dimensional analogues of the
                 latter have been largely ignored. Moreover, as we show,
                 many well known results about the classical
                 complementarity problem are more appropriately viewed
                 order-theoretically. This is particularly true of least
                 element solutions, which are central to the present
                 study of order complementarity in vector lattices.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "(P) operators; (Z) operators; Banach lattices;
                 complementarity problems; Least elements; order
                 complementarity",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Revision of August 1985 original.",
}

@Article{Borwein:1986:MQC,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "More quadratically converging algorithms for $ \pi $",
  journal =      j-MATH-COMPUT,
  volume =       "46",
  number =       "173",
  pages =        "247--253",
  month =        jan,
  year =         "1986",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2008229",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D20",
  MRnumber =     "815846, 87e:65014",
  MRreviewer =   "M. M. Chawla",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  URL =          "http://docserver.carma.newcastle.edu.au/1614/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  classcodes =   "B0290F (Interpolation and function approximation);
                 B0290Z (Other numerical methods); C4130 (Interpolation
                 and function approximation); C4190 (Other numerical
                 methods)",
  corpsource =   "Dalhousie Univ., Halifax, NS, Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "arithmetic--geometric mean iteration; complete
                 elliptic; convergence of numerical methods;
                 Gauss--Legendre iteration; geometry; integrals;
                 iterative; Legendre formula; methods; pi evaluation;
                 quadratically converging algorithms",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Borwein:1986:NAS,
  author =       "David Borwein and Jonathan M. Borwein",
  title =        "A Note on Alternating Series in Several Dimensions",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "93",
  number =       "7",
  pages =        "531--539",
  month =        aug # "\slash " # sep,
  year =         "1986",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2323026",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "40B05 (40A05)",
  MRnumber =     "856292, 87j:40008",
  MRreviewer =   "F. M{\'o}ricz",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1610/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1986:NDC,
  author =       "J. M. Borwein",
  title =        "Norm duality for convex processes and applications",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "48",
  number =       "1",
  pages =        "53--64",
  year =         "1986",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00938589",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C25 (46N05)",
  MRnumber =     "825384",
  MRreviewer =   "Lionel Thibault",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Fourth symposium on nonlinear programming with data
                 perturbations.",
  URL =          "http://docserver.carma.newcastle.edu.au/1613/;
                 http://link.springer.com/article/10.1007/BF00938589",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1986:PAB,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "Proximal analysis and boundaries of closed sets in
                 {Banach} space. {I}. {Theory}",
  journal =      j-CAN-J-MATH,
  volume =       "38",
  number =       "2",
  pages =        "431--452",
  year =         "1986",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1986-022-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "90C48 (46B10 49A50 58C20)",
  MRnumber =     "833578",
  MRreviewer =   "Bruce D. Craven",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1611/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1986:PMO,
  author =       "J. M. Borwein",
  title =        "Partially monotone operators and the generic
                 differentiability of convex-concave and biconvex
                 mappings",
  journal =      j-ISRAEL-J-MATH,
  volume =       "54",
  number =       "1",
  pages =        "42--50",
  year =         "1986",
  CODEN =        "ISJMAP",
  DOI =          "https://doi.org/10.1007/BF02764875",
  ISSN =         "0021-2172 (print), 1565-8511 (electronic)",
  ISSN-L =       "0021-2172",
  MRclass =      "90C48 (47H05 49A51 58C20)",
  MRnumber =     "852468",
  MRreviewer =   "Jean-Paul Penot",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1605/;
                 http://link.springer.com/article/10.1007/BF02764875",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Israel Journal of Mathematics",
  journal-URL =  "http://link.springer.com/journal/11856",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1986:PSS,
  author =       "Jon Borwein and William A. Newcomb",
  title =        "Problems and Solutions: Solutions of Advanced
                 Problems: 6491",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "93",
  number =       "10",
  pages =        "822--823",
  year =         "1986",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322952",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541009",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1986:SCQ,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "A simple constraint qualification in
                 infinite-dimensional programming",
  journal =      j-MATH-PROG,
  volume =       "35",
  number =       "1",
  pages =        "83--96",
  year =         "1986",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01589443",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C48",
  MRnumber =     "842636",
  MRreviewer =   "W. W. Breckner",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1606/;
                 http://link.springer.com/article/10.1007/BF01589443",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1986:SRP,
  author =       "J. M. Borwein",
  title =        "Stability and regular points of inequality systems",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "48",
  number =       "1",
  pages =        "9--52",
  year =         "1986",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00938588",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "58C20 (46N05 90C30 90C48)",
  MRnumber =     "825383",
  MRreviewer =   "Lionel Thibault",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Fourth symposium on nonlinear programming with data
                 perturbations.",
  URL =          "http://docserver.carma.newcastle.edu.au/1612/;
                 http://link.springer.com/article/10.1007/BF00938588",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1987:ACO,
  author =       "J. M. Borwein",
  title =        "Automatic continuity and openness of convex
                 relations",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "99",
  number =       "1",
  pages =        "49--55",
  month =        jan,
  year =         "1987",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2046269",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46A55 (47H99)",
  MRnumber =     "866428",
  MRreviewer =   "Robert T. Vescan",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1604/;
                 http://www.jstor.org/stable/2046269",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1987:CCM,
  author =       "J. M. Borwein",
  booktitle =    "{Recent Advances and Historical Development of Vector
                 Optimization}",
  title =        "Convex Cones, Minimality Notions, and Consequences",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "??--??",
  year =         "1987",
  DOI =          "https://doi.org/10.1007/978-3-642-46618-2_3",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://link.springer.com/chapter/10.1007/978-3-642-46618-2_3",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1987:CMN,
  author =       "J. M. Borwein",
  booktitle =    "Recent Advances and Historic Development of Vector
                 Optimization",
  title =        "Cones, minimality notions and consequences",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "62--85",
  year =         "1987",
  bibdate =      "Mon Aug 15 15:09:27 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1987:DRF,
  author =       "J. M. Borwein and S. P. Fitzpatrick and J. R. Giles",
  title =        "The differentiability of real functions on normed
                 linear space using generalized subgradients",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "128",
  number =       "2",
  pages =        "512--534",
  year =         "1987",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(87)90203-4",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "58C20 (26E15 46G05 49A52 90C48)",
  MRnumber =     "917385",
  MRreviewer =   "W. W. Breckner",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1598/;
                 http://www.sciencedirect.com/science/article/pii/0022247X87902034",
  abstract =     "The modification of the Clarke generalized
                 subdifferential due to Michel and Penot is a useful
                 tool in determining differentiability properties for
                 certain classes of real functions on a normed linear
                 space. The G{\^a}teaux differentiability of any real
                 function can be deduced from the G{\^a}teaux
                 differentiability of the norm if the function has a
                 directional derivative which attains a constant related
                 to its generalized directional derivative. For any
                 distance function on a space with uniformly G{\^a}teaux
                 differentiable norm, the Clarke and Michel-Penot
                 generalized subdifferentials at points off the set
                 reduce to the same object and this generates a
                 continuity characterization for G{\^a}teaux
                 differentiability. However, on a Banach space with
                 rotund dual, the Fr{\'e}chet differentiability of a
                 distance function implies that it is a convex function.
                 A mean value theorem for the modified generalized
                 subdifferential has implications for G{\^a}teaux
                 differentiability.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1987:EIE,
  author =       "J. M. Borwein and I. J. Zucker",
  title =        "Elliptic Integral Evaluation of the Gamma Function at
                 Values with Small Rational Denominators",
  type =         "Report",
  institution =  "Department of Mathematics, Statistics and Computing
                 Science, Dalhousie University and Department of
                 Physics, King's College",
  address =      "Halifax, NS B3H 3J5, Canada and London WC2, UK",
  pages =        "13",
  day =          "2",
  month =        sep,
  year =         "1987",
  bibdate =      "Fri Nov 11 06:50:29 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We produce simplified evaluations of certain complete
                 elliptic integrals in terms of Gamma and Beta
                 functions. We also provide explicit quadratically
                 convergent recursions for quantities including $ \Gamma
                 (n / 4) $ and $ \Gamma (n / 6) $.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1987:ELL,
  author =       "Jonathan Michael Borwein",
  title =        "Epi-{Lipschitz}-like sets in {Banach} space: theorems
                 and examples",
  journal =      j-NONLINEAR-ANAL,
  volume =       "11",
  number =       "10",
  pages =        "1207--1217",
  year =         "1987",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/0362-546X(87)90008-3",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "90C48 (46G99 58C20 90C25)",
  MRnumber =     "913679",
  MRreviewer =   "J. E. Spingarn",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1599/;
                 http://www.sciencedirect.com/science/article/pii/0362546X87900083",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "differential inclusions; epi-Lipschitz-like sets;
                 Lipschitz-like functions; locally compact subgradients;
                 non-support points; Nonsmooth analysis; normal cones",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1987:ERT,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Explicit {Ramanujan}-type approximations to pi of high
                 order",
  journal =      "Proceedings of the Indian Academy of Sciences ---
                 Mathematical Sciences",
  volume =       "97",
  number =       "1--3",
  pages =        "53--59",
  year =         "1987",
  DOI =          "https://doi.org/10.1007/BF02837813",
  ISSN =         "0253-4142 (print), 0973-7685 (electronic)",
  ISSN-L =       "0253-4142",
  MRclass =      "11Y60",
  MRnumber =     "983604",
  MRreviewer =   "D. H. Lehmer",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Centennial issue.",
  URL =          "http://link.springer.com/article/10.1007/BF02837813",
  acknowledgement = ack-nhfb,
  ajournal =     "Proc. Indian Acad. Sci. Math. Sci.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Indian Academy of Sciences. Proceedings. Mathematical
                 Sciences",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxyear =       "1988",
}

@TechReport{Borwein:1987:ESE,
  author =       "D. Borwein and J. M. Borwein and R. Shail and I. J.
                 Zucker",
  title =        "Energy of Static Electron Lattices",
  type =         "Report",
  institution =  "University of Western Ontario and Department of
                 Mathematics, Statistics and Computing Science,
                 Dalhousie University and University of Surrey and
                 University of Surrey",
  address =      "London, ON N6A 3K7, Canada and Halifax, NS B3H 3J5,
                 Canada and Guildford, UK GU2 5XH and Guildford, UK GU2
                 5XH",
  pages =        "20",
  day =          "11",
  month =        sep,
  year =         "1987",
  bibdate =      "Fri Nov 11 06:54:37 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "A new approach to evaluating the static lattice energy
                 of any given Wigner lattice is proposed. The method is
                 much simpler than the traditional one and the results
                 are much faster to evaluate. The new approach is
                 applied to two-dimensional triangular lattices where it
                 is shown that the triangular lattice is more stable
                 than the square lattice. Three dimensional hexagonal
                 lattices are also investigated. In addition, we have
                 placed many of our considerations on a rigorous
                 mathematical footing.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Date recorded in ambiguous form 11/9/87; entry
                 Borwein:1988:CCJ has 31/12/88, suggesting that the
                 first number is the day.",
}

@Article{Borwein:1987:PAB,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "Proximal analysis and boundaries of closed sets in
                 {Banach} space. {II}. {Applications}",
  journal =      j-CAN-J-MATH,
  volume =       "39",
  number =       "2",
  pages =        "428--472",
  year =         "1987",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1987-019-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "46B20 (41A65 90C48)",
  MRnumber =     "899844",
  MRreviewer =   "Bruce D. Craven",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1600/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Book{Borwein:1987:PAS,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "Pi and the {AGM}: a Study in Analytic Number Theory
                 and Computational Complexity",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xv + 414",
  year =         "1987",
  ISBN =         "0-471-83138-7, 0-471-31515-X (paperback)",
  ISBN-13 =      "978-0-471-83138-9, 978-0-471-31515-5 (paperback)",
  LCCN =         "QA241 .B774 1987",
  MRclass =      "11Y60 (68Q30)",
  MRnumber =     "877728",
  MRreviewer =   "H. London",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Canadian Mathematical Society series of monographs and
                 advanced texts = Monographies et {\'e}tudes de la
                 Soci{\'e}t{\'e} math{\'e}matique du Canada",
  abstract =     "Critical Acclaim for Pi and the AGM: ``Fortunately we
                 have the Borwein's beautiful book \ldots{} explores in
                 the first five chapters the glorious world so dear to
                 Ramanujan \ldots{} would be a marvelous text book for a
                 graduate course.'' --- Bulletin of the American
                 Mathematical Society \\
                 ``What am I to say about this quilt of a book? One is
                 reminded of Debussy who, on being asked by his harmony
                 teacher to explain what rules he was following as he
                 improvised at the piano, replied, ``Mon plaisir.'' The
                 authors are cultured mathematicians. They have selected
                 what has amused and intrigued them in the hope that it
                 will do the same for us. Frankly, I cannot think of a
                 more provocative and generous recipe for writing a book
                 \ldots{} (it) is cleanly, even beautifully written, and
                 attractively printed and composed. The book is unique.
                 I cannot think of any other book in print which
                 contains more than a smidgen of the material these
                 authors have included. --- SIAM Review \\
                 ``If this subject begins to sound more interesting than
                 it did in the last newspaper article on 130 million
                 digits of Pi, I have partly succeeded. To succeed
                 completely I will have gotten you interested enough to
                 read the delightful and important book by the
                 Borweins.'' --- American Mathematical Monthly \\
                 ``The authors are to be commended for their careful
                 presentation of much of the content of Ramanujan's
                 famous paper, 'Modular Equations and Approximations to
                 Pi'. This material has not heretofore appeared in book
                 form. However, more importantly, Ramanujan provided no
                 proofs for many of the claims that he made, and so the
                 authors provided many of the missing details \ldots{}
                 The Borweins, indeed have helped us find the right
                 roads.'' --- Mathematics of Computation",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Chinese edition 1995.",
  subject =      "Number theory; Computational complexity; Elliptic
                 functions; Pi",
  tableofcontents = "Complete Elliptic Integrals and the
                 Arithmetic-Geometric Mean Iteration \\
                 Theta Functions and the Arithmetic-Geometric Mean
                 Iteration \\
                 Jacobi's Triple-Product and Some Number Theoretic
                 Applications \\
                 Higher Order Transformations \\
                 Modular Equations and Algebraic Approximations to $\pi$
                 \\
                 The Complexity of Algebraic Functions \\
                 Algorithms for the Elementary Functions \\
                 General Means and Iterations \\
                 Some Additional Applications \\
                 Other Approaches to the Elementary Functions \\
                 Pi \\
                 Bibliography \\
                 Symbol List \\
                 Index",
}

@Article{Borwein:1987:PNF,
  author =       "J. M. Borwein and J. R. Giles",
  title =        "The proximal normal formula in {Banach} space",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "302",
  number =       "1",
  pages =        "371--381",
  year =         "1987",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2000915",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "49A52 (46B20 46G05)",
  MRnumber =     "887515",
  MRreviewer =   "Gianfranco Bottaro",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1602/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1987:RRA,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "{Ramanujan}'s rational and algebraic series for $ 1 /
                 \pi $",
  journal =      "J. Indian Math. Soc. (N.S.)",
  volume =       "51",
  pages =        "147--160 (1988)",
  year =         "1987",
  CODEN =        "JIMTA2",
  ISSN =         "0019-5839",
  ISSN-L =       "0019-5839",
  MRclass =      "11Y60 (33A30)",
  MRnumber =     "988313",
  MRreviewer =   "Herman J. J. te Riele",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Ramanujan Centennial issue.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Journal of the Indian Mathematical Society. New
                 Series",
  journal-URL =  "http://www.indianmathsociety.org.in/jims.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1987:SVPa,
  author =       "Jonathan M. Borwein and David Preiss",
  title =        "A smooth variational principle with applications to
                 subdifferentiability and to differentiability of convex
                 functions",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "303",
  number =       "2",
  pages =        "517--527",
  month =        oct,
  year =         "1987",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2000681",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "49A27 (46B20 46G05 49A51 49A52 58C20 90C25 90C48)",
  MRnumber =     "902782",
  MRreviewer =   "B. Mordukhovich",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1597/;
                 http://www.jstor.org/stable/2000681",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "According to \cite{Thera:2016:HSH}, this paper is the
                 first published {\em smooth variational principle}.",
}

@Article{Borwein:1987:UPW,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Unsolved Problems: The Way of All Means",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "94",
  number =       "6",
  pages =        "519--522",
  month =        jun # "\slash " # jul,
  year =         "1987",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322842",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541118",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  URL =          "http://www.jstor.org/stable/2322842",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Schoenberg:1987:APS,
  author =       "I. J. Schoenberg and Peter B. Borwein",
  title =        "Advanced Problems and Solutions: Solutions: 6501",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "94",
  number =       "4",
  pages =        "390--390",
  month =        apr,
  year =         "1987",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2323115",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Schoenberg:1985:PSA}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Ward:1987:NCF,
  author =       "D. E. Ward and J. M. Borwein",
  title =        "Nonsmooth Calculus in Finite Dimensions",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "25",
  number =       "5",
  pages =        "1312--1340",
  month =        sep,
  year =         "1987",
  CODEN =        "SJCODC",
  DOI =          "https://doi.org/10.1137/0325072",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "58C20 (46G05 49A52 90C48)",
  MRnumber =     "905047, 88m:58011",
  MRreviewer =   "A. B. N{\'e}meth",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/25/5;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1601/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  journalabr =   "SIAM J Control Optim",
  onlinedate =   "September 1987",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Barzilai:1988:TPS,
  author =       "Jonathan Barzilai and Jonathan M. Borwein",
  title =        "Two-Point Step Size Gradient Methods",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "8",
  number =       "1",
  pages =        "141--148",
  year =         "1988",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/8.1.141",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65K05",
  MRnumber =     "967848, 90h:65113",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://docserver.carma.newcastle.edu.au/1596/1/barzilai-borwein-ocr.pdf;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "According to \cite{Thera:2016:HSH}, Google Scholar
                 says that this paper has been cited more than 1300
                 times [checked: 1378 times as of 02 January 2017].
                 Received 24 September 1986 and in revised form 14 April
                 1987.",
}

@Article{Ben-Tal:1988:DAM,
  author =       "A. Ben-Tal and J. M. Borwein and M. Teboulle",
  title =        "A dual approach to multidimensional {$ L_p $} spectral
                 estimation problems",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "26",
  number =       "4",
  pages =        "985--996",
  year =         "1988",
  CODEN =        "SJCODE",
  DOI =          "https://doi.org/10.1137/0326053",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "49A55 (42A05 49D29 90C25 94A11)",
  MRnumber =     "948654",
  MRreviewer =   "Krzysztof C. Kiwiel",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Book{Borowski:1988:DM,
  author =       "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein",
  title =        "Dictionary of mathematics",
  publisher =    pub-COLLINS,
  address =      pub-COLLINS:adr,
  pages =        "xi + 659",
  year =         "1988",
  ISBN =         "0-00-434347-6 (paperback)",
  ISBN-13 =      "978-0-00-434347-1 (paperback)",
  LCCN =         "QA5",
  bibdate =      "Mon Oct 23 07:36:34 MDT 2017",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "With contributions by J. F. Bowers.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject =      "Mathematics; Dictionaries",
}

@TechReport{Borwein:1988:CCJ,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A Cubic Counterpart of {Jacobi}'s Identity and the
                 {AGM}",
  type =         "Report",
  institution =  "Department of Mathematics, Statistics and Computing
                 Science, Dalhousie University",
  address =      "Halifax, NS B3H 3J5, Canada",
  pages =        "20",
  day =          "31",
  month =        dec,
  year =         "1988",
  bibdate =      "Fri Nov 11 07:03:04 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We produce cubic analogues of Jacobi's celebrated
                 theta function identity and of the
                 arithmetic--geometric mean iteration of Gauss and
                 Legendre. The iteration in question is $ a_{n + 1} =
                 (a_n + 2 b_n) / 3 $ and $ b_{n + 1} = \sqrt
                 [3]{b_n((a_n^2 + a_n b_n + b_n^2) / 3)} $. The limit of
                 this iteration is identified in terms of the
                 hypergeometric function $_2 F_1 (1 / 3, 2 / 3; 1;
                 \cdot)$ which supports a particularly simple cubic
                 transformation.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "$\pi$; arithmetic--geometric mean (AGM); cubic
                 transformations; generalised elliptic functions;
                 hypergeometric functions; mean iterations; theta
                 functions",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1988:CFF,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the Complexity of Familiar Functions and Numbers",
  journal =      j-SIAM-REVIEW,
  volume =       "30",
  number =       "4",
  pages =        "589--601",
  month =        dec,
  year =         "1988",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1030134",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "68Q25 (03D15 11Y16)",
  MRnumber =     "967961, 89k:68061",
  MRreviewer =   "Klaus W. Wagner",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 Compendex database;
                 http://epubs.siam.org/toc/siread/30/4;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1593/;
                 http://www.jstor.org/stable/2030559",
  abstract =     "This paper examines low-complexity approximations to
                 familiar functions and numbers. The intent is to
                 suggest that it is possible to base a taxonomy of such
                 functions and numbers on their computational
                 complexity. A central theme is that traditional methods
                 of approximation are often very far from optimal, while
                 good or optimal methods are often very far from
                 obvious. For most functions, provably optimal methods
                 are not known; however the gap between what is known
                 and what is possible is often small. A considerable
                 number of open problems are posed and a number of
                 related examples are presented.",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Halifax, NS, Can",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  bibno =        "58008",
  catcode =      "G.1.2; F.2.1; F.1.3",
  classification = "921",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; F.2.1 Numerical Algorithms and Problems;
                 F.1.3 Complexity Classes",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems;
                 Theory of Computation, COMPUTATION BY ABSTRACT DEVICES,
                 Complexity Classes",
  fjournal =     "SIAM Review. A Publication of the Society for
                 Industrial and Applied Mathematics",
  genterm =      "algorithms; theory; performance",
  guideno =      "1988-13907",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabbrev = "SIAM Rev.",
  journalabr =   "SIAM Rev",
  jrldate =      "Dec. 1988",
  keywords =     "Algebraic Approximation; Approximation Theory;
                 Computation of Digits; Familiar Functions; Low
                 Complexity Approximation; Mathematical Techniques;
                 Rational Approximation; Reduced Complexity
                 Approximation",
  onlinedate =   "December 1988",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1
                 COMPUTATION BY ABSTRACT DEVICES",
}

@Article{Borwein:1988:ESE,
  author =       "D. Borwein and J. M. Borwein and R. Shail and I. J.
                 Zucker",
  title =        "Energy of static electron lattices",
  journal =      j-J-PHYS-A,
  volume =       "21",
  number =       "7",
  pages =        "1519--1531",
  month =        apr,
  year =         "1988",
  CODEN =        "JPHAC5",
  DOI =          "https://doi.org/10.1088/0305-4470/21/7/015",
  ISSN =         "0305-4470 (print), 1361-6447 (electronic)",
  ISSN-L =       "0305-4470",
  MRclass =      "82A65 (81H99)",
  MRnumber =     "951042",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1988JPhA...21.1519B;
                 http://docserver.carma.newcastle.edu.au/1592/;
                 http://stacks.iop.org/0305-4470/21/1519;
                 http://stacks.iop.org/0305-4470/21/i=7/a=015",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Physics. A. Mathematical and General",
  journal-URL =  "http://iopscience.iop.org/1751-8121",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1988:MRT,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "More {Ramanujan}-type series for $ 1 / \pi $",
  crossref =     "Andrews:1988:RRP",
  pages =        "359--374",
  year =         "1988",
  MRclass =      "11Y60",
  MRnumber =     "938974",
  MRreviewer =   "Duncan A. Buell",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1988:RP,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "{Ramanujan} and {Pi}",
  journal =      j-SCI-AMER,
  volume =       "258",
  number =       "2",
  pages =        "112--117",
  month =        feb,
  year =         "1988",
  CODEN =        "SCAMAC",
  DOI =          "https://doi.org/10.1038/scientificamerican0288-112",
  ISSN =         "0036-8733 (print), 1946-7087 (electronic)",
  ISSN-L =       "0036-8733",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/sciam1980.bib",
  note =         "Japanese edition (April 1988), Russian edition (April
                 1988), German edition (May 1988). Reprinted in
                 \cite{Borwein:1991:RP,Borwein:1996:SRZ,Borwein:2001:RP,Bailey:2016:PNG}.",
  URL =          "http://docserver.carma.newcastle.edu.au/1379/;
                 http://www.nature.com/scientificamerican/journal/v258/n2/pdf/scientificamerican0288-112.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Scientific American",
  journal-URL =  "http://www.nature.com/scientificamerican",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxnewdata =    "1998.01.30",
}

@Article{Borwein:1988:VNS,
  author =       "J. M. Borwein and D. M. Zhuang",
  title =        "Verifiable necessary and sufficient conditions for
                 openness and regularity of set-valued and single-valued
                 maps",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "134",
  number =       "2",
  pages =        "441--459",
  year =         "1988",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(88)90034-0",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "90C48 (54C60 58C20 90C25)",
  MRnumber =     "961349",
  MRreviewer =   "Jean-Paul Penot",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1594/;
                 http://www.sciencedirect.com/science/article/pii/0022247X88900340",
  abstract =     "We provide several equivalences to the regularity of
                 closed set-valued maps around a point in general metric
                 settings. In particular, an easy to verify approximate
                 openness notion is shown equivalent to regularity. A
                 simple specialization of our theorem strengthens
                 Frankowska's novel ``open mapping principle.''",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Deutsch:1988:PSSa,
  author =       "Emeric Deutsch and Jonathan M. Borwein and Paul Cull
                 and G. Behrendt",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3159}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "95",
  number =       "6",
  pages =        "557--558",
  month =        jun # "\slash " # jul,
  year =         "1988",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322769",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541335",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Deutsch:1986:PSE}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1989:ACL,
  author =       "D. Borwein and J. M. Borwein and R. Shail",
  title =        "Analysis of certain lattice sums",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "143",
  number =       "1",
  pages =        "126--137",
  year =         "1989",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(89)90032-2",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "82A67 (11M99)",
  MRnumber =     "1019453",
  MRreviewer =   "A. K. Rajagopal",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1589/;
                 http://www.sciencedirect.com/science/article/pii/0022247X89900322",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1989:ARM,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Approximating $ \pi $ with {Ramanujan}'s modular
                 equations",
  journal =      j-ROCKY-MOUNTAIN-J-MATH,
  volume =       "19",
  number =       "1",
  pages =        "93--102",
  year =         "1989",
  CODEN =        "RMJMAE",
  DOI =          "https://doi.org/10.1216/RMJ-1989-19-1-93",
  ISSN =         "0035-7596 (print), 1945-3795 (electronic)",
  ISSN-L =       "0035-7596",
  MRclass =      "11Y35 (11F11 33E05)",
  MRnumber =     "1016163",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Constructive Function Theory---86 Conference
                 (Edmonton, AB, 1986).",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Rocky Mountain Journal of Mathematics",
  journal-URL =  "http://projecteuclid.org/euclid.rmjm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1989:ENP,
  author =       "Jonathan M. Borwein and Simon Fitzpatrick",
  title =        "Existence of nearest points in {Banach} spaces",
  journal =      j-CAN-J-MATH,
  volume =       "41",
  number =       "4",
  pages =        "702--720",
  year =         "1989",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1989-032-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "46B20",
  MRnumber =     "1012624",
  MRreviewer =   "Mari{\'a}n Fabian",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1582/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1989:HC,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "The hypertangent cone",
  journal =      j-NONLINEAR-ANAL,
  volume =       "13",
  number =       "2",
  pages =        "125--144",
  year =         "1989",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/0362-546X(89)90039-4",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "90C30 (47H99 49A52)",
  MRnumber =     "979036",
  MRreviewer =   "D{\cftil{o}} V{\u{a}}n Lu{\cprime}u",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1588/;
                 http://www.sciencedirect.com/science/article/pii/0362546X89900394",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "directional derivatives and subgradients;
                 directionally Lipschitzian functions; Discrete tangent
                 cone formulas; epi-Lipschitzian sets; inversion
                 theorems; mean value theorems",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1989:LBM,
  author =       "Jon Borwein and Simon Fitzpatrick",
  title =        "Local boundedness of monotone operators under minimal
                 hypotheses",
  journal =      j-BULL-AUSTRAL-MATH-SOC,
  volume =       "39",
  number =       "3",
  pages =        "439--441",
  year =         "1989",
  CODEN =        "ALNBAB",
  DOI =          "https://doi.org/10.1017/S000497270000335X",
  ISSN =         "0004-9727 (print), 1755-1633 (electronic)",
  ISSN-L =       "0004-9727",
  MRclass =      "47H05",
  MRnumber =     "995141",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1590/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Bulletin of the Australian Mathematical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1989:LOC,
  author =       "J. M. Borwein and M. A. H. Dempster",
  title =        "The linear order complementarity problem",
  journal =      j-MATH-OP-RES,
  volume =       "14",
  number =       "3",
  pages =        "534--558",
  year =         "1989",
  CODEN =        "MOREDQ",
  DOI =          "https://doi.org/10.1287/moor.14.3.534",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C33 (47H99 90C48)",
  MRnumber =     "1008428",
  MRreviewer =   "Morgan A. Hanson",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1585/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1989:MCK,
  author =       "Jonathan M. Borwein and Simon Fitzpatrick",
  title =        "{Mosco} convergence and the {Kadec} property",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "106",
  number =       "3",
  pages =        "843--851",
  year =         "1989",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2047444",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B20 (52A05 54C60)",
  MRnumber =     "969313",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1584/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1989:MI,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the Mean Iteration $ (a, b) \leftarrow \big (\frac
                 {a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $",
  journal =      j-MATH-COMPUT,
  volume =       "53",
  number =       "187",
  pages =        "311--326",
  month =        jul,
  year =         "1989",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2008364",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "30D05 (33A25)",
  MRnumber =     "968148, 90a:30075",
  MRreviewer =   "Carl C. Cowen",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  URL =          "http://docserver.carma.newcastle.edu.au/1586/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math. Stat. and Comput. Sci., Dalhousie
                 Univ., Halifax, NS, Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "computation; convergence of numerical methods;
                 converging process; iterative methods; iterative
                 process; limit; mean iteration; nontrivial
                 identifications; quadratically; symbolic; uniformizing
                 parameters",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Borwein:1989:PEN,
  author =       "J. M. Borwein and P. B. Borwein and K. Dilcher",
  title =        "Pi, {Euler} numbers, and asymptotic expansions",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "96",
  number =       "8",
  pages =        "681--687",
  year =         "1989",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324715",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "40A25 (11Y60 65B15)",
  MRnumber =     "1019148",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1583/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1989:RME,
  author =       "J. M. Borwein and P. B. Borwein and D. H. Bailey",
  title =        "{Ramanujan}, modular equations, and approximations to
                 pi, or {How} to compute one billion digits of pi",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "96",
  number =       "3",
  pages =        "201--219",
  month =        mar,
  year =         "1989",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2325206",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "11Y60 (01A60 11F03 33A25)",
  MRnumber =     "991866",
  MRreviewer =   "Herman J. J. te Riele",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Reprinted in \cite{Bailey:1997:RME}.",
  URL =          "http://docserver.carma.newcastle.edu.au/1587/;
                 http://www.jstor.org/stable/2325206;
                 https://web.archive.org/web/20170328083101",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Beer:1990:MCR,
  author =       "Gerald Beer and Jonathan M. Borwein",
  title =        "{Mosco} convergence and reflexivity",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "109",
  number =       "2",
  pages =        "427--436",
  year =         "1990",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2048005",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B10 (46B20 49J45 54B20 90C25)",
  MRnumber =     "1012924",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1581/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1990:BRG,
  author =       "Jonathan Borwein",
  title =        "Book Review: {{\booktitle{Generalized Concavity}}
                 (Mordecai Avriel, Walter E. Diewert, Siegfried
                 Schaible, and Israel Zang)}",
  journal =      j-SIAM-REVIEW,
  volume =       "32",
  number =       "4",
  pages =        "689--690",
  month =        dec,
  year =         "1990",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1032140",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://epubs.siam.org/toc/siread/32/4;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "December 1990",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Book{Borwein:1990:DRN,
  author =       "Jonathan Borwein and Peter B. Borwein",
  title =        "A dictionary of real numbers",
  publisher =    pub-WADSWORTH,
  address =      pub-WADSWORTH:adr,
  pages =        "viii + 424",
  year =         "1990",
  DOI =          "https://doi.org/10.1007/978-1-4615-8510-7",
  ISBN =         "0-534-12840-8",
  ISBN-13 =      "978-0-534-12840-1",
  LCCN =         "QA47.B625 1990",
  MRclass =      "11-00 (11Y60 11Y70)",
  MRnumber =     "1030542, 91g:11001",
  MRreviewer =   "Jeffrey O. Shallit",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
  abstract =     "This dictionary was designed for researchers who have
                 encountered various numbers computationally and want to
                 know if these numbers have simple form. The book is
                 structured as a reverse handbook of special function
                 values. It lists over 100,000 eight digit real numbers
                 in the interval (1,0) that arise as the first eight
                 digits of special values of familiar functions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Maple",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  reviewer =     "Jeffrey O. Shallit",
}

@Article{Borwein:1990:RCM,
  author =       "J. M. Borwein and P. B. Borwein",
  booktitle =    "Computational methods and function theory
                 ({Valpara}{\'\i}so, 1989)",
  title =        "A remarkable cubic mean iteration",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1435",
  pages =        "27--31",
  year =         "1990",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0087894",
  ISBN =         "3-540-52768-0 (print), 3-540-47139-1 (e-book)",
  ISBN-13 =      "978-3-540-52768-8 (print), 978-3-540-47139-4
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "33C05",
  MRnumber =     "1071759 (92b:33003)",
  MRreviewer =   "W. H. J. Fuchs",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0087894/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  book-DOI =     "https://doi.org/10.1007/BFb0087892",
  book-URL =     "http://www.springerlink.com/content/978-3-540-47139-4",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1990:SDPa,
  author =       "J. M. Borwein",
  editor =       "Gustave Choquet and others",
  booktitle =    "S{\'e}minaire d'initiation {\`a} l'analyze",
  title =        "A survey of differentiability properties of convex,
                 {Lipschitz} and lsc functions",
  publisher =    "Publ. Math. Univ. Pierre et Marie Curie",
  address =      "Paris, France",
  pages =        "??--??",
  year =         "1990",
  DOI =          "",
  ISBN =         "",
  ISBN-13 =      "",
  LCCN =         "",
  bibdate =      "Mon Aug 15 15:02:04 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://carma.newcastle.edu.au/jon/Preprints/Books/CUP/CUPold/convsurvey.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "11",
  remark =       "The title in the PDF file is ``A Survey of Convex
                 Functions and Sequential Convergence'', with co-author
                 Jon D. Vanderwerff: is that a completely different
                 paper?",
}

@TechReport{Borwein:1990:SSH,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Strange Series and High Precision Fraud",
  type =         "Preliminary Report",
  institution =  "Department of Mathematics, Statistics and Computing
                 Science, Dalhousie University",
  address =      "Halifax, NS B3H 3J5, Canada",
  pages =        "28",
  day =          "4",
  month =        sep,
  year =         "1990",
  MRclass =      "11A99, 11A55 (primary), 65B10 (secondary)",
  bibdate =      "Fri Nov 11 07:05:53 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We present a variety of series some of which have
                 simple evaluations. Others appear to have simple
                 evaluations when computed to several hundred or even
                 several million digit precision, but are in fact
                 frauds. Many of these examples are based on series
                 whose terms involve digit sums and the integer part
                 function.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "approximation; continued fractions; digit series;
                 generating functions; high precision estimates; integer
                 parts; irrationality; Mahler's series; modular
                 transformations; transcendence",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Date recorded in ambiguous form 4/9/90; entry
                 Borwein:1988:CCJ has 31/12/88, suggesting that the
                 first number is the day.",
}

@Article{Knuth:1990:PSSa,
  author =       "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M.
                 Borwein and P. B. Borwein",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3335}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "97",
  number =       "10",
  pages =        "927",
  year =         "1990",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541809",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "2-8&origin=MSN;
                 http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Knuth:1990:PSSb,
  author =       "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M.
                 Borwein and P. B. Borwein",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3335}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "97",
  number =       "10",
  pages =        "927",
  year =         "1990",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541809",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "2-8&origin=MSN;
                 http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Knuth:1990:PSSc,
  author =       "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M.
                 Borwein and P. B. Borwein",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3335}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "97",
  number =       "10",
  pages =        "927--927",
  month =        dec,
  year =         "1990",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324339",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Rudin:1989:PSE}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Book{Borowski:1991:HDM,
  author =       "E. J. Borowski and J. M. Borwein",
  title =        "The {HarperCollins} dictionary of mathematics",
  publisher =    "HarperPerennial",
  address =      "New York, NY, USA",
  pages =        "xii + 659",
  year =         "1991",
  ISBN =         "0-06-461019-5, 0-00-434347-6 (paperback)",
  ISBN-13 =      "978-0-06-461019-3, 978-0-00-434347-1 (paperback)",
  LCCN =         "QA5 B67 1989",
  MRclass =      "00A20",
  MRnumber =     "1210061",
  MRreviewer =   "F. J. Papp",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "With the assistance of J. F. Bowers, A. Robertson and
                 M. McQuillan, Revised reprint of the 1988 original
                 \cite{Borowski:1988:DM}.",
  URL =          "http://docserver.carma.newcastle.edu.au/1738/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Translations: Chinese (1995), Indonesian (Erlanga
                 Penerbit, 1995), Italian (Gremese Editore) 1995, Arabic
                 (Academia International) 1991",
}

@Article{Borwein:1991:CBE,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Convergence of best entropy estimates",
  journal =      j-SIAM-J-OPT,
  volume =       "1",
  number =       "2",
  pages =        "191--205",
  year =         "1991",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/0801014",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "41A46 (28A20 28D20)",
  MRnumber =     "1098426",
  MRreviewer =   "Tiberiu Constantinescu",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1576/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1991:CCJ,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A cubic counterpart of {Jacobi}'s identity and the
                 {AGM}",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "323",
  number =       "2",
  pages =        "691--701",
  month =        feb,
  year =         "1991",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2001551",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "33C75 (11F11 11Y60 33C05)",
  MRnumber =     "1010408",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1578/;
                 http://www.jstor.org/stable/2001551",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1991:CMP,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "On the convergence of moment problems",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "325",
  number =       "1",
  pages =        "249--271",
  month =        may,
  year =         "1991",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2001670",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "44A60 (90C90)",
  MRnumber =     "1008695",
  MRreviewer =   "Tiberiu Constantinescu",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1579/;
                 http://www.jstor.org/stable/2001670",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1991:DPC,
  author =       "Jonathan M. Borwein",
  booktitle =    "S{\'e}minaire d'Initiation {\`a} l'Analyse",
  title =        "Differentiability properties of convex, of
                 {Lipschitz}, and of semicontinuous mappings on {Banach}
                 spaces",
  volume =       "104(19)",
  publisher =    "Universit{\'e} de Paris VI",
  address =      "Paris, France",
  pages =        "1--11",
  year =         "1991",
  MRclass =      "46G05 (26E15 46B20 46N10 49J50 58C20)",
  MRnumber =     "1217320",
  MRreviewer =   "Saheb Dayal",
  bibdate =      "Fri Oct 13 14:59:36 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Publ. Math. Univ. Pierre et Marie Curie",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1991:DRE,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Duality relationships for entropy-like minimization
                 problems",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "29",
  number =       "2",
  pages =        "325--338",
  year =         "1991",
  CODEN =        "SJCODE",
  DOI =          "https://doi.org/10.1137/0329017",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "49N15 (90C29 90C48)",
  MRnumber =     "1092730",
  MRreviewer =   "C. P. Ortlieb",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1577/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1991:FPI,
  author =       "David Borwein and Jonathan Borwein",
  title =        "Fixed point iterations for real functions",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "157",
  number =       "1",
  pages =        "112--126",
  year =         "1991",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(91)90139-Q",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "65H05 (39B12)",
  MRnumber =     "1109446",
  MRreviewer =   "Joe Thrash",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0022247X9190139Q",
  abstract =     "We give proofs of general results on the computation
                 of fixed points of a continuous function or a Lipschitz
                 function on the real line. We also show how completely
                 these results can fail to hold in spaces of more than
                 one dimension.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1991:MCS,
  author =       "J. M. Borwein",
  editor =       "Michael A. Th{\'e}ra and Jean-Bernard Baillon",
  booktitle =    "Fixed point theory and applications: proceedings of
                 the {International Conference on Fixed Point Theory and
                 Applications, held at CIRM (Centre International de
                 Rencontres Math{\'e}matiques) located in the campus of
                 the University of Marseille-Luminy, June 5--9, 1989}",
  title =        "Minimal {CUSCOS} and subgradients of {Lipschitz}
                 functions",
  volume =       "252",
  publisher =    pub-LONGMAN,
  address =      pub-LONGMAN:adr,
  pages =        "57--81",
  year =         "1991",
  ISBN =         "0-582-08063-0 (Harlow), 0-470-21759-6 (New York)",
  ISBN-13 =      "978-0-582-08063-8 (Harlow), 978-0-470-21759-7 (New
                 York)",
  LCCN =         "QA329.9 .F58 1991",
  MRclass =      "46G05 (47H04 49J52)",
  MRnumber =     "1122818",
  MRreviewer =   "Doug Ward",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Pitman Res. Notes Math. Ser.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1991:MCU,
  author =       "Jonathan Borwein and Simon Fitzpatrick and Petar
                 Kenderov",
  title =        "Minimal convex uscos and monotone operators on small
                 sets",
  journal =      j-CAN-J-MATH,
  volume =       "43",
  number =       "3",
  pages =        "461--476",
  year =         "1991",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1991-028-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "46G05 (47H05 54C99)",
  MRnumber =     "1118004",
  MRreviewer =   "Doug Ward",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1573/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1991:NR,
  author =       "Jonathan M. Borwein and G. de Barra",
  title =        "Nested radicals",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "98",
  number =       "8",
  pages =        "735--739",
  year =         "1991",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324426",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "11A99 (11Y55 39A10 40A05)",
  MRnumber =     "1130684",
  MRreviewer =   "Heinrich Rolletschek",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1580/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1991:PCF,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  editor =       "J-B. Baillon and M. Th{\'e}ra",
  booktitle =    "Fixed point theory and applications ({Marseille},
                 1989)",
  title =        "Practical conditions for {Fenchel} duality in infinite
                 dimensions",
  volume =       "252",
  publisher =    pub-LONGMAN,
  address =      pub-LONGMAN:adr,
  pages =        "83--89",
  year =         "1991",
  MRclass =      "49N15 (46G99 90C45 90C48)",
  MRnumber =     "1122819",
  MRreviewer =   "Blagun Kalchev",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Pitman Lecture Notes in Mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxseries =     "Pitman Res. Notes Math. Ser.",
}

@InCollection{Borwein:1991:RP,
  author =       "Jonathan M. Borwein",
  title =        "{Ramanujan} and {Pi}",
  crossref =     "Ferris:1991:WTP",
  pages =        "647--659",
  year =         "1991",
  bibdate =      "Fri Aug 12 15:11:12 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1379/;
                 https://web.archive.org/web/20170227063951/",
  abstract =     "This contribution highlights the progress made
                 regarding Ramanujan's work on Pi since the centennial
                 of his birth in 1987.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxauthor =     "Jonathan M. Borwein and Peter B. Borwein",
}

@Article{Borwein:1991:SEC,
  author =       "J. M. Borwein and D. M. Zhuang",
  title =        "Super efficiency in convex vector optimization",
  journal =      j-Z-OPER-RES,
  volume =       "35",
  number =       "3",
  pages =        "175--184",
  year =         "1991",
  CODEN =        "ZMMRFZ",
  DOI =          "https://doi.org/10.1007/BF01415905",
  ISSN =         "0340-9422",
  MRclass =      "90C29",
  MRnumber =     "1114290",
  MRreviewer =   "Emil Iwanow",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://link.springer.com/article/10.1007/BF01415905",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Oper. Res.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Zeitschrift f{\"u}r Operations Research. Mathematical
                 Methods of Operations Research",
  journal-URL =  "http://link.springer.com/journal/186",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1991:SGB,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A singular genius: [book review] {{\booktitle{The Man
                 Who Knew Infinity. A Life of the Indian Genius
                 Ramanujan}}. Robert Kanigel, Scribner, New York, 1991.
                 x + 438 pp. + plates, \$27.95}",
  journal =      j-SCIENCE,
  volume =       "253",
  number =       "5017",
  pages =        "334--335",
  day =          "19",
  month =        jul,
  year =         "1991",
  CODEN =        "SCIEAS",
  DOI =          "https://doi.org/10.1126/science.253.5017.334",
  ISSN =         "0036-8075 (print), 1095-9203 (electronic)",
  ISSN-L =       "0036-8075",
  bibdate =      "Wed Aug 10 18:35:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.jstor.org/stable/2879085;
                 http://www.ncbi.nlm.nih.gov/pubmed/17794700",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Science (New York, NY)",
  journal-URL =  "http://www.sciencemag.org/archive/",
  onlinedate =   "19 July 1991",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  publisherinfo = "17794700 ER",
}

@Article{Borwein:1992:ASW,
  author =       "Jonathan Borwein and Shi Tuo Lou",
  title =        "Asymptotics of a sequence of {Witt} vectors",
  journal =      j-J-APPROX-THEORY,
  volume =       "69",
  number =       "3",
  pages =        "326--337",
  year =         "1992",
  CODEN =        "JAXTAZ",
  DOI =          "https://doi.org/10.1016/0021-9045(92)90006-A",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "05A16 (05E05 05E10 13K05)",
  MRnumber =     "1164995",
  MRreviewer =   "Jiang Zeng",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1565/;
                 http://www.sciencedirect.com/science/article/pii/002190459290006A",
  abstract =     "We provide asymptotic and order information about the
                 Witt vectors and integers dn appearing in \prod n\le
                 111 + dn(tnn|)=(1-t)et.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:BRS,
  author =       "Jonathan Borwein",
  title =        "Book Review: {{\booktitle{Set-valued analysis}}, J-P.
                 Aubin and H. Frankowska}",
  journal =      j-BULL-AMS-N-S,
  volume =       "26",
  number =       "1",
  pages =        "157--160",
  year =         "1992",
  CODEN =        "BAMOAD",
  DOI =          "https://doi.org/10.1090/S0273-0979-1992-00246-X",
  ISSN =         "0273-0979 (print), 1088-9485 (electronic)",
  ISSN-L =       "0273-0979",
  MRnumber =     "1567970",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Society. Bulletin. New Series",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:DMF,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Decomposition of multivariate functions",
  journal =      j-CAN-J-MATH,
  volume =       "44",
  number =       "3",
  pages =        "463--482",
  year =         "1992",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1992-030-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "54C05 (05C38 08A45 22C05 26B40 28A20)",
  MRnumber =     "1176365",
  MRreviewer =   "Douglass L. Grant",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1569/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:FEG,
  author =       "J. M. Borwein and I. J. Zucker",
  title =        "Fast evaluation of the gamma function for small
                 rational fractions using complete elliptic integrals of
                 the first kind",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "12",
  number =       "4",
  pages =        "519--526",
  year =         "1992",
  CODEN =        "IJNADN",
  DOI =          "https://doi.org/10.1093/imanum/12.4.519",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65D20",
  MRnumber =     "1186733",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:KMI,
  author =       "Jonathan Borwein and Simeon Reich and Itai Shafrir",
  title =        "{Krasnosel'ski--Mann} iterations in normed spaces",
  journal =      j-CAN-MATH-BULL,
  volume =       "35",
  number =       "1",
  pages =        "21--28",
  year =         "1992",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1992-003-0",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "47H09 (47H10 47H17)",
  MRnumber =     "1157459",
  MRreviewer =   "Gregory B. Passty",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:MHP,
  author =       "Jonathan M. Borwein and Mark A. Limber",
  title =        "{Maple} as a High Precision Calculator",
  journal =      j-MAPLE-TECH-NEWS,
  volume =       "0",
  number =       "8",
  pages =        "39--44",
  month =        "Fall",
  year =         "1992",
  ISSN =         "1061-5733",
  ISSN-L =       "1061-5733",
  bibdate =      "Fri May 09 22:33:19 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-tech.bib",
  URL =          "http://www.can.nl/Systems_and_Packages/Per_Purpose/General/Maple/mtn/mtn8.html",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Maple technical newsletter",
  journal-URL =  "http://web.mit.edu/maple/www/plibrary/mtn.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:PFCa,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Partially finite convex programming. {I}. {Quasi}
                 relative interiors and duality theory",
  journal =      j-MATH-PROG,
  volume =       "57",
  number =       "1--3",
  pages =        "15--48",
  year =         "1992",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01581072",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C48 (49J15 65K05 90C25)",
  MRnumber =     "1167406",
  MRreviewer =   "M. Teboulle",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1571/;
                 http://link.springer.com/article/10.1007/BF01581072",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:PFCb,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Partially finite convex programming, {Part II}:
                 Explicit lattice models",
  journal =      j-MATH-PROG,
  volume =       "57",
  number =       "1--3",
  pages =        "49--83",
  year =         "1992",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01581073",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C48 (49N15 65K05 90C25)",
  MRnumber =     "1167407",
  MRreviewer =   "M. Teboulle",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1572/;
                 http://link.springer.com/article/10.1007/BF01581073",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1992:SDP,
  author =       "J. M. Borwein",
  title =        "Differentiability properties of convex, of
                 {Lipschitz}, and of semicontinuous mappings on {Banach}
                 spaces",
  crossref =     "Ioffe:1992:ONA",
  pages =        "39--52",
  year =         "1992",
  ISBN =         "0-582-08065-7 (paperback), 0-470-21943-2",
  ISBN-13 =      "978-0-582-08065-2 (paperback), 978-0-470-21943-0",
  ISSN =         "0269-3674",
  ISSN-L =       "0269-3674",
  LCCN =         "QA402.5 .O6424 1991",
  MRclass =      "49J50 (46B20 46G05 47H99)",
  MRnumber =     "1184630",
  MRreviewer =   "Julian Revalski",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Pitman research notes in mathematics series",
  URL =          "",
  ZMnumber =     "0745.00050",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxtitle =      "A survey of differentiability properties of convex,
                 {Lipschitz} and lsc functions",
}

@InCollection{Borwein:1992:SEC,
  author =       "J. M. Borwein and A. {Ben Tal} and M. Teboulle",
  title =        "Spectral estimation via convex programming",
  crossref =     "Phillips:1992:SMS",
  pages =        "275--290",
  year =         "1992",
  bibdate =      "Mon Aug 15 14:57:23 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:SOC,
  author =       "Jonathan Borwein and Peter B. Borwein",
  title =        "Some Observations on Computer Aided Analysis",
  journal =      j-NAMS,
  volume =       "39",
  number =       "8",
  pages =        "825--829",
  month =        oct,
  year =         "1992",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  URL =          "http://www.ams.org/journals/notices/199210/199210FullIssue.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:SSH,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Strange Series and High Precision Fraud",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "99",
  number =       "7",
  pages =        "622--640",
  month =        aug # "\slash " # sep,
  year =         "1992",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324993",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "40-01 (40A05 40A25)",
  MRnumber =     "1176589, 93f:40001",
  MRreviewer =   "John A. Fridy",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1992:STS,
  author =       "J. M. Borwein and M. Th{\'e}ra",
  title =        "Sandwich theorems for semicontinuous operators",
  journal =      j-CAN-MATH-BULL,
  volume =       "35",
  number =       "4",
  pages =        "463--474",
  year =         "1992",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1992-061-7",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "54C08 (46A99 54C60 54C65 54F05)",
  MRnumber =     "1191505",
  MRreviewer =   "P. Maritz",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Cook:1992:PSS,
  author =       "Matthew Cook and Walther Janous and Marcin E. Kuczma
                 and David Borwein",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3388}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "99",
  number =       "1",
  pages =        "69--70",
  month =        jan,
  year =         "1992",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324561",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
  note =         "See also \cite{Sturm:1990:PSE}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Bailey:1993:EEE,
  author =       "David H. Bailey and Jonathan M. Borwein and Roland
                 Girgensohn",
  title =        "Experimental evaluation of {Euler} sums",
  type =         "Technical Report",
  number =       "RNR-93-014",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "24",
  day =          "20",
  month =        oct,
  year =         "1993",
  bibdate =      "Thu Sep 01 13:58:44 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/60",
  abstract =     "In response to a letter from Goldbach, Euler
                 considered sums of the form\par

                  $$ \sum_{k = 1}^\infty \big (1 + \frac {1}{2^m} +
                 \cdots + \frac {1}{k^m} \big) (k + 1)^{-n} $$ \par

                 for positive integers $m$ and $n$. Euler was able to
                 give explicit values for certain of these sums in terms
                 of the Riemann zeta function. In a recent companion
                 paper, Euler's results were extended to a significantly
                 larger class of sums of this type, including sums with
                 alternating signs.\par

                 This research was facilitated by numerical computations
                 using an algorithm that can determine, with high
                 confidence, whether or not a particular numerical value
                 can be expressed as a rational linear combination of
                 several given constants. The present paper presents the
                 numerical techniques used in these computations and
                 lists many of the experimental results that have been
                 obtained.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Bauschke:1993:CNA,
  author =       "H. H. Bauschke and J. M. Borwein",
  title =        "On the convergence of {von Neumann}'s alternating
                 projection algorithm for two sets",
  journal =      j-SET-VALUED-ANAL,
  volume =       "1",
  number =       "2",
  pages =        "185--212",
  year =         "1993",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1007/BF01027691",
  ISSN =         "0927-6947 (print), 1572-932X (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "65J05 (41A65 47H17 65K10)",
  MRnumber =     "1239403",
  MRreviewer =   "F. Deutsch",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1555/;
                 http://link.springer.com/article/10.1007/BF01027691",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Beer:1993:MSC,
  author =       "Gerald Beer and Jonathan M. Borwein",
  title =        "{Mosco} and Slice Convergence of Level Sets and Graphs
                 of Linear Functionals",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "175",
  number =       "1",
  pages =        "53--67",
  year =         "1993",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1006/jmaa.1993.1151",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "46B99 (46N10 49J45 54A20)",
  MRnumber =     "1216744",
  MRreviewer =   "Constantin Z{\u{a}}linescu",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1562/;
                 http://www.sciencedirect.com/science/article/pii/S0022247X83711510",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Unpublished{Borwein:1993:ASS,
  author =       "J. M. Borwein",
  title =        "{Asplund} spaces are sequentially reflexive",
  year =         "1993",
  bibdate =      "Fri Aug 12 14:17:01 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Accepted for publication in the Canadian Journal of
                 Mathematics, but withdrawn and merged with another
                 paper. Jon Borwein recorded that as publication number
                 121, but because the article numbers changed with each
                 update of his CV, that number has long been
                 incorrect.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Research Report CORR 91-14.",
}

@Article{Borwein:1993:CDS,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Convergence of decreasing sequences of convex sets in
                 nonreflexive {Banach} spaces",
  journal =      j-SET-VALUED-ANAL,
  volume =       "1",
  number =       "4",
  pages =        "355--363",
  year =         "1993",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1007/BF01027825",
  ISSN =         "0927-6947 (print), 1572-932x (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "49J45 (46N10)",
  MRnumber =     "1267202",
  MRreviewer =   "Roberto Lucchetti",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1551/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Unpublished{Borwein:1993:CEU,
  author =       "J. M. Borwein and R. K. Goodrich and M. A. Limber",
  title =        "A comparison of entropies in the underdetermined
                 moment problem",
  month =        may,
  year =         "1993",
  bibdate =      "Tue Aug 16 10:06:18 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Preprint.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:CFH,
  author =       "J. M. Borwein and M. Fabi{\'a}n",
  title =        "On convex functions having points of {G{\^a}teaux}
                 differentiability which are not points of {Fr}{\'e}chet
                 differentiability",
  journal =      j-CAN-J-MATH,
  volume =       "45",
  number =       "6",
  pages =        "1121--1134",
  year =         "1993",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1993-062-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "46B20 (46B03)",
  MRnumber =     "1247537",
  MRreviewer =   "Gilles Godefroy",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1552/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:CNT,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Class number three {Ramanujan} type series for $ 1 /
                 \pi $",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "46",
  number =       "1--2",
  pages =        "281--290",
  day =          "14",
  month =        jun,
  year =         "1993",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(93)90302-R",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "11Y60 (11R11)",
  MRnumber =     "1222488",
  MRreviewer =   "Andrew Granville",
  bibdate =      "Sat Feb 25 12:20:57 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
  note =         "Computational complex analysis.",
  URL =          "http://docserver.carma.newcastle.edu.au/1560/;
                 http://www.sciencedirect.com/science/article/pii/037704279390302R",
  abstract =     "There is a class of remarkable series for $ 1 / \pi $
                 of the form $ \sqrt {-C^3} / \pi = \sum_{n = 0}^\infty
                 \frac {A + n B}{C^{3 n}} \frac {(6n)!}{(3n)!(n!)^3} $
                 where $A$, $B$, $C$ are certain algebraic numbers.
                 These were first examined by Ramanujan. These examples
                 arise by computing singular invariants for j and the
                 constants involved will have degree equal to the class
                 number of the associated imaginary quadratic field. Our
                 intention is compute all such class number three
                 examples. The largest such example, with discriminant $
                 - 907$, adds $ 37$ additional digit accuracy per term.
                 A class number four example with discriminant $ 1555$
                 gives $ 50$ digits per term.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  keywords =     "class number; pi; Ramanujan; series",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:DKK,
  author =       "J. M. Borwein and J. Vanderwerff",
  title =        "Dual {Kadec--Klee} norms and the relationships between
                 {Wijsman}, slice and {Mosco} convergence",
  journal =      "ArXiv Mathematics e-prints",
  month =        feb,
  year =         "1993",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1993math......2212B",
  abstract =     "In this paper, we completely settle several of the
                 open questions regarding the relationships between the
                 three most fundamental forms of set convergence. In
                 particular, it is shown that Wijsman and slice
                 convergence coincide precisely when the weak star and
                 norm topologies agree on the dual sphere. Consequently,
                 a weakly compactly generated Banach space admits a
                 dense set of norms for which Wijsman and slice
                 convergence coincide if and only if it is an Asplund
                 space. We also show that Wijsman convergence implies
                 Mosco convergence precisely when the weak star and
                 Mackey topologies coincide on the dual sphere. A
                 corollary of these results is that given a fixed norm
                 on an Asplund space, Wijsman and slice convergence
                 coincide if and only if Wijsman convergence implies
                 Mosco convergence.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "math/9302212",
  keywords =     "Mathematics - Functional Analysis, 46B",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1993:FAS,
  author =       "Jon Borwein and Jon Vanderwerff",
  title =        "Further arguments for slice convergence in
                 nonreflexive spaces",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "18",
  day =          "6",
  month =        nov,
  year =         "1993",
  MRclass =      "52A41 (40A30, 46A55, 46B20)",
  bibdate =      "Thu Sep 01 14:11:31 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/62",
  abstract =     "It is shown that no notion of set convergence at least
                 as strong as Wijsman convergence but not as strong as
                 slice convergence can be preserved in superspaces. We
                 also show that such intermediate notions of convergence
                 do not always admit representations analogous to those
                 given by Attouch and Beer for slice convergence, and
                 provide a valid reformulation. Some connections between
                 bornologies and the relationships between certain gap
                 convergences for nonconvex sets are also observed.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:FME,
  author =       "Jonathan M. Borwein",
  title =        "On the failure of maximum entropy reconstruction for
                 {Fredholm} equations and other infinite systems",
  journal =      j-MATH-PROG,
  volume =       "61",
  number =       "2, Ser. A",
  pages =        "251--261",
  year =         "1993",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01582150",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "94A12 (45B05 47N99 90C48)",
  MRnumber =     "1240460",
  MRreviewer =   "Henry Wolkowicz",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1559/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:GFI,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the generating function of the integer part: $ [n
                 \alpha + \gamma] $",
  journal =      j-J-NUMBER-THEORY,
  volume =       "43",
  number =       "3",
  pages =        "293--318",
  year =         "1993",
  CODEN =        "JNUTA9",
  DOI =          "https://doi.org/10.1006/jnth.1993.1023",
  ISSN =         "0022-314X (print), 1096-1658 (electronic)",
  ISSN-L =       "0022-314X",
  MRclass =      "11J70 (11J91)",
  MRnumber =     "1212686",
  MRreviewer =   "A. J. van der Poorten",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1564/;
                 http://www.sciencedirect.com/science/article/pii/S0022314X83710231",
  abstract =     "We show that [long displayed formula]. Here $ p_n $
                 and $ q_n $ are the numerators and denominators of the
                 convergents of the continued fraction expansion of $
                 \alpha $ and $ t^n $ and $ s^n $ are particular
                 algorithmically generated sequences of best
                 approximates for the non-homogeneous Diophantine
                 approximation problem of minimizing $ |n \alpha +
                 \gamma - m| $. This generalizes results of B{\"o}hmer
                 and Mahler, who considered the special case where $
                 \gamma = 0 $. This representation allows us to easily
                 derive various transcendence results. For example, $
                 \sum^\infty_{n = 1} [n e + 12] / (2 n) $ is a Liouville
                 number. Indeed the first series is Liouville for
                 rational $z$, $ w \subset [ - 1, 1]$ with $ |z w| \neq
                 1$ provided $ \alpha $ has unbounded continued fraction
                 expansion. A second application, which generalizes a
                 theorem originally due to Lord Raleigh, is to give a
                 new proof of a theorem of Fraenkel, namely $ [n \alpha
                 + \gamma]^\infty_{n = 1}$ and $ [n \alpha \prime +
                 \gamma \prime]^\infty_{n = 1}$ partition the
                 non-negative integers if and only if $ 1 / \alpha + 1 /
                 \alpha \prime = 1$ and $ \gamma / \alpha + \gamma
                 \prime / \alpha \prime = 0$ (provided some sign and
                 integer independence conditions are placed on $ \alpha
                 $, $ \beta $, $ \gamma $, $ \gamma \prime $). The
                 analysis which leads to the results is quite delicate
                 and rests heavily on a functional equation for $G$. For
                 this a natural generalization of the simple continued
                 fraction to Kronecker's forms $ |n \alpha + \gamma -
                 m|$ is required.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Number Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022314X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:GSO,
  author =       "J. M. Borwein and M. Fabi{\'a}n",
  title =        "On generic second-order {G{\^a}teaux}
                 differentiability",
  journal =      j-NONLINEAR-ANAL,
  volume =       "20",
  number =       "12",
  pages =        "1373--1382",
  year =         "1993",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/0362-546X(93)90166-P",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "46G05 (26E15 49J50 58C20)",
  MRnumber =     "1225345",
  MRreviewer =   "Marcin Studniarski",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1563/;
                 http://www.sciencedirect.com/science/article/pii/0362546X9390166P",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "residual space; second-order difference quotient;
                 Separable space; twice G{\^a}teaux differentiability",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Research Report CORR 91-18.",
}

@Article{Borwein:1993:HAA,
  author =       "J. Borwein and P. Borwein and F. Garvan",
  title =        "Hypergeometric analogues of the arithmetic--geometric
                 mean iteration",
  journal =      j-CONST-APPROX,
  volume =       "9",
  number =       "4",
  pages =        "509--523",
  year =         "1993",
  DOI =          "https://doi.org/10.1007/BF01204654",
  ISSN =         "0176-4276 (print), 1432-0940 (electronic)",
  ISSN-L =       "0176-4276",
  MRclass =      "33C05",
  MRnumber =     "1237931",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1556/;
                 http://link.springer.com/article/10.1007/BF01204654",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Constructive Approximation. An International Journal
                 for Approximations and Expansions",
  journal-URL =  "http://link.springer.com/journal/365",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:ICM,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "Inequalities for Compound Mean Iterations with
                 Logarithmic Asymptotes",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "177",
  number =       "2",
  pages =        "572--582",
  year =         "1993",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1006/jmaa.1993.1278",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "33B99",
  MRnumber =     "1231502",
  MRreviewer =   "P. Anandani",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1553/;
                 http://www.sciencedirect.com/science/article/pii/S0022247X83712783",
  abstract =     "We consider the compound means arising as limits from
                 the arithmetic--geometric mean iteration and related
                 iterations. Each of these iterations possesses a
                 logarithmic asymptote. We show that these limit means
                 satisfy very precise inequalities. These can be deduced
                 in a quite uniform fashion from a `comparison lemma'
                 for compound means.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:LLFa,
  author =       "J. M. Borwein and M. Fabian and J. Vanderwerff",
  title =        "Locally {Lipschitz} Functions and Bornological
                 Derivatives",
  journal =      "ArXiv Mathematics e-prints",
  pages =        "13",
  month =        feb,
  year =         "1993",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1993math......2211B;
                 http://docserver.carma.newcastle.edu.au/69/",
  abstract =     "We study the relationships between G{\^a}teaux, weak
                 Hadamard and Frechet differentiability and their
                 bornologies for Lipschitz and for convex functions. In
                 particular, Frechet and weak Hadamard differentiability
                 coincide for all Lipschitz functions if and only if the
                 space is reflexive (an earlier paper of the first two
                 authors shows that these two notions of
                 differentiability coincide for continuous convex
                 functions if and only if the space does not contain a
                 copy of $ \ell_1$). We also examine when G{\^a}teaux
                 and weak Hadamard differentiability coincide for
                 continuous convex functions. For instance, spaces with
                 the Dunford--Pettis (Schur) property can be
                 characterized by the coincidence of G{\^a}teaux and
                 weak Hadamard (Frechet) differentiability for dual
                 norms.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "math/9302211",
  keywords =     "Mathematics - Functional Analysis, 46B",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1993:LLFb,
  author =       "Jonathan M. Borwein and Marian Fabian and Jon
                 Vanderwerff",
  title =        "Locally {Lipschitz} functions and bornological
                 derivatives",
  type =         "CECM Research Report",
  number =       "93:012",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "13",
  day =          "15",
  month =        dec,
  year =         "1993",
  MRclass =      "46A17, 46G05, 58C20 (46B20)",
  bibdate =      "Tue Aug 16 10:06:43 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/69/",
  abstract =     "We study the relationships between Gateaux, Weak
                 Hadamard and Fr{\'e}chet differentiability and their
                 bornologies for Lipschitz and for convex functions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:MMB,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "Mathematical Malaises: Book Review: {{\booktitle{Pi in
                 the sky: counting, thinking and being}}, John D.
                 Barrow. Clarendon (Oxford University Press), New York,
                 1992. xii, 317 pp., illus. \$25}",
  journal =      j-SCIENCE,
  volume =       "259",
  number =       "5103",
  pages =        "1928--1930",
  day =          "26",
  month =        mar,
  year =         "1993",
  CODEN =        "SCIEAS",
  DOI =          "https://doi.org/10.1126/science.259.5103.1928.a",
  ISSN =         "0036-8075 (print), 1095-9203 (electronic)",
  ISSN-L =       "0036-8075",
  bibdate =      "Sat Sep 03 09:11:44 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.ncbi.nlm.nih.gov/pubmed/17836254;
                 https://www.science.org/doi/10.1126/science.259.5103.1928.a",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Science (New York, N.Y.)",
  journal-URL =  "http://www.sciencemag.org/archive/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  report-number = "Borwein, Jonathan/A-6082-2009",
  xxDOI =        "https://doi.org/10.1126/science.259.5103.1928",
}

@Article{Borwein:1993:PFP,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Partially-finite programming in {$ L_1 $} and the
                 existence of maximum entropy estimates",
  journal =      j-SIAM-J-OPT,
  volume =       "3",
  number =       "2",
  pages =        "248--267",
  year =         "1993",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/0803012",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C48 (49N15 65K05)",
  MRnumber =     "1215444",
  MRreviewer =   "M. Teboulle",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1558/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:PSPa,
  author =       "Jonathan M. Borwein",
  title =        "Problems and Solutions: Problems: 10281",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "100",
  number =       "1",
  pages =        "76--77",
  month =        jan,
  year =         "1993",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324828",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:PSPb,
  author =       "David Borwein and Jonathan Borwein",
  title =        "Problems and Solutions: Problems: 10335",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "100",
  number =       "8",
  pages =        "796--798",
  month =        oct,
  year =         "1993",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324793",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1993:SCR,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  editor =       "A. Mohammad-Djafari and G. Demoments",
  booktitle =    "Maximum entropy and {Bayesian} methods ({Paris},
                 1992)",
  title =        "A Survey of Convergence Results for Maximum Entropy
                 Methods",
  volume =       "53",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "39--48",
  year =         "1993",
  DOI =          "https://doi.org/10.1007/978-94-017-2217-9_5",
  MRclass =      "49J45 (41A30 42A10)",
  MRnumber =     "1269789",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Fund. Theories Phys.",
  URL =          "http://link.springer.com/chapter/10.1007/978-94-017-2217-9_5",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Research Report CORR 92-32.",
}

@Article{Borwein:1993:SEV,
  author =       "J. M. Borwein and D. Zhuang",
  title =        "Super efficiency in vector optimization",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "338",
  number =       "1",
  pages =        "105--122",
  year =         "1993",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2154446",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "90C29 (52A41)",
  MRnumber =     "1098432",
  MRreviewer =   "Bernard Lemaire",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1993:WHS,
  author =       "Jonathan M. Borwein and Simon Fitzpatrick",
  title =        "A weak {Hadamard} smooth renorming of {$ L_1 (\Omega,
                 \mu) $}",
  journal =      j-CAN-MATH-BULL,
  volume =       "36",
  number =       "4",
  pages =        "407--413",
  year =         "1993",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1993-055-5",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "46B25 (46B03 46B20 46E30)",
  MRnumber =     "1245313",
  MRreviewer =   "W. A. J. Luxemburg",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://cms.math.ca/10.4153/CMB-1993-055-5;
                 http://docserver.carma.newcastle.edu.au/1554/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1993:WSC,
  author =       "Jonathan Borwein and Simon Fitzpatrick",
  title =        "Weak sequential compactness and bornological limit
                 derivatives",
  type =         "Report",
  institution =  "Department of Mathematics and Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "10",
  day =          "7",
  month =        sep,
  year =         "1993",
  bibdate =      "Thu Sep 01 13:54:08 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/58/2/93_001-Borwein-Borwein-Girgensohn.pdf",
  abstract =     "In this note we give a self-contained account of the
                 relationship between the sequential and topological
                 constructions of bornological limit derivatives for
                 locally Lipschitzian real-valued functions on Banach
                 spaces.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Byerly:1993:PSP,
  author =       "Robert E. Byerly and Murray S. Klamkin and A. Liu and
                 Stephen M. {Gagola, Jr.} and L. E. Mattics and Raphael
                 M. Robinson and M. Al-Ahmar and Donald E. Knuth and
                 Jonathan M. Borwein",
  title =        "Problems and Solutions: Problems: 10274--10281",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "100",
  number =       "1",
  pages =        "75--77",
  year =         "1993",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324823",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1542259",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Hirschhorn:1993:CAJ,
  author =       "Michael Hirschhorn and Frank Garvan and Jon Borwein",
  title =        "Cubic analogues of the {Jacobian} theta function $
                 \theta (z, q) $",
  journal =      j-CAN-J-MATH,
  volume =       "45",
  number =       "4",
  pages =        "673--694",
  month =        "????",
  year =         "1993",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1993-038-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "33D10 (11F27)",
  MRnumber =     "1227653",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://cms.math.ca/cjm/v45/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1557/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Richter:1993:PSP,
  author =       "R. Bruce Richter and Josef Siran and Carl Pomerance
                 and Kiran S. Kedlaya and Michael Golomb and John Sarli
                 and David Borwein and Jonathan Borwein and Ignacy I.
                 Kotlarski and Horst Alzer",
  title =        "Problems and Solutions: Problems: 10330--10337",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "100",
  number =       "8",
  pages =        "796--798",
  year =         "1993",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324792",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1542408",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Bailey:1994:EEEb,
  author =       "David H. Bailey and Jonathan M. Borwein and Roland
                 Girgensohn",
  title =        "Experimental evaluation of {Euler} sums",
  journal =      j-EXP-MATH,
  volume =       "3",
  number =       "1",
  pages =        "17--30",
  year =         "1994",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/10586458.1994.10504573",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  MRclass =      "11Y60",
  MRnumber =     "1302815",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/expmath.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/60/;
                 http://projecteuclid.org/euclid.em/1062621000",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Bauschke:1994:DAP,
  author =       "H. H. Bauschke and J. M. Borwein",
  title =        "{Dykstra}'s alternating projection algorithm for two
                 sets",
  journal =      j-J-APPROX-THEORY,
  volume =       "79",
  number =       "3",
  pages =        "418--443",
  year =         "1994",
  CODEN =        "JAXTAZ",
  DOI =          "https://doi.org/10.1006/jath.1994.1136",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "41A65 (46N10 47N10)",
  MRnumber =     "1305442",
  MRreviewer =   "F. Deutsch",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1543/;
                 http://www.sciencedirect.com/science/article/pii/S0021904584711361",
  abstract =     "We analyze Dykstra's algorithm for two arbitrary
                 closed convex sets in a Hilbert space. Our technique
                 also applies to von Neumann's algorithm. Various
                 convergence results follow. An example allows one to
                 compare qualitative and quantitative behaviour of the
                 two algorithms. We discuss the case of finitely many
                 sets.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@TechReport{Bauschke:1994:MCP,
  author =       "H. H. Bauschke and J. M. Borwein and A. S. Lewis",
  title =        "On the method of cyclic projections for convex sets in
                 {Hilbert} space",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "51",
  day =          "10",
  month =        feb,
  year =         "1994",
  MRclass =      "47H09, 4OM45, 65-02, 65J05, 90C25 (26B25, 41A65,
                 46C99, 46N10, 47N10, 52A05, 52A41, 65F10, 65KO05,
                 90C90, 92C55)",
  bibdate =      "Thu Sep 01 14:51:27 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/77",
  abstract =     "The method of cyclic projections 1s a powerful tool
                 for solving convex feasibility problems in Hilbert
                 space. Although in many applications, in particular in
                 the field of image reconstruction (electron microscopy,
                 computed tomography), the convex constraint sets do not
                 necessarily intersect, the method of cyclic projections
                 is still employed. Results on the behaviour of the
                 algorithm for this general case are improved, unified,
                 and reviewed. The analysis relies on key concepts from
                 convex analysis and the theory of nonexpansive
                 mappings. The notion of the angle of a tuple of
                 subspaces is introduced. New linear convergence results
                 follow for the case when the constraint sets are closed
                 subspaces whose orthogonal complements have a closed
                 sum; this holds, in particular, for hyperplanes or in
                 Euclidean space.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "angle; computerized tomography; convex feasibility
                 problem; convex polyhedron; convex set; Fej{\'e}r
                 monotone sequence; Hilbert space; image reconstruction;
                 Kaczmarz s method; method of cyclic projections;
                 nearest point mapping; nonexpansive map",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1994:BSA,
  author =       "J. M. Borwein and J. D. Vanderwerff",
  title =        "{Banach} spaces that admit support sets",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "6",
  day =          "10",
  month =        jul,
  year =         "1994",
  bibdate =      "Thu Sep 01 15:46:06 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/87",
  abstract =     "It is shown that the existence of a closed convex set
                 all of whose points are properly supported in a Banach
                 space is equivalent to the existence of a certain type
                 of uncountable ordered one-sided biorthogonal system.
                 Under the continuum hypothesis, we deduce that this
                 notion is weaker than the existence of an uncountable
                 biorthogonal system.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1994:CCS,
  author =       "Jonathan Borwein and Simon Fitzpatrick",
  title =        "Characterization of {Clarke} subgradients among
                 one-dimensional multifunctions",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "14",
  day =          "2",
  month =        feb,
  year =         "1994",
  bibdate =      "Thu Sep 01 09:17:17 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1995:CCS}.",
  URL =          "http://docserver.carma.newcastle.edu.au/23/",
  abstract =     "We introduce the notions of an robustly lower
                 semicontinuous and an robustly upper semicontinuous
                 function of a real variable. The Clarke subgradients of
                 locally Lipschitz functions on an open interval $I$ are
                 shown to be exactly those multifunctions on $I$ of the
                 form $ [\alpha (x), \beta (x)]$ where $ \alpha $ is
                 robustly lower semicontinuous and $ \beta $ is robustly
                 upper semicontinuous on $I$. The approximate and
                 symmetric subgradients of locally Lipschitz functions
                 on $I$ are also characterized.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1994:CFS,
  author =       "Jon Borwein and Jon Vanderwerff",
  title =        "Convex Functions on ``Sequentially Reflexive''
                 {Banach} Spaces",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "11",
  day =          "14",
  month =        sep,
  year =         "1994",
  bibdate =      "Wed Aug 31 09:48:34 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/115/2/95_050-Borwein-Vanderwerff.pdf",
  abstract =     "There is a sizeable class of results precisely
                 relating boundedness, convergence and differentiability
                 properties of continuous convex functions on Banach
                 spaces to whether or not the space contains an
                 isomorphic copy of $ \ell_1 $. In this note, we provide
                 constructions showing that the main such results do not
                 extend to natural broader classes of functions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:CMI,
  author =       "Jonathan Borwein",
  title =        "A convergent mean iteration: a proof that {$ x_n
                 \coloneq M(x_{n - 1}, x_{n - 2}, \cdots, x_{n - k}) $}
                 converges",
  journal =      j-AEQUATIONES-MATHEMATICAE,
  volume =       "47",
  number =       "1",
  pages =        "115--118",
  year =         "1994",
  CODEN =        "AEMABN",
  DOI =          "https://doi.org/10.1007/BF01838145",
  ISSN =         "0001-9054 (print), 1420-8903 (electronic)",
  ISSN-L =       "0001-9054",
  MRclass =      "39B12",
  MRnumber =     "1251136",
  MRreviewer =   "Shigeru Haruki",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1541/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Aequationes Mathematicae",
  journal-URL =  "http://link.springer.com/journal/10",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:DKK,
  author =       "Jon Borwein and Jon Vanderwerff",
  title =        "Dual {Kadec--Klee} norms and the relationships between
                 {Wijsman}, slice, and {Mosco} convergence",
  journal =      j-MICH-MATH-J,
  volume =       "41",
  number =       "2",
  pages =        "371--387",
  year =         "1994",
  CODEN =        "MIMJA5",
  DOI =          "https://doi.org/10.1307/mmj/1029005003",
  ISSN =         "0026-2285 (print), 1945-2365 (electronic)",
  ISSN-L =       "0026-2285",
  MRclass =      "46B10 (46B20 46N10 49J45 54B20)",
  MRnumber =     "1278442",
  MRreviewer =   "Simon Fitzpatrick",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Michigan Mathematical Journal",
  journal-URL =  "https://projecteuclid.org/all/euclid.mmj",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxtitle =      "{Mosco}, {Wijsman} and slice convergence in
                 nonreflexive {Banach} spaces",
}

@Article{Borwein:1994:ECFc,
  author =       "Jon Borwein and Simon Fitzpatrick and Jon
                 Vanderwerff",
  title =        "Examples of convex functions and classifications of
                 normed spaces",
  journal =      j-J-CONVEX-ANAL,
  volume =       "1",
  number =       "1",
  pages =        "61--73",
  year =         "1994",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "46B20 (26B25 46B10 46N10 52A41)",
  MRnumber =     "1326942",
  MRreviewer =   "Roland Durier",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/64/;
                 http://www.heldermann-verlag.de/jca/jca01/jca01004.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1994:EEEa,
  author =       "David Borwein and Jonathan M. Borwein and Roland
                 Girgensohn",
  title =        "Explicit evaluation of {Euler} sums",
  type =         "Report",
  institution =  "Department of Mathematics and Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "21",
  day =          "18",
  month =        mar,
  year =         "1994",
  MRclass =      "40A25, 40B05 (11M99, 33E99)",
  bibdate =      "Thu Sep 01 11:00:10 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/58",
  abstract =     "In response to a letter from Goldbach, Euler
                 considered sums of the form\par

                  $$ \sigma_h(s, t) = \sum_{n = 1}^\infty \big (1 +
                 \frac {1}{2^s} + \cdots + \frac {1}{(n - 1)^s} \big)
                 n^{-t}, $$ \par

                 where $s$ and $t$ are positive integers.\par

                 As Euler discovered by a process of extrapolation (from
                 $ s + t \leq 13$), $ \sigma_h(s, t)$ can be evaluated
                 in terms of Riemann $ \zeta $-functions when $ s + t$
                 is odd. We provide a rigorous proof of Euler's
                 discovery and then give analogous evaluations with
                 proofs for corresponding alternating sums. Relatedly we
                 give a formula for the series\par $$ \sum_{n =
                 1}^\infty \big (1 + \frac {1}{2} + \cdots + \frac
                 {1}{n} \big)^2 (n + 1)^{-m} $$ \par

                 This evaluation involves $ \zeta $-functions and $
                 \sigma_h(2, m)$.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "beta function; generating functions; harmonic numbers;
                 polylogarithms; psi function; Riemann zeta function",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:EML,
  author =       "Jonathan M. Borwein and Adrian S. Lewis and Mark A.
                 Limber",
  title =        "Entropy Minimization with Lattice Bounds",
  journal =      j-J-APPROX-THEORY,
  volume =       "79",
  number =       "1",
  pages =        "1--16",
  year =         "1994",
  CODEN =        "JAXTAZ",
  DOI =          "https://doi.org/10.1006/jath.1994.1110",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "41A46 (41A29 90C48)",
  MRnumber =     "1294317",
  MRreviewer =   "Dominikus Noll",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1545/;
                 http://www.sciencedirect.com/science/article/pii/S0021904584711105",
  abstract =     "We characterize solutions to the problem of minimizing
                 a convex integral objective function subject to a
                 finite number of linear constraints and requiring that
                 the feasible functions lie in a strip $ [\alpha, \beta]
                 $ where $ \alpha $ and $ \beta $ are extended real
                 valued measurable functions. We use the duality theory
                 of J. M. Borwein and A. S. Lewis (Math. Programming,
                 Series \{B57\} (1992), 15-48, 49-84) to show that the
                 solutions are of the usual form, but truncated where
                 they leave the strip.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:EMPa,
  author =       "Jonathan M. Borwein and Adrian S. Lewis and Roger D.
                 Nussbaum",
  title =        "Entropy Minimization, {$ D A D $} Problems, and Doubly
                 Stochastic Kernels",
  journal =      j-J-FUNCT-ANAL,
  volume =       "123",
  number =       "2",
  pages =        "264--307",
  year =         "1994",
  CODEN =        "JFUAAW",
  DOI =          "https://doi.org/10.1006/jfan.1994.1089",
  ISSN =         "0022-1236 (print), 1096-0783 (electronic)",
  ISSN-L =       "0022-1236",
  MRclass =      "47N10 (47B99 47H15 49N15 90C30)",
  MRnumber =     "1283029",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1546/;
                 http://www.sciencedirect.com/science/article/pii/S0022123684710895",
  abstract =     "The classical $ D A D $ problem asks, for a square
                 matrix $A$ with nonnegative entries, when it is
                 possible to find positive diagonal matrices $ D_1$ and
                 $ D_2$ with $ D_1 A D_2$ doubly stochastic. We consider
                 various continuous and measurable generalizations of
                 this problem. Through a fusion of variational and fixed
                 point techniques we obtain strong analogues of the
                 classical results. Our extensions appear inaccessible
                 by either technique separately.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Functional Analysis",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00221236",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:FAS,
  author =       "Jon Borwein and Jon Vanderwerff",
  title =        "Further arguments for slice convergence in
                 nonreflexive spaces",
  journal =      j-SET-VALUED-ANAL,
  volume =       "2",
  number =       "4",
  pages =        "529--544",
  year =         "1994",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1007/BF01033070",
  ISSN =         "0927-6947 (print), 1572-932x (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "49J45 (46N10 54B20)",
  MRnumber =     "1308483",
  MRreviewer =   "Gerald Beer",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/62/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1994:FEDa,
  author =       "Jonathan M. Borwein and Roland Girgensohn",
  title =        "Functional equations and distribution functions",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "10",
  day =          "15",
  month =        jul,
  year =         "1994",
  bibdate =      "Thu Sep 01 15:54:10 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Dedicated to Professor J{\'a}nos Acz{\'e}l's on the
                 occasion of his 70th birthday.",
  URL =          "http://docserver.carma.newcastle.edu.au/90",
  abstract =     "Wee consider the functional equation\par

                  $$ f(t) = \frac {1}{b} \sum_{\nu = 0}^{b - 1} f \big
                 (\frac {t - \beta_nu}{a} \big) \mbox {for all $ t \in
                 \mathbb{R}$ }, \qquad (F) $$ \par

                 where $ 0 < a < 1 $ , $ b \in \mathbb {N} \backslash \{
                 1 \} $ and $ - 1 = \beta_0 \leq \beta_1 \leq \beta_2
                 \leq \cdots \leq \beta_{p - 1} = 1 $ are given
                 parameters, $ f \color \mathbb {R} \to \mathbb {R} $ is
                 the unknown. We show that there is a unique bounded
                 function $f$ which solves (F) and satisfies $ f(t) = 0$
                 for $ t < - 1 / (1 - a)$, $ f(t) = 1$ for $ t > 1 / (1
                 - a)$. This solution can be interpreted as the
                 distribution function of a certain random series. It 1s
                 known to be either singular or absolutely continuous,
                 but the problem for which parameters it 1s absolutely
                 continuous 1s largely open. We collect some previously
                 established partial answers and generalize them. We
                 also point out an interesting connection to the
                 so-called Schilling equation.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:FEDb,
  author =       "Jonathan M. Borwein and Roland Girgensohn",
  title =        "Functional equations and distribution functions",
  journal =      "Results in Mathematics. Resultate der Mathematik",
  volume =       "26",
  number =       "3--4",
  pages =        "229--237",
  year =         "1994",
  DOI =          "https://doi.org/10.1007/BF03323043",
  ISSN =         "0378-6218",
  ISSN-L =       "0378-6218",
  MRclass =      "39B22 (39B62 60E05 62E15)",
  MRnumber =     "1300602",
  MRreviewer =   "K. Lajk{\'o}",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "For J{\'a}nos Acz{\'e}l's 70th birthday.",
  URL =          "http://docserver.carma.newcastle.edu.au/90/",
  acknowledgement = ack-nhfb,
  ajournal =     "Results Math.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Results in Mathematics. Resultate der Mathematik",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1994:MER,
  author =       "J. M. Borwein and A. S. Lewis and D. Noll",
  title =        "Maximum entropy reconstruction using derivative
                 information. {Part 1}: {Fisher} information and convex
                 duality",
  type =         "Report",
  institution =  "Department of Combinatorics and Optimization
                 University of Waterloo",
  address =      "Waterloo, ON N2L 3G1, Canada",
  pages =        "31",
  day =          "14",
  month =        dec,
  year =         "1994",
  bibdate =      "Thu Sep 01 15:39:54 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/82",
  abstract =     "Maximum entropy spectral density estimation is a
                 technique for reconstructing an unknown density
                 function from some known measurements by maximizing a
                 given measure of entropy of the estimate. Here we
                 present a variety of new entropy measures which attempt
                 to control derivative values of the densities. Our
                 models apply among others to the inference problem
                 based on the averaged Fisher information measure. The
                 duality theory we develop resembles models used in
                 convex optimal control problems. We present a variety
                 of examples, including relaxed moment matching with
                 Fisher information and best interpolation on a strip.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "duality; Fisher information; generalized solutions;
                 Maximum Entropy method; optimal control; Partially
                 finite convex programming; Spectral Density
                 estimation",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1994:MES,
  author =       "J. M. Borwein and A. S. Lewis and M. N. Limber and D.
                 Noll",
  title =        "Maximum Entropy Spectral Analysis Using Derivative
                 Information Part 2: Computational Results",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "19",
  day =          "10",
  month =        jan,
  year =         "1994",
  bibdate =      "Thu Sep 01 14:47:08 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/71",
  abstract =     "Maximum entropy density estimation, a technique for
                 reconstructing an unknown density function on the basis
                 of certain measurements, has applications in various
                 areas of applied physical sciences and engineering.
                 Here we present concrete results for the maximum
                 entropy inversion program based on a new class of
                 information measures which are designed to control
                 derivative values of the unknown densities.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Convex duality; Fisher information; Optimal Control;
                 Primal dual program; Runge--Kutta methods; Spectral
                 density estimation",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:NRS,
  author =       "Jonathan M. Borwein and Mari{\'a}n Fabi{\'a}n",
  title =        "A note on regularity of sets and of distance functions
                 in {Banach} space",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "182",
  number =       "2",
  pages =        "566--570",
  year =         "1994",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1006/jmaa.1994.1104",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "49J52",
  MRnumber =     "1269478",
  MRreviewer =   "Doug Ward",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022247X84711048",
  abstract =     "We show that in every infinite dimensional Banach
                 space there is a compact set C and x in C such that C
                 is regular at x (in the sense of nonsmooth analysis)
                 but such that the associated distance function dC is
                 not regular at x and neither is -dC.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:SCM,
  author =       "J. M. Borwein and P. B. Borwein and F. G. Garvan",
  title =        "Some cubic modular identities of {Ramanujan}",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "343",
  number =       "1",
  pages =        "35--47",
  month =        may,
  year =         "1994",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2154520",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "11B65 (11F27 33D10)",
  MRnumber =     "1243610",
  MRreviewer =   "George E. Andrews",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1547/;
                 http://www.jstor.org/stable/2154520",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1994:SEC,
  author =       "Jonathan M. Borwein",
  title =        "A survey of examples of convex functions and
                 classifications of normed spaces",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "13",
  day =          "1",
  month =        dec,
  year =         "1994",
  MRclass =      "46B20, 46N10 (46B10)",
  bibdate =      "Thu Sep 01 16:26:49 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Revised 22 January 1995. Published in
                 \cite{Borwein:1995:SEC}.",
  URL =          "http://docserver.carma.newcastle.edu.au/92;
                 http://docserver.carma.newcastle.edu.au/93",
  abstract =     "This paper represents a slightly extended version of
                 the eponymous talk given at the VII Colloque
                 Franco-Allemand d'Optimisation. My aim is to illustrate
                 the tight connection between the sequential properties
                 of a Banach space and the corresponding properties of
                 the convex functions and sets which may or may not be
                 defined on that space.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "classical Banach spaces; convex functions;
                 differentiability; Haar-null sets.; nearest points;
                 sequential properties",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:SOD,
  author =       "Jonathan M. Borwein and Dominikus Noll",
  title =        "Second order differentiability of convex functions in
                 {Banach} spaces",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "342",
  number =       "1",
  pages =        "43--81",
  month =        mar,
  year =         "1994",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2154684",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "46G05 (26E15)",
  MRnumber =     "1145959",
  MRreviewer =   "Lud{\v{e}}k Zaj{\'{\i}}{\v{c}}ek",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1549/;
                 http://www.jstor.org/stable/2154684",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:SRO,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Strong rotundity and optimization",
  journal =      j-SIAM-J-OPT,
  volume =       "4",
  number =       "1",
  pages =        "146--158",
  year =         "1994",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/0804008",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "49K27 (90C48)",
  MRnumber =     "1260412",
  MRreviewer =   "T. Zolezzi",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1550/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:STE,
  author =       "David Borwein and Jonathan M. Borwein",
  title =        "On Some Trigonometric and Exponential Lattice Sums",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "188",
  number =       "1",
  pages =        "209--218",
  year =         "1994",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1006/jmaa.1994.1422",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "11L03 (11L07)",
  MRnumber =     "1301727",
  MRreviewer =   "Gunter Dufner",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1542/;
                 http://www.sciencedirect.com/science/article/pii/S0022247X84714223",
  abstract =     "Certain two-dimensional trigonometric lattice series,
                 the ordinary convergence of which involves unresolved
                 questions of a deep and delicate number-theoretic
                 nature, are shown to be summable by a special Abelian
                 method and their Abelian sums are obtained. This is
                 done by first evaluating an absolutely convergent
                 exponential lattice series and then analytically
                 extending its sum.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1994:UCMa,
  author =       "J. M. Borwein and W. Huang",
  title =        "Uniform convergence for moment problems with
                 {Fermi--Dirac} type entropies",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "11",
  day =          "7",
  month =        jan,
  year =         "1994",
  MRclass =      "49M39, 41A10, 44A60",
  bibdate =      "Thu Sep 01 14:42:30 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/70/",
  abstract =     "We consider the best entropic estimation to a unknown
                 density $ \bar {x} $, given some of its algebraic or
                 trigonometric moments. A uniform convergence theorem is
                 established in this paper for such problems using
                 Fermi--Dirac type entropic objectives",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "best approximation; Fenchel duality; Fermi--Dirac
                 entropy; linear constrained optimization; moment
                 problems; uniform convergence",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:UCMb,
  author =       "J. M. Borwein and W. Huang",
  title =        "Uniform convergence for moment problems with
                 {Fermi--Dirac} type entropies",
  journal =      j-ZOR-MATH-METHODS-OPER-RES,
  volume =       "40",
  number =       "3",
  pages =        "239--252",
  year =         "1994",
  CODEN =        "ZMRREP",
  DOI =          "https://doi.org/10.1007/BF01432968",
  ISSN =         "0340-9422",
  MRclass =      "90C45 (44A60)",
  MRnumber =     "1316390",
  MRreviewer =   "Dominikus Noll",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/70/;
                 http://link.springer.com/article/10.1007/BF01432968",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Zeitschrift f{\"u}r Operations Research. Mathematical
                 Methods of Operations Research",
  journal-URL =  "http://link.springer.com/journal/186",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1994:UMP,
  author =       "J. M. Borwein and M. A. Limber",
  title =        "Underdetermined moment problems: a case for convex
                 analysis",
  journal =      "SIAG/OPT",
  volume =       "??",
  number =       "5",
  pages =        "9--13",
  month =        "Fall",
  year =         "1994",
  DOI =          "",
  bibdate =      "Mon Aug 15 14:52:57 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Invited talk at 1994 SIAM Conference on
                 Optimization.",
  URL =          "",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Which journal is this??",
}

@TechReport{Borwein:1994:VAN,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "Variational analysis in nonreflexive spaces and
                 applications to control problems with {$ L^1 $}
                 perturbations",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "40",
  day =          "2",
  month =        may,
  year =         "1994",
  bibdate =      "Thu Sep 01 14:58:07 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/78",
  abstract =     "We provide a refined sensitivity analysis for finite
                 and infinite horizon control problems where in both
                 cases the perturbation space is $ L^1 $. Our underlying
                 technique relies on a recent sequential description of
                 both the generalized gradient of Clarke and of the
                 approximate $G$-subdifferential of functions defined on
                 a smooth Banach space. We also show that the proximal
                 limit formula for the generalized gradient and its $
                 L^p$ analogue are direct consequences of these
                 sequential formulas. Related characterizations of
                 Lipschitzness of a function on a smooth space are
                 given.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Bailey:1995:FNI,
  author =       "D. H. Bailey and J. M. Borwein and R. Girgensohn",
  editor =       "????",
  booktitle =    "{SIAM Conference on Parallel Computing, San Francisco,
                 February 1995}",
  title =        "Finding new identities with supercomputers",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "??--??",
  year =         "1995",
  bibdate =      "Mon Aug 15 14:48:40 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@TechReport{Bauschke:1995:CLM,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  title =        "Continuous linear monotone mappings in {Banach}
                 space",
  type =         "CECM Research Report",
  number =       "95:049",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "48",
  day =          "29",
  month =        aug,
  year =         "1995",
  bibdate =      "Tue Aug 16 10:12:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/114/;
                 https://web.archive.org/web/20110313015539/",
  abstract =     "The concept of a monotone operator --- which covers
                 both linear positive semi-definite operators and
                 subdifferentials of convex functions --- has turned out
                 to be very powerful in various branches of mathematics.
                 - Over the last few decades, several new notions of
                 monotonicity have been introduced: Gossez' maximal
                 monotone of type (D), Simons' monotone of type (WD) and
                 of type (NI), Fitzpatrick and Phelps' locally maximal
                 monotone. While these monotonicities are automatic for
                 maximal monotone operators in reflexive Banach spaces
                 and for subdifferentials of convex functions, their
                 precise relationship is largely unknown. In view of the
                 origin of the theory of monotone operators, it is very
                 natural to investigate linear monotone (i.e. positive
                 semi-definite) operators. Here, it 1s shown --- within
                 the beautiful framework of Convex Analysis --- that for
                 continuous linear monotone operators, {\em all these
                 notions coincide and are equivalent to the monotonicity
                 of the conjugate operator}. The latter condition is
                 analyzed and illustrated by several examples. Some
                 nonlinear results on regularizations conclude the
                 paper.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
  xxtitle =      "Continuous Linear Monotone Operators on {Banach}
                 Space",
}

@TechReport{Bauschke:1995:LFM,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  title =        "{Legendre} functions and the method of random
                 {Bregman} projections",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "48",
  day =          "2",
  month =        mar,
  year =         "1995",
  MRclass =      "49M45 (47TH17, 52A41, 65F10, 65K05, 90C25)",
  bibdate =      "Thu Sep 01 16:43:37 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Bauschke:1997:LFM}.",
  URL =          "http://docserver.carma.newcastle.edu.au/96",
  abstract =     "The convex feasibility problem, that is, finding a
                 point in the intersection of finitely many closed
                 convex sets in Euclidean space, arises in various areas
                 of mathematics and physical sciences. It can be solved
                 by the classical method of cyclic orthogonal
                 projections, where, by projecting cyclically onto the
                 sets, a sequence is generated that converges to a point
                 in the intersection. In 1967, Bregman extended this
                 method to non-orthogonal projections based on a new
                 notion of distance, now days called ``Bregman
                 distance''. The Bregman distance is induced by a convex
                 function. If this function is a so-called ``zone
                 consistent Bregman function'', then Bregman's method
                 works; however, deciding on this can be difficult. In
                 this paper, Bregman's method is studied within the
                 powerful framework of Convex Analysis. New insights are
                 obtained and the rich class of ``Bregman\slash Legendre
                 functions'' is introduced. Bregman's method still
                 works, if the underlying function is Bregman\slash
                 Legendre or more generally if it is Legendre but some
                 constraint qualification holds additionally. The key
                 advantage 1s the broad applicability and verifiability
                 of these concepts. The results presented here are
                 complementary to recent work by Censor and Reich on the
                 method of random Bregman projections (where the sets
                 are projected onto infinitely often --- not necessarily
                 cyclically). Special attention 1s given to examples,
                 some of which connect to Pythagorean means and to
                 Convex Analysis on the Hermitian or symmetric
                 matrices.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Bregman function; Bregman projection; convex
                 feasibility problem; convex function; convex set;
                 essentially smooth function; essentially strictly
                 convex function; Hermitian matrix; Legendre function;
                 projection",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Bauschke:1995:PAS,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  title =        "On Projection Algorithms for Solving Convex
                 Feasibility Problems",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "99",
  day =          "28",
  month =        apr,
  year =         "1995",
  bibdate =      "Wed Aug 31 08:57:40 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Bauschke:1996:PAS}",
  URL =          "http://docserver.carma.newcastle.edu.au/100/2/95_034-Bauschke-Borwein.pdf",
  abstract =     "Due to their extraordinary utility and broad
                 applicability in many areas of classical mathematics
                 and modern physical sciences (most notably,
                 computerized tomography), algorithms for solving convex
                 feasibility problems continue to receive great
                 attention. To unify, generalize, and review some of
                 these algorithms, a very broad and flexible framework
                 is investigated. Several crucial new concepts which
                 allow a systematic discussion of questions on behaviour
                 in general Hilbert spaces and on the quality of
                 convergence are brought out. Numerous examples are
                 given.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Undated, but stored in 1995-labeled directory, and PDF
                 produced Fri Apr 28 14:11:01 1995.",
}

@Book{Borowski:1995:DCD,
  author =       "Ephraim J. Borowski and Jonathan M. Borwein",
  title =        "Dizionario {Collins} della matematica",
  publisher =    "Gremese Editore",
  address =      "Roma, Italy",
  pages =        "423",
  year =         "1995",
  ISBN =         "88-7605-813-3",
  ISBN-13 =      "978-88-7605-813-4",
  LCCN =         "????",
  bibdate =      "Tue Aug 16 09:08:42 MDT 2016",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Translation to Italian by Andrea Stracca of
                 \cite{Borowski:1991:HDM}.",
  series =       "Dizionari Gremese",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject =      "Matematica - Enciclopedie e dizionari",
}

@Book{Borowski:1995:SXC,
  author =       "Ephraim J. Borowski and Jonathan M. Borwein",
  title =        "Shu xue ci dian",
  volume =       "10",
  publisher =    "Mao tou ying chu ban",
  address =      "Taibei",
  pages =        "879",
  year =         "1995",
  ISBN =         "957-0337-14-1",
  ISBN-13 =      "978-957-0337-14-3",
  LCCN =         "????",
  bibdate =      "Tue Aug 16 09:05:36 MDT 2016",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Chinese edition of \cite{Borowski:1991:HDM}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1995:ATB,
  author =       "Jonathan M. Borwein and Roland Girgensohn",
  title =        "Addition theorems and binary expansions",
  journal =      j-CAN-J-MATH,
  volume =       "47",
  number =       "2",
  pages =        "262--273",
  year =         "1995",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1995-013-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "39B62 (11A63)",
  MRnumber =     "1335077",
  MRreviewer =   "W. Herget",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1537/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:CCH,
  author =       "Jonathan M. Borwein and Simon Fitzpatrick",
  title =        "Closed convex {Haar} null sets",
  type =         "CECM Research Report",
  number =       "95:052",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "9",
  month =        aug,
  year =         "1995",
  bibdate =      "Tue Aug 16 10:13:27 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/117/",
  abstract =     "If $E$ is a separable super-reflexive Banach space
                 then every closed convex subset of $E$ with empty
                 interior is a Haar null set.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1995:CCS,
  author =       "J. M. Borwein and S. Fitzpatrick",
  booktitle =    "Proceedings of the Optimization Miniconference II",
  title =        "Characterization of {Clarke} subgradients among
                 one-dimensional multifunctions",
  publisher =    "University of Ballarat",
  address =      "Ballarat, VI, Australia",
  pages =        "5--12",
  year =         "1995",
  bibdate =      "Mon Aug 15 14:41:04 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/23/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1995:CLR,
  author =       "Jonathan M. Borwein and Jon D. Vanderwerff",
  title =        "Convergence of {Lipschitz} regularizations of convex
                 functions",
  journal =      j-J-FUNCT-ANAL,
  volume =       "128",
  number =       "1",
  pages =        "139--162",
  year =         "1995",
  CODEN =        "JFUAAW",
  DOI =          "https://doi.org/10.1006/jfan.1995.1026",
  ISSN =         "0022-1236 (print), 1096-0783 (electronic)",
  ISSN-L =       "0022-1236",
  MRclass =      "49J45 (46N10 49J52)",
  MRnumber =     "1317713",
  MRreviewer =   "Lionel Thibault",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1540/;
                 http://www.sciencedirect.com/science/article/pii/S0022123685710269",
  abstract =     "For a sequence or net of convex functions on a Banach
                 space, we study pointwise convergence of their
                 Lipschitz regularizations and convergence of their
                 epigraphs. The Lipschitz regularizations we will
                 consider are the infimal convolutions of the functions
                 with appropriate multiples of the norm. For a sequence
                 of convex functions on a separable Banach space we show
                 that both pointwise convergence of their Lipschitz
                 regularizations and Wijsman convergence of their
                 epigraphs are equivalent to variants of two conditions
                 used by Attouch and Beer to characterize slice
                 convergence. Results for nonseparable spaces are
                 obtained by separable reduction arguments. As a
                 by-product, slice convergence for an arbitrary net of
                 convex functions can be deduced from the pointwise
                 convergence of their regularizations precisely when the
                 w* and the norm topologies agree on the dual sphere.
                 This extends some known results and answers an open
                 question.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Functional Analysis",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00221236",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:CML,
  author =       "David Borwein and Jonathan M. Borwein and Christopher
                 Pinner",
  title =        "Convergence of {Madelung}-Like Lattice Sums",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "46",
  month =        jun,
  year =         "1995",
  bibdate =      "Wed Aug 31 09:30:55 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/104/2/95_040-Borwein-Borwein-Pinner.pdf",
  abstract =     "We make a general study of the convergence properties
                 of lattice sums, involving potentials, of the form
                 occurring in Mathematical Chemistry and Physics. Many
                 specific examples are studied in detail. The prototype
                 is Madelung's constant for NaCl: $$ \sum_{- \infty }^{+
                 \infty } \frac {( - 1)^{n + m + p}}{\sqrt {n^2 + m^2 +
                 p^2}} = - 1.74756459 \cdots $$ resuming that one
                 appropriately interprets the summation process.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:DDF,
  author =       "J. M. Borwein and Xianfu Wang",
  title =        "Distinct Differentiable Functions May Share the Same
                 {Clarke} Subdifferential at all points",
  type =         "Report",
  institution =  inst-CARMA,
  address =      inst-CARMA:adr,
  pages =        "10",
  day =          "29",
  month =        jun,
  year =         "1995",
  bibdate =      "Wed Aug 31 06:33:16 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1997:DDF}.",
  URL =          "https://docserver.carma.newcastle.edu.au/112/2/95_047-Borwein-Wang.pdf",
  abstract =     "We construct, using Zahorski's Theorem, two everywhere
                 differentiable real-valued Lipschitz functions
                 differing by more than a constant but sharing the same
                 Clarke subdifferential and the same approximate
                 subdifferential.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Revised 8 September 1995.",
}

@Article{Borwein:1995:EEEa,
  author =       "David Borwein and Jonathan M. Borwein and Roland
                 Girgensohn",
  title =        "Explicit evaluation of {Euler} sums",
  journal =      j-PROC-EDINBURGH-MATH-SOC-2,
  volume =       "38",
  number =       "2",
  pages =        "277--294",
  month =        jun,
  year =         "1995",
  CODEN =        "PRMSA3",
  DOI =          "https://doi.org/10.1017/S0013091500019088",
  ISSN =         "0013-0915 (print), 1464-3839 (electronic)",
  ISSN-L =       "0013-0915",
  MRclass =      "11M06 (11Y60)",
  MRnumber =     "1335874",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/58/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the Edinburgh Mathematical Society
                 (2)",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PEM",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:EUC,
  author =       "Jonathan M. Borwein and Jon D. Vanderwerff",
  title =        "Epigraphical and uniform convergence of convex
                 functions",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "19",
  day =          "17",
  month =        mar,
  year =         "1995",
  MRclass =      "46A55, 46B20, 52A41",
  bibdate =      "Thu Sep 01 16:32:28 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/94/",
  abstract =     "We examine when a sequence of lsc convex functions on
                 a Banach space con- verges uniformly on bounded sets
                 (resp. compact sets) provided it converges Attouch-Wets
                 (resp. Painlev{\'e}--Kuratowski). We also obtain
                 related results for pointwise convergence and uniform
                 convergence on weakly compact sets. Some known results
                 concerning the convergence of sequences of linear
                 functionals are shown to also hold for lsc convex
                 functions. For example, a sequence of lsc convex
                 functions converges uniformly on bounded sets to a
                 continuous affine function provided that the
                 convergence is uniform on weakly compact sets and the
                 space does not contain an isomorphic copy of $ \ell_1
                 $.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Attouch-Wets convergence; Epi-convergence; lsc convex
                 function; Mosco convergence.; Painlev{\'e}--Kuratowski
                 convergence; pointwise convergence; uniform
                 convergence",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1995:FHMa,
  author =       "J. M. Borwein and W. Z. Huang",
  title =        "A fast heuristic method for polynomial moment problems
                 with {Boltzmann--Shannon} entropy",
  journal =      j-SIAM-J-OPT,
  volume =       "5",
  number =       "1",
  pages =        "68--99",
  year =         "1995",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/0805004",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C45 (44A60 65K05)",
  MRnumber =     "1315705",
  MRreviewer =   "Dominikus Noll",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1539/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1995:FHMb,
  author =       "J. M. Borwein and M. N. Limber and D. Noll",
  title =        "Fast heuristic methods for function reconstruction
                 using derivative information",
  journal =      j-APPL-ANAL,
  volume =       "58",
  number =       "3--4",
  pages =        "241--261",
  year =         "1995",
  CODEN =        "APANCC",
  DOI =          "https://doi.org/10.1080/00036819508840375",
  ISSN =         "0003-6811",
  ISSN-L =       "0003-6811",
  MRclass =      "65D15 (49N15 62G05)",
  MRnumber =     "1383191",
  MRreviewer =   "Zdzis{\l}aw W. Trzaska",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1536/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Applicable Analysis. An International Journal",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:GCP,
  author =       "D. Borwein and J. M. Borwein and P. B. Borwein and R.
                 Girgensohn",
  title =        "{Giuga}'s conjecture on primality",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "16",
  day =          "9",
  month =        jun,
  year =         "1995",
  MRclass =      "11A41, 11Y11 (11Y50)",
  bibdate =      "Thu Sep 01 15:48:11 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1996:GCP}.",
  URL =          "http://docserver.carma.newcastle.edu.au/88",
  abstract =     "G. Giuga conjectured that if an integer $n$ satisfies
                 $ \sum_{k = 1}^{n - 1} k^{n - 1} \equiv - 1 \bmod n$,
                 then $n$ must be a prime. We survey what is known about
                 this interesting and now fairly old conjecture. Giuga
                 proved that $n$ is a counterexample to his conjecture
                 if and only if each prime divisor $p$ of $n$ satisfies
                 $ (p - 1) | (n / p - 1)$ and $ p | (n / p - 1)$. Using
                 this characterization, he proved computationally that
                 any counterexample has at least 1,000 digits; equipped
                 with more computing power, E. Bedocchi later raised
                 this bound to 1,700 digits. By improving on their
                 method, we determine that any counterexample has at
                 least 13,800 digits. We also give some new results on
                 the second of the above conditions. This leads, in our
                 opinion, to some interesting questions about what we
                 call Giuga numbers and Giuga sequences.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Carmichael numbers; Computational number theory;
                 Primality",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1995:IIS,
  author =       "David Borwein and Jonathan M. Borwein",
  title =        "On an intriguing integral and some series related to
                 $ \zeta (4) $",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "123",
  number =       "4",
  pages =        "1191--1198",
  year =         "1995",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2160718",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "11Y60 (11M06 11Y35 33B15 42A16)",
  MRnumber =     "1231029",
  MRreviewer =   "Henri Joris",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1538/",
  abstract =     "An intriguing log-cosine integral is fully analyzed
                 and shown to have value a rational multiple of $ \zeta
                 (4) $, $ \zeta $ being the Riemann zeta function. From
                 this we deduce by means of generating functions and
                 Parseval's identity the sums of certain series
                 previously established by a completely different
                 method.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:LFP,
  author =       "Jonathan M. Borwein and Warren B. Moors and Xianfu
                 Wang",
  title =        "{Lipschitz} functions with prescribed derivatives and
                 subderivatives",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "16",
  day =          "25",
  month =        jul,
  year =         "1995",
  MRclass =      "49J52 (46N10, 58C20)",
  bibdate =      "Thu Sep 01 16:15:30 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/92",
  abstract =     "In general it is difficult to construct Lipschitz
                 functions which are not directly built up from either
                 convex or distance functions. One impediment to such
                 constructions is that outside of the real line it 1s
                 difficult to find anti-derivatives. The main result of
                 this paper provides, under suitable circumstances, a
                 technique for constructing such anti-derivatives. More
                 precisely, we show that if $ f_1, f_2, \ldots, f_n $
                 are continuously differentiable real-valued locally
                 Lipschitz functions defined on a non-empty open subset
                 $A$ of a separable Banach space $X$, then there exists
                 a real-valued locally Lipschitz function $g$ defined on
                 $A$ such that at each point $ x \in A$ the Clarke
                 subgradient of $g$ at $x$ equals $ \mathrm {co} \{
                 \nabla f_1 (x), \nabla f_2 (x), \ldots {}, \nabla
                 f_n(x) \} $.\par

                 This same construction also shows that for any finite
                 family $ \{ T_1, T_2, \ldots {}, T_n \} $ of maximal
                 cyclically monotone mappings from $A$ into non-empty
                 subsets of $ X^\star $, there exists a real-valued
                 locally Lipschitz function $g$ defined on $A$ such that
                 at each point $ x \in A$ the Clarke subgradient of $g$
                 at $x$ equals $ \mathrm {co} \{ T_1 (x), T_2 (x),
                 \ldots {}, T_n(x) \} $. Moreover, we show that $g$ is
                 convex if and only if $ T_1 = T_2 = \cdots = T_n$.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Clarke subgradient; differentiability; Haar-null set;
                 Lipschitz functions; maximal cyclically monotone
                 operator; minimal cusco",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1995:MCF,
  author =       "Jonathan M. Borwein and Kenneth R. Davidson",
  booktitle =    "{Canadian Mathematical Society}. 1945--1995",
  title =        "Mathematics in {Canada}: the future of mathematics in
                 {Canada} 50 years later",
  volume =       "1",
  publisher =    "Canadian Mathematical Society",
  address =      "Ottawa, ON, Canada",
  pages =        "231--268 (249--268 fran{\c{c}}iai)",
  year =         "1995",
  MRclass =      "01A80 (01A67)",
  MRnumber =     "1661625",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Dual English--French text.",
  series =       "CMS Publications",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Unpublished{Borwein:1995:MEMa,
  author =       "J. M. Borwein and P. B. Borwein and R. Girgensohn and
                 S. Parnes",
  title =        "Mathematical Experimentation and Methodology",
  month =        jan,
  year =         "1995",
  bibdate =      "Tue Aug 16 10:07:27 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Unpublished report.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1995:MER,
  author =       "J. M. Borwein and A. S. Lewis and M. N. Limber and D.
                 Noll",
  title =        "Maximum entropy reconstruction using derivative
                 information. {II}. {Computational} results",
  journal =      j-NUM-MATH,
  volume =       "69",
  number =       "3",
  pages =        "243--256",
  year =         "1995",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s002110050090",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65K10 (65U05)",
  MRnumber =     "1312779",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/71/;
                 http://link.springer.com/article/10.1007/s002110050090",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxtitle =      "Maximum entropy spectral analysis using first order
                 information. {Part 2}: {A} Numerical Algorithm for
                 {Fisher} information duality",
}

@TechReport{Borwein:1995:MSE,
  author =       "Jonathan M. Borwein and Peter B. Borwein and Roland
                 Girgensohn and S. Parnes",
  title =        "Making sense of experimental mathematics",
  type =         "CECM preprint",
  number =       "95:032",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  year =         "1995",
  bibdate =      "Thu Aug 11 09:31:33 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/98/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:NCC,
  author =       "Jonathan M. Borwein and Jay S. Treiman and Qiji J.
                 Zhu",
  title =        "Necessary Conditions for Constrained Optimization
                 Problems with Semicontinuous and Continuous Data",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  month =        sep,
  year =         "1995",
  MRclass =      "49J52 (49J40, 49J50, 58C20)",
  bibdate =      "Wed Aug 31 09:53:05 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/116/2/95_051-Borwein-Treiman-Zhu.pdf",
  abstract =     "We consider nonsmooth constrained optimization
                 problems with semicontinuous and continuous data in
                 Banach space and derive necessary conditions without
                 constraint qualification in terms of smooth
                 subderivatives and normal cones. These results, in
                 different versions, are set in reflexive and smooth
                 Banach spaces.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Constrained optimization problems; multipliers;
                 nonsmooth analysis; normals and fuzzy calculus.;
                 subderivatives",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:PAS,
  author =       "Jonathan M. Borwein and Alexander Ioffe",
  title =        "Proximal Analysis in Smooth Spaces",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "30",
  day =          "21",
  month =        feb,
  year =         "1995",
  bibdate =      "Thu Sep 01 14:05:31 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/61",
  abstract =     "We provide a highly-refined sequential description of
                 the generalized gradients of Clarke and approximate
                 $G$-subdifferential of a lower semicontinuous
                 extended-real-valued function defined on a Banach space
                 with a $ \beta $-smooth equivalent renorm. In the case
                 of a Fr{\'e}chet differentiable renorm we give a
                 corresponding result for the corresponding singular
                 objects.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "$G$ subdifferentials; Clarke subdifferentials;
                 distance functions; Lipschitz functions; lower semi
                 continuous functions; normals; smooth renorms;
                 sub-derivatives; tangent cones; variational
                 principles",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:SAD,
  author =       "J. M. Borwein and W. Sun",
  title =        "The stability analysis of dynamic {SPECT} systems",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "14",
  year =         "1995",
  MRclass =      "68U10, 41A30, 65F35",
  bibdate =      "Thu Sep 01 17:55:00 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/99",
  abstract =     "SPECT (Single Photon Emission Computed Tomography)
                 techniques have been applied to a wide range of medical
                 studies. The stability of a SPECT model depends
                 strongly upon the data collected. We show that a SPECT
                 model is full rank and well-conditioned (stable) if the
                 projection data are large enough. Condition number
                 estimates for a linear model are given. Numerical
                 results for a class of linear models confirm our
                 theoretical analysis.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "least squares; medical imaging; SPECT model;
                 stability",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Undated and no date in PDF file metadata, but
                 directory numbering suggests 1995. Newest entry [1] in
                 References list is dated 1994. Reference [7] is
                 published in \cite{Limber:1995:DRF}.",
}

@Article{Borwein:1995:SCB,
  author =       "Jonathan Borwein and Simon Fitzpatrick",
  title =        "{$ {\rm Weak}^\ast $} sequential compactness and
                 bornological limit derivatives",
  journal =      j-J-CONVEX-ANAL,
  volume =       "2",
  number =       "1--2",
  pages =        "59--67",
  year =         "1995",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "49J52 (46G05 47N10 49J40 58C20)",
  MRnumber =     "1363360",
  MRreviewer =   "Nikolay V. Zhivkov",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Dedicated to R. T. Rockafellar on his 60th birthday.",
  URL =          "http://www.heldermann.de/JCA/jcacon.htmvol.2_no.1+2/j4_49.ps.gz",
  abstract =     "In this note we give a self-contained account of the
                 relationship between the sequential and topological
                 constructions of bornological limit derivatives for
                 locally Lipschitzian real-valued functions on Banach
                 spaces.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  keywords =     "Asplund space; bornological limit derivative; Clarke
                 subgradient; Fr{\'e}chet derivative; Gateaux
                 derivative; subderivative; weak Hadamard derivative;
                 weak* sequential compactness.; weakly compactly
                 generated",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  received =     "6 June 1994; revised 15 November 1994",
}

@InProceedings{Borwein:1995:SEC,
  author =       "Jonathan M. Borwein",
  editor =       "Roland Durier and Chistian Michelot",
  booktitle =    "Recent Developments in Optimization: Seventh
                 {French--German} Conference on Optimization ({Dijon}
                 1994)",
  title =        "A survey of examples of convex functions and
                 classifications of normed spaces",
  volume =       "429",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "60--71",
  year =         "1995",
  DOI =          "https://doi.org/10.1007/978-3-642-46823-0_5",
  ISBN =         "3-642-46823-3",
  ISBN-13 =      "978-3-642-46823-0",
  LCCN =         "QA402.5",
  MRclass =      "46N10 (46B20 49J50)",
  MRnumber =     "1358388",
  MRreviewer =   "A. B. N{\'e}meth",
  bibdate =      "Mon Aug 15 14:50:05 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Lecture Notes in Economic and Mathematical Systems",
  URL =          "http://docserver.carma.newcastle.edu.au/93/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxtitle =      "A survey of examples of convex functions and the
                 classification of {Banach} spaces",
}

@TechReport{Borwein:1995:SRR,
  author =       "J. M. Borwein and E. Wong",
  title =        "A survey of results relating to {Giuga}'s conjecture
                 on primality",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "21",
  day =          "8",
  month =        may,
  year =         "1995",
  bibdate =      "Wed Aug 31 08:44:19 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1997:SRR}.",
  abstract =     "This article is an expanded version of the talk given
                 by the first author at the 25th Anniversary Conference
                 of the Centre de R{\'e}cherches Math{\'e}matiques.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:SRSa,
  author =       "Jonathan M. Borwein and Jon D. Vanderwerff",
  title =        "A survey on renorming and set convergence",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "19",
  day =          "25",
  month =        mar,
  year =         "1995",
  MRclass =      "46A55, 46B20, 52A41",
  bibdate =      "Thu Sep 01 16:51:41 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1995:SRSb}.",
  URL =          "http://docserver.carma.newcastle.edu.au/97",
  abstract =     "This article presents a survey of some recent results
                 relating set convergence and renorming. We focus most
                 of our attention on norms having various Kadec--Klee
                 properties and their interplay with certain forms of
                 set convergence including Wijsman and slice
                 convergence.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "convex analysis; Kadec--Klee norms; Lipschitz
                 regularizations; Mosco convergence; set convergence;
                 slice convergence; Wijsman convergence",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1995:SRSb,
  author =       "Jonathan M. Borwein and Jon D. Vanderwerff",
  title =        "A survey on renorming and set convergence",
  journal =      "Topological Methods in Nonlinear Analysis",
  volume =       "5",
  number =       "2",
  pages =        "211--228",
  year =         "1995",
  ISSN =         "1230-3429",
  ISSN-L =       "1230-3429",
  MRclass =      "46B20 (46G05 46N10 49J45 54B20)",
  MRnumber =     "1374058",
  MRreviewer =   "David Yost",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/97/;
                 https://www.tmna.ncu.pl/static/files/v05n2-01.pdf",
  acknowledgement = ack-nhfb,
  ajournal =     "Topol. Methods Nonlinear Anal.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Topological Methods in Nonlinear Analysis",
  journal-URL =  "https://www.tmna.ncu.pl/static/archives/archives.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1995:VSV,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "Viscosity solutions and viscosity subderivatives in
                 smooth {Banach} spaces with applications to metric
                 regularity",
  type =         "Report",
  institution =  "Department of Mathematics \& Statistics, Simon Fraser
                 University",
  address =      "Burnaby, BC V5A 156, Canada",
  pages =        "40",
  day =          "18",
  month =        mar,
  year =         "1995",
  MRclass =      "49J52 (49L25, 49J40, 49J50, 58C20)",
  bibdate =      "Thu Sep 01 15:35:07 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/80",
  abstract =     "In Gateaux or bornologically differentiable spaces
                 there are two natural generalizations of the concept of
                 a Fr{\'e}chet subderivative: In this paper we study the
                 viscosity subderivative (which is the more robust of
                 the two) and establish refined fuzzy sum rules for it
                 in a smooth Banach space. These rules are applied to
                 obtain comparison results for viscosity solutions of
                 Hamilton--Jacobi equations in $ \beta $-smooth spaces.
                 A unified treatment of metric regularity in smooth
                 spaces completes the paper. This illustrates the
                 flexibility of viscosity subderivatives as a tool for
                 analysis.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "fuzzy sum rule; Hamilton--Jacobi equations; metric
                 regularity; smooth spaces; viscosity solutions;
                 Viscosity subderivative",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Limber:1995:DRF,
  author =       "M. A. Limber and M. N. Limber and A. Celler and J. S.
                 Barney and J. M. Borwein",
  title =        "Direct reconstruction of functional parameters for
                 dynamic {SPECT}",
  journal =      j-IEEE-TRANS-NUCL-SCI,
  volume =       "42",
  number =       "4",
  pages =        "1249--1256",
  month =        aug,
  year =         "1995",
  CODEN =        "IRNSAM",
  DOI =          "https://doi.org/10.1109/23.467872",
  ISSN =         "0018-9499 (print), 1558-1578 (electronic)",
  ISSN-L =       "0018-9499",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1995ITNS...42.1249L;
                 http://docserver.carma.newcastle.edu.au/1535/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "IEEE Transactions on Nuclear Science",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=23",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Bailey:1996:QP,
  author =       "David H. Bailey and Jonathan M. Borwein and Peter B.
                 Borwein and Simon Plouffe",
  title =        "The quest for pi",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "16",
  day =          "25",
  month =        jun,
  year =         "1996",
  bibdate =      "Wed Aug 31 15:23:45 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Bailey:1997:QP}",
  URL =          "http://docserver.carma.newcastle.edu.au/164/",
  abstract =     "This article gives a brief history of the analysis and
                 computation of the mathematical constant $ \pi =
                 3.141359 \ldots {} $, including a number of the
                 formulas that have been used to compute $ \pi $ through
                 the ages. Recent developments in this area are then
                 discussed in some detail, including the recent
                 computation of $ \pi $ to over six billion decimal
                 digits using high-order convergent algorithms, and a
                 newly discovered scheme that permits arbitrary
                 individual hexadecimal digits of $ \pi $ to be
                 computed.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Bauschke:1996:MMD,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  title =        "Maximal monotonicity of dense type, local maximal
                 monotonicity, and monotonicity of the conjugate are all
                 the same for continuous linear operators",
  type =         "Report",
  institution =  "Department of Combinatorics \& Optimization,
                 University of Waterloo",
  address =      "Waterloo, Ontario N2L 3G1, Canada",
  pages =        "23",
  day =          "20",
  month =        nov,
  year =         "1996",
  bibdate =      "Wed Aug 31 15:38:23 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Bauschke:1999:MMD}.",
  URL =          "http://docserver.carma.newcastle.edu.au/180/",
  abstract =     "The concept of a monotone operator --- which covers
                 both linear positive semi-definite operators and
                 subdifferentials of convex functions 1s fundamental in
                 various branches of mathematics. Over the last few
                 decades, several stronger notions of monotonicity have
                 been introduced: Gossez's maximal monotonicity of dense
                 type, Fitzpatrick and Phelps's local maximal
                 monotonicity, and Simons's monotonicity of type (NI).
                 While these monotonicities are automatic for maximal
                 monotone operators in reflexive Banach spaces and for
                 subdifferentials of convex functions, their precise
                 relationship is largely unknown. Here, it 1s shown ---
                 within the beautiful framework of Convex Analysis ---
                 that for continuous linear monotone operators, all
                 these notions coincide and are equivalent to the
                 monotonicity of the conjugate operator. This condition
                 is further analyzed and illustrated by examples.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Bauschke:1996:PAS,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  title =        "On Projection Algorithms for Solving Convex
                 Feasibility Problems",
  journal =      j-SIAM-REVIEW,
  volume =       "38",
  number =       "3",
  pages =        "367--426",
  month =        sep,
  year =         "1996",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/S0036144593251710",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "90C25 (47N10 49M45 65J10)",
  MRnumber =     "1 409 591",
  MRreviewer =   "F. Deutsch",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "Compendex database;
                 http://epubs.siam.org/toc/siread/38/3;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
                 http://www.siam.org/journals/sirev/sirev383.htm",
  URL =          "http://docserver.carma.newcastle.edu.au/100/;
                 http://epubs.siam.org/sam-bin/dbq/article/25171",
  abstract =     "Due to their extraordinary utility and broad
                 applicability in many areas of classical mathematics
                 and modern physical sciences (most notably,
                 computerized tomography), algorithms for solving convex
                 feasibility problems continue to receive great
                 attention. To unify, generalize, and review some of
                 these algorithms, a very broad and flexible framework
                 is investigated. Several crucial new concepts which
                 allow a systematic discussion of questions on behaviour
                 in general Hilbert spaces and on the quality of
                 convergence are brought out. Numerous examples are
                 given.",
  acknowledgement = ack-nhfb,
  affiliation =  "Simon Fraser Univ",
  affiliationaddress = "BC, Can",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  classification = "723.2; 723.5; 921.5; 921.6; B0250 (Combinatorial
                 mathematics); B0260 (Optimisation techniques); B0290F
                 (Interpolation and function approximation); B6140C
                 (Optical information, image and video signal
                 processing); C1160 (Combinatorial mathematics); C1180
                 (Optimisation techniques); C1250 (Pattern recognition);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math. and Stat., Simon Fraser Univ., Burnaby,
                 BC, Canada",
  fjournal =     "SIAM Review. A Publication of the Society for
                 Industrial and Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabr =   "SIAM Rev",
  keywords =     "Algorithms; Approximation theory; Classical
                 mathematics; computerised tomography; Computerized
                 tomography; computerized tomography; convergence of
                 numerical methods; Convergence of numerical methods;
                 convex feasibility; Convex feasibility problems; Convex
                 inequalities; Convex programming; convex programming;
                 Functions; Hilbert spaces; Image reconstruction; image
                 reconstruction; image recovery; iterative method;
                 Iterative methods; iterative methods; Linear
                 convergence; linear convergence; linear inequality;
                 Mathematical programming; Problem solving; Projection
                 algorithms; projection algorithms; set theory;
                 Subgradient algorithm; subgradient algorithm",
  onlinedate =   "September 1996",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "According to the obituary at the AMS Web site, this is
                 Jon Borwein's most-cited paper. Google Scholar shows
                 1231 citations as of 02 January 2017, fewer than the
                 1378 noted in \cite{Barzilai:1988:TPS}.",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Borwein:1996:ADE,
  author =       "J. M. Borwein and F. G. Garvan",
  title =        "Approximations to $ \pi $ via the {Dedekind} eta
                 function",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "28",
  day =          "27",
  month =        mar,
  year =         "1996",
  bibdate =      "Wed Aug 31 14:56:53 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/158/",
  abstract =     "Arguably the most efficient algorithm currently known
                 for the extended precision calculation of $ \pi $ 1s a
                 quartic iteration due to J. M. and P. B. Borwein. In
                 their paper, the Borwein's show how this iteration and
                 others are intimately connected to the work of
                 Ramanujan. This connection 1s shown utilizing their
                 alpha-function which is defined in terms of
                 theta-functions. They are able to find p-th order
                 iterations based on this function using modular
                 equations for the theta-functions. In this paper we
                 construct an infinite family of functions $ \alpha_p $.
                 Each $ \alpha_p $ gives rise to a $p$-th order
                 iteration. For $ p = 4$ we obtain a quartic iteration
                 due to the Borweins but not the one that comes from the
                 alpha-function. For $ p = 3$ we obtain a cubic
                 iteration due to the Borweins that does not come from
                 the alpha-function. For $ p = 7$ we find a septic
                 iteration that is analogous to the cubic iteration. For
                 $ p = 9$ we obtain a nonic (ninth order) iteration that
                 does not seem to come from iterating the cubic twice.
                 Our method depends on using the computer and a symbolic
                 algebra package to find and solve certain modular
                 equations.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1996:AGM,
  author =       "Jonathan A. Borwein and Petr Lison{\v{e}}k and John A.
                 Macdonald",
  title =        "Arithmetic--Geometric Means Revisited",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "8",
  year =         "1996",
  bibdate =      "Thu Sep 01 10:39:15 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/4/",
  abstract =     "We use Maple's {\tt gfun} library to study the limit
                 formulae for a two-term recurrence (iteration) $ A G_N
                 $, which in the case $ N = 2 $ specializes to the
                 well-known Arithmetic-Geometric Mean iteration of
                 Gauss. Our main aim 1s to independently rediscover and
                 prove the limit formulae for two classical cases ($ N =
                 2, 3$) in a completely automated manner and to open the
                 way for studying the remaining cases ($ N > 3$).",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:ASC,
  author =       "D. Borwein and J. M. Borwein and Xianfu Wang",
  title =        "Approximate subgradients and coderivatives in {$ {\bf
                 R}^n $}",
  journal =      j-SET-VALUED-ANAL,
  volume =       "4",
  number =       "4",
  pages =        "375--398",
  year =         "1996",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1007/BF00436112",
  ISSN =         "0927-6947 (print), 1572-932x (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "49J52",
  MRnumber =     "1422402",
  MRreviewer =   "Doug Ward",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/152/;
                 http://link.springer.com/article/10.1007/BF00436112",
  abstract =     "We show that in two dimensions or higher the
                 Mordukhovich--Ioffe approximate subgradient and Clarke
                 subgradient may differ almost everywhere for
                 real-valued Lipschitz functions. Uncountably many
                 Fr{\'e}chet differentiable vector-valued Lipschitz
                 functions differing by more than constants can share
                 the same Mordukhovich--Ioffe coderivatives. Moreover,
                 the approximate Jacobian associated with the
                 Mordukhovich--Ioffe coderivative can be nonconvex
                 almost everywhere for Fr{\'e}chet differentiable
                 vector-valued Lipschitz functions. Finally we show that
                 for vector-valued Lipschitz functions the approximate
                 Jacobian associated with the Mordukhovich-Ioffe
                 coderivative can be almost everywhere disconnected.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:BRE,
  author =       "Jonathan M. Borwein and Rob M. Corless",
  title =        "Book Review: {{\booktitle{The Encyclopedia of Integer
                 Sequences}}, by N. J. A. Sloane and Simon Plouffe.
                 Academic Press, San Diego, CA, 1995. \$44.95. xii + 587
                 pp., hardcover. ISBN 0-12-558630-2}",
  journal =      j-SIAM-REVIEW,
  volume =       "38",
  number =       "2",
  pages =        "333--337",
  month =        jun,
  year =         "1996",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1038058",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Wed Aug 31 09:45:28 2016",
  bibsource =    "http://epubs.siam.org/toc/siread/38/2;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://www.jstor.org/stable/2132886",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "June 1996",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:BSAa,
  author =       "J. M. Borwein and J. D. Vanderwerff",
  title =        "{Banach} spaces that admit support sets",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "124",
  number =       "3",
  pages =        "751--755",
  year =         "1996",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-96-03122-X",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B20 (46B03)",
  MRnumber =     "1301010",
  MRreviewer =   "Catherine Finet",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/87/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:BSAb,
  author =       "J. M. Borwein and J. D. Vanderwerff",
  title =        "{Banach} spaces that admit support sets",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "124",
  number =       "3",
  pages =        "751--756",
  month =        mar,
  year =         "1996",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-96-03122-X",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  bibdate =      "Fri Aug 12 12:16:08 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/87/;
                 http://www.ams.org/journals/proc/1996-124-03/S0002-9939-96-03122-X/",
  abstract =     "It is shown that the existence of a closed convex set
                 all of whose points are properly supported in a Banach
                 space is equivalent to the existence of a certain type
                 of uncountable ordered one-sided biorthogonal system.
                 Under the continuum hypothesis, we deduce that this
                 notion is weaker than the existence of an uncountable
                 biorthogonal system.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1996:CRE,
  author =       "Jonathan M. Borwein and Warren B. Moors",
  title =        "A chain rule for essentially smooth {Lipschitz}
                 functions",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  day =          "16",
  month =        jan,
  year =         "1996",
  bibdate =      "Wed Aug 31 14:42:53 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1998:CRE}",
  URL =          "http://docserver.carma.newcastle.edu.au/151/",
  abstract =     "In this paper we introduce a new class of real-valued
                 locally Lipschitz functions, (that are similar in
                 nature and definition to Valadier's {\em saine\/}
                 functions) which we call {\em arc-wise essentially
                 smooth}, and we show that if $ g \colon R^n \to R $ is
                 arc-wise essentially smooth on $ R^n $ and each
                 function $ f_j \colon R^m \to R $, $ 1 \leq j \leq n $
                 is strictly differentiable almost everywhere in $ R^m
                 $, then $ g \circ f $ is strictly differentiable almost
                 everywhere in $ R^m $, where $ f \equiv (f_1 f_2,
                 \ldots, f_n) $. We also show that all the semi-smooth
                 and pseudo-regular functions are arc-wise essentially
                 smooth. Thus, we provide a large and robust lattice
                 algebra of Lipschitz functions whose generalized
                 derivatives are well-behaved.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:DAM,
  author =       "Jonathan M. Borwein and Peter B. Borwein and Stephen
                 Braham and Robert Corless and Loki J{\"o}rgenson",
  title =        "Digitally Activated Mathematics for a Brave New {World
                 Wide Web}",
  journal =      "Education, Research and Perspectives",
  volume =       "23",
  number =       "2",
  pages =        "28--47",
  month =        dec,
  year =         "1996",
  ISSN =         "0311-2543 (print), 1446-0017 (electronic)",
  ISSN-L =       "0311-2543",
  bibdate =      "Fri Aug 12 12:03:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Special issue on multimedia technologies and
                 education.",
  URL =          "http://docserver.carma.newcastle.edu.au/1533/;
                 http://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13132;
                 https://search.informit.com.au/documentSummary%3Bdn=970909729%3Bres=IELAPA",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  journal-URL =  "http://www.erpjournal.net/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "The journal Web site has no online archives before
                 year 2000.",
}

@TechReport{Borwein:1996:EFEa,
  author =       "Jonathan M. Borwein and David M. Bradley and David J.
                 Broadhurst",
  title =        "Evaluations of $k$-fold {Euler\slash Zagier} sums: a
                 compendium of results for arbitrary $k$",
  number =       "CECM-96-067, OUT-4102-63, hep-th/9611004",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "21",
  day =          "2",
  month =        sep,
  year =         "1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/161",
  abstract =     "Euler sums (also called Zagier sums) occur within the
                 context of knot theory and quantum field theory. There
                 are various conjectures related to these sums whose
                 incompletion is a sign that both the mathematics and
                 physics communities do not yet completely understand
                 the field. Here, we assemble results for Euler\slash
                 Zagier sums (also known as multidimensional zeta\slash
                 harmonic sums) of arbitrary depth, including sign
                 alternations. Many of our results were obtained
                 empirically and are apparently new. By carefully
                 compiling and examining a huge data base of high
                 precision numerical evaluations, we can claim with some
                 confidence that certain classes of results are
                 exhaustive. While many proofs are lacking, we have
                 sketched derivations of all results that have so far
                 been proved.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:EFEb,
  author =       "Jonathan M. Borwein and David M. Bradley and David J.
                 Broadhurst",
  title =        "Evaluations of $k$-fold {Euler\slash Zagier} sums: a
                 compendium of results for arbitrary $k$",
  journal =      "ArXiv High Energy Physics --- Theory e-prints",
  month =        nov,
  year =         "1996",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1996hep.th...11004B;
                 http://arxiv.org/abs/hep-th/9611004",
  abstract =     "Euler sums (also called Zagier sums) occur within the
                 context of knot theory and quantum field theory. There
                 are various conjectures related to these sums whose
                 incompletion is a sign that both the mathematics and
                 physics communities do not yet completely understand
                 the field. Here, we assemble results for Euler/Zagier
                 sums (also known as multidimensional zeta/harmonic
                 sums) of arbitrary depth, including sign alternations.
                 Many of our results were obtained empirically and are
                 apparently new. By carefully compiling and examining a
                 huge data base of high precision numerical evaluations,
                 we can claim with some confidence that certain classes
                 of results are exhaustive. While many proofs are
                 lacking, we have sketched derivations of all results
                 that have so far been proved.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "hep-th/9611004",
  keywords =     "High Energy Physics - Theory",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Accepted 31 October 1996.",
}

@Article{Borwein:1996:ETE,
  author =       "Jonathan M. Borwein and Roland Girgensohn",
  title =        "Evaluation of triple {Euler} sums",
  journal =      j-ELECT-J-COMB,
  volume =       "3",
  number =       "1",
  pages =        "Research Paper 23",
  year =         "1996",
  ISSN =         "1077-8926 (print), 1097-1440 (electronic)",
  ISSN-L =       "1077-8926",
  MRclass =      "11M99 (11Y60)",
  MRnumber =     "1401442",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/118/;
                 http://www.combinatorics.org/Volume_3/Abstracts/v3i1r23.html",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Electronic Journal of Combinatorics",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "27",
}

@Article{Borwein:1996:EUC,
  author =       "Jonathan M. Borwein and Jon D. Vanderwerff",
  title =        "Epigraphical and uniform convergence of convex
                 functions",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "348",
  number =       "4",
  pages =        "1617--1631",
  month =        apr,
  year =         "1996",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.1090/S0002-9947-96-01581-4",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "49J45 (46A55 46B20 46N10 52A41)",
  MRnumber =     "1344203",
  MRreviewer =   "W. W. Breckner",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/94/;
                 http://www.jstor.org/stable/2155155",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:GCP,
  author =       "D. Borwein and J. M. Borwein and P. B. Borwein and R.
                 Girgensohn",
  title =        "{Giuga}'s conjecture on primality",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "103",
  number =       "1",
  pages =        "40--50",
  year =         "1996",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2975213",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "11A25",
  MRnumber =     "1369150",
  MRreviewer =   "Andrew Granville",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/88/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:MER,
  author =       "J. M. Borwein and A. S. Lewis and D. Noll",
  title =        "Maximum entropy reconstruction using derivative
                 information. {I}. {Fisher} information and convex
                 duality",
  journal =      j-MATH-OP-RES,
  volume =       "21",
  number =       "2",
  pages =        "442--468",
  year =         "1996",
  CODEN =        "MOREDQ",
  DOI =          "https://doi.org/10.1287/moor.21.2.442",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C48 (49N15)",
  MRnumber =     "1397223",
  MRreviewer =   "Vaithilingam Jeyakumar",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/82/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:MSE,
  author =       "Jonathan Borwein and Peter B. Borwein and Roland
                 Girgensohn and S. Parnes",
  title =        "Making sense of experimental mathematics",
  journal =      j-MATH-INTEL,
  volume =       "18",
  number =       "4",
  pages =        "12--18",
  month =        "Fall",
  year =         "1996",
  CODEN =        "MAINDC",
  DOI =          "https://doi.org/10.1007/BF03026747",
  ISSN =         "0343-6993 (print), 1866-7414 (electronic)",
  ISSN-L =       "0343-6993",
  MRclass =      "00A35",
  MRnumber =     "1413248",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/98/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Mathematical Intelligencer",
  journal-URL =  "http://link.springer.com/journal/283",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "This entry appears to be contained in
                 \cite{Octavio:1996:IT}. Is it a separate paper??",
}

@TechReport{Borwein:1996:NSE,
  author =       "Jonathan M. Borwein and Warren B. Moors",
  title =        "Null sets and essentially smooth {Lipschitz}
                 functions",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "22",
  day =          "4",
  month =        jun,
  year =         "1996",
  bibdate =      "Wed Aug 31 15:13:13 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1998:NSE}.",
  URL =          "http://docserver.carma.newcastle.edu.au/162/",
  abstract =     "In this paper we extend the notion of a Lebesgue-null
                 set to a notion which is valid in any completely
                 metrizable Abelian topological group. We then use this
                 definition to introduce and study the class of
                 essentially smooth functions. These are, roughly
                 speaking, those Lipschitz functions which are smooth
                 (in each direction) almost everywhere.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Revised January 17th 1997.",
}

@Article{Borwein:1996:PAS,
  author =       "Jonathan M. Borwein and Alexander Ioffe",
  title =        "Proximal analysis in smooth spaces",
  journal =      j-SET-VALUED-ANAL,
  volume =       "4",
  number =       "1",
  pages =        "1--24",
  year =         "1996",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1007/BF00419371",
  ISSN =         "0927-6947 (print), 1572-932x (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "49J52 (46N10 58C20)",
  MRnumber =     "1384247",
  MRreviewer =   "Philip D. Loewen",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/61/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:PSR,
  author =       "Jonathan M. Borwein",
  title =        "Problems and Solutions: Revivals: 10281",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "103",
  number =       "10",
  pages =        "911--912",
  year =         "1996",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1542929",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://links.jstor.org/sici?sici=0002-9890(199612)103:10<911:1>2.0.CO%3B2-5&origin=MSN",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1996:PSS,
  author =       "Jonathan M. Borwein and Donald A. Darling and D. B.
                 Tyler",
  title =        "Problems and Solutions: Solutions: 10281",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "103",
  number =       "2",
  pages =        "181--183",
  year =         "1996",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2975121",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1542802",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1996:SRZ,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "{Srinivasa Ramanujan und die Zahl Pi}. ({German})
                 [{Srinivasa Ramanujan} and the number $ \pi $]",
  crossref =     "Faltings:1996:MM",
  pages =        "60--68",
  year =         "1996",
  bibdate =      "Fri Aug 12 14:57:29 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Reprint of \cite{Borwein:1988:RP}.",
  URL =          "http://docserver.carma.newcastle.edu.au/1379/;
                 https://web.archive.org/web/20170227063951/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  language =     "German",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxtitle =      "{Ramanujan} and {Pi}",
}

@Article{Borwein:1996:SSA,
  author =       "Jonathan Borwein and David Bradley",
  title =        "Searching Symbolically for {Ap{\'e}ry}-like Formulae
                 for Values of the {Riemann} Zeta Function",
  journal =      j-SIGSAM,
  volume =       "30",
  number =       "2",
  pages =        "2--7",
  month =        jun,
  year =         "1996",
  CODEN =        "SIGSBZ",
  DOI =          "https://doi.org/10.1145/235699.235700",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Aug 10 12:08:56 2016",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/sigsam.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/170/;
                 http://doi.acm.org/10.1145/235699.235700",
  abstract =     "We discuss some aspects of the search for identities
                 using computer algebra and symbolic methods. To keep
                 the discussion as concrete as possible, we shall focus
                 on so-called Ap{\'e}ry-like formulae for special values
                 of the Riemann Zeta function. Many of these results are
                 apparently new, and much more work needs to be done
                 before they can be formally proved and properly
                 classified. A first step in this direction can be found
                 in [1].",
  acknowledgement = ack-nhfb,
  acmid =        "235700",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "Centre for Exp. and Constructive Math., Simon Fraser
                 Univ., Burnaby, BC, Canada",
  fjournal =     "SIGSAM Bulletin (ACM Special Interest Group on
                 Symbolic and Algebraic Manipulation)",
  issue =        "116",
  issue-date =   "June 1996",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J1000",
  keywords =     "algebra; Apery-like formulae; computer; formal proof;
                 functions; Riemann Zeta function; special values;
                 symbol manipulation; symbolic methods",
  numpages =     "6",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Borwein:1996:VSV,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "Viscosity solutions and viscosity subderivatives in
                 smooth {Banach} spaces with applications to metric
                 regularity",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "34",
  number =       "5",
  pages =        "1568--1591",
  year =         "1996",
  CODEN =        "SJCODE",
  DOI =          "https://doi.org/10.1137/S0363012994268801",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "49L25 (49J52 49N10)",
  MRnumber =     "1404847",
  MRreviewer =   "Abderrahim Jourani",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/80/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1996:WOM,
  author =       "Jonathan M. Borwein and Peter B. Borwein and Robert M.
                 Corless and Loki J{\"o}rgenson and Nathalie Sinclair",
  title =        "What is organic mathematics?",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "20",
  day =          "24",
  month =        apr,
  year =         "1996",
  bibdate =      "Wed Aug 31 14:53:22 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1997:WOM}.",
  URL =          "http://docserver.carma.newcastle.edu.au/157/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "No abstract in report",
}

@Article{Octavio:1996:IT,
  author =       "Alfredo Octavio and Jonathan Borwein and Peter B.
                 Borwein and Roland Girgensohn and S. Parnes",
  title =        "The ``indexed'' theorem",
  journal =      j-MATH-INTEL,
  volume =       "18",
  number =       "4",
  pages =        "9--18",
  month =        sep,
  year =         "1996",
  CODEN =        "MAINDC",
  DOI =          "https://doi.org/10.1007/bf03026747",
  ISSN =         "0343-6993 (print), 1866-7414 (electronic)",
  ISSN-L =       "0343-6993",
  bibdate =      "Thu Aug 11 09:28:04 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Mathematical Intelligencer",
  journal-URL =  "http://link.springer.com/journal/283",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Bailey:1997:KC,
  author =       "David H. Bailey and Jonathan M. Borwein and Richard E.
                 Crandall",
  title =        "On the {Khintchine} constant",
  journal =      j-MATH-COMPUT,
  volume =       "66",
  number =       "217",
  pages =        "417--431",
  year =         "1997",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.1090/S0025-5718-97-00800-4",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "11Y60 (11K50 11Y65)",
  MRnumber =     "1377659",
  MRreviewer =   "T. Mets{\"a}nkyl{\"a}",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1997MaCom..66..417B;
                 http://docserver.carma.newcastle.edu.au/102/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Bailey:1997:QP,
  author =       "David H. Bailey and Jonathan M. Borwein and Peter B.
                 Borwein and Simon Plouffe",
  title =        "The quest for pi",
  journal =      j-MATH-INTEL,
  volume =       "19",
  number =       "1",
  pages =        "50--57",
  year =         "1997",
  CODEN =        "MAINDC",
  DOI =          "https://doi.org/10.1007/BF03024340",
  ISSN =         "0343-6993 (print), 1866-7414 (electronic)",
  ISSN-L =       "0343-6993",
  MRclass =      "01A99",
  MRnumber =     "1439159",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/164/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Mathematical Intelligencer",
  journal-URL =  "http://link.springer.com/journal/283",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@InProceedings{Bailey:1997:RME,
  author =       "D. H. Bailey and J. M. Borwein and P. B. Borwein",
  title =        "{Ramanujan}, modular equations, and approximations to
                 pi or {How} to compute one billion digits of pi
                 [{MR0991866} (90d:11143)]",
  crossref =     "Borwein:1997:OMP",
  pages =        "35--71",
  year =         "1997",
  ISSN =         "0731-1036",
  ISSN-L =       "0731-1036",
  MRclass =      "11Y60 (01A60 11F03 33E20)",
  MRnumber =     "1483913",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/pi.bib",
  note =         "Reprint of \cite{Borwein:1989:RME}.",
  series =       "CMS Conference Proceedings",
  URL =          "http://docserver.carma.newcastle.edu.au/1587/;
                 http://www.cecm.sfu.ca/organics/papers/borwein/index.html;
                 https://web.archive.org/web/20170328083101/",
  abstract =     "The article underlying our contribution started life
                 in 1986 when David Bailey and Jon and Peter B. Borwein
                 began to write separate pieces on ``Pi and its
                 computation'' for the MAA Monthly. With urging from
                 Herb Wilf (the then editor) the authors joined forces
                 and a joint paper issued forth that was published in
                 1989. Since 1989, while the computers have continued to
                 improve and the computation of has continued unabated,
                 the underlying mathematical and computational
                 techniques being employed are still much as described
                 in the printed piece.\par

                 We opted to use this article as our contribution to
                 Organic Mathematics for several reasons: it is
                 reasonably accessible; it clearly allows for
                 ``enhancement''; it was complete as a written piece and
                 so allowed us to concentrate on the key issues
                 underlying the larger project. Moreover, it tells a
                 3,000 year story touching many themes (from
                 transcendence theory, to elliptic functions, and the
                 Fast Fourier Transform) and involving many great
                 thinkers (Archimedes, Newton, Gauss, Euler, Ramanujan,
                 Von Neumann, Hilbert). In sum then we felt that the
                 article provided an exellent test-bed to try out what
                 would work in a multi-modal mathematical
                 environment.\par

                 A project like this presents several challenges for the
                 mathematician as multi-media author. First, the
                 technology is changing so quickly that tools uninvented
                 when the project began are sure to be obsolete before
                 it is finished. Second, it involves a super-highway to
                 be sure but one running through terra incognita. At
                 many levels one must balance the issues of form and
                 function, speed and scope. The version presently before
                 you looks little like the one of six months ago ---
                 small changes to the interface can greatly enhance or
                 reduce readability.\par

                 The opportunities are great. Within this article, you
                 will see the bust of Ramanujan. You can read quotes
                 from many sources and see part of the original
                 documents from Hermite, Shanks, von Neumann and others.
                 You may use ``lattice basis reduction'' over the Web;
                 plot and compute many fascinating functions. If you
                 want to try more examples the opportunities will be
                 there.\par

                 On the down side, you may plunge off into secondary
                 links and get lost coming back. You may find the
                 plethora of hypertext links and options distracting,
                 and the present limitations of using Maple over the
                 Internet frustrating.\par

                 Our hope is that this article and this collection will
                 play some role in limning the possibilities and
                 flagging the pot-holes of trying to use these new tools
                 to engage, educate and excite students, users and
                 producers of mathematics.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  book-URL =     "http://www.cecm.sfu.ca/organics",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@InCollection{Bauschke:1997:CSC,
  author =       "H. H. Bauschke and J. M. Borwein and A. S. Lewis",
  editor =       "Yair Censor and Simeon Reich",
  booktitle =    "Recent Developments in Optimization Theory and
                 Nonlinear Analysis",
  title =        "Convex sets and the cyclic projection algorithm",
  volume =       "204",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "1--38",
  year =         "1997",
  bibdate =      "Mon Aug 15 14:42:36 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Contemporary Mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Bauschke:1997:LFM,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  title =        "{Legendre} functions and the method of random
                 {Bregman} projections",
  journal =      j-J-CONVEX-ANAL,
  volume =       "4",
  number =       "1",
  pages =        "27--67",
  year =         "1997",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "49M45 (65K10 90C25)",
  MRnumber =     "1459881",
  MRreviewer =   "Alfredo N. Iusem",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/96/;
                 http://www.heldermann-verlag.de/jca/jca04/jca04002.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@InCollection{Bauschke:1997:MCP,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein and Adrian
                 S. Lewis",
  booktitle =    "Recent developments in optimization theory and
                 nonlinear analysis ({Jerusalem}, 1995)",
  title =        "The method of cyclic projections for closed convex
                 sets in {Hilbert} space",
  volume =       "204",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "1--38",
  year =         "1997",
  DOI =          "https://doi.org/10.1090/conm/204/02620",
  MRclass =      "49M45 (47H99 47N10 65F10 90C25)",
  MRnumber =     "1442992",
  MRreviewer =   "Alfredo N. Iusem",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Contemp. Math.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@TechReport{Bauschke:1997:SCH,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein and Wu Li",
  title =        "Strong conical hull intersection property, bounded
                 linear regularity, {Jameson}'s property ({$G$}), and
                 error bounds in convex optimization",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "30",
  day =          "26",
  month =        sep,
  year =         "1997",
  bibdate =      "Thu Sep 01 07:28:55 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/195",
  abstract =     "The strong conical hull intersection property and
                 bounded linear regularity are properties of a
                 collection of finitely many closed convex intersecting
                 sets in Euclidean space. These fundamental notions
                 occur in various branches of convex optimization
                 (constrained approximation, convex feasibility
                 problems, linear inequalities, for instance). It is
                 shown that the standard constraint qualification from
                 convex analysis implies bounded linear regularity,
                 which in turn yields the strong conical hull
                 intersection property. Jameson's duality for two cones,
                 which relates bounded linear regularity to property
                 (G), is re-derived and refined. For polyhedral cones, a
                 statement dual to Hoffman's error bound result is
                 obtained. A sharpening of a result on error bounds for
                 convex inequalities by Auslender and Crouzeix is
                 presented. Finally, for two subspaces, property (G) is
                 quantified by the angle between the subspaces.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1997:ADE,
  author =       "J. M. Borwein and F. G. Garvan",
  title =        "Approximations to $ \pi $ via the {Dedekind} eta
                 function",
  crossref =     "Borwein:1997:OMP",
  pages =        "89--115",
  year =         "1997",
  MRclass =      "11F20 (11Y60)",
  MRnumber =     "1483915",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "CMS Conf. Proc.",
  URL =          "http://docserver.carma.newcastle.edu.au/158/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1997:AGMa,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "The Arithmetic--Geometric Mean and Fast Computation of
                 Elementary Functions",
  crossref =     "Berggren:1997:PSB",
  pages =        "537--552",
  year =         "1997",
  DOI =          "https://doi.org/10.1007/978-1-4757-2736-4_56",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Reprint of \cite{Borwein:1984:AGM}.",
  URL =          "http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_56",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:AGMb,
  author =       "Jonathan A. Borwein and Petr Lison{\v{e}}k and John A.
                 Macdonald",
  title =        "Arithmetic--Geometric Means Revisited",
  journal =      j-MAPLE-TECH-NEWS,
  volume =       "4",
  number =       "1",
  pages =        "20--27",
  month =        "Winter",
  year =         "1997",
  ISSN =         "1061-5733",
  ISSN-L =       "1061-5733",
  bibdate =      "Wed Jul 23 09:11:50 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-tech.bib",
  note =         "Special issue on Maple in the mathematical sciences.",
  URL =          "http://docserver.carma.newcastle.edu.au/4/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Maple technical newsletter",
  journal-URL =  "http://web.mit.edu/maple/www/plibrary/mtn.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1997:AIR,
  author =       "Jonathan M. Borwein and Petr Lison{\v{e}}k",
  title =        "Applications of integer relation algorithms",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  day =          "18",
  month =        nov,
  year =         "1997",
  bibdate =      "Thu Sep 01 07:39:40 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2000:AIR}.",
  URL =          "http://docserver.carma.newcastle.edu.au/198",
  abstract =     "Let $a$ be a vector of real numbers. By an integer
                 relation for $a$ we mean a non-zero integer vector $c$
                 such that $ c a^T = 0$. We discuss the algorithms for
                 finding such integer relations from the user's point of
                 view, by presenting examples of their applications and
                 by reviewing the available software implementations.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Submitted to the Proceedings of the 9th International
                 Conference on Formal Power Series and Algebraic
                 Combinatorics (FPSAC'97), July 1997, Vienna, Austria,
                 to appear as a special issue of Discrete Mathematics.",
}

@InProceedings{Borwein:1997:APD,
  author =       "J. M. Borwein and F. Garvan",
  editor =       "????",
  booktitle =    "Organic Mathematics Proceedings, {12 April 1996}",
  title =        "Approximating Pi with the {Dedekind} eta function",
  publisher =    "????",
  address =      "????",
  pages =        "??--??",
  year =         "1997",
  ISSN =         "0731-1036",
  bibdate =      "Mon Aug 15 14:37:48 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.cecm.sfu.ca/organics",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1997:CAM,
  author =       "Jonathan M. Borwein and David M. Bradley and David J.
                 Broadhurst and Petr Lison{\v{e}}k",
  title =        "Combinatorial aspects of multiple zeta values",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "12",
  day =          "31",
  month =        jul,
  year =         "1997",
  bibdate =      "Thu Sep 01 07:55:12 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/201/",
  abstract =     "Multiple zeta values (MZVs, also called Euler sums or
                 multiple harmonic series) are nested generalizations of
                 the classical Riemann zeta function evaluated at
                 integer values. The fact that an integral
                 representation of MZVs obeys a shuffle product rule
                 allows the possibility of a combinatorial approach to
                 them. Using this approach we prove a longstanding
                 conjecture of Don Zagier about MZVs with certain
                 repeated arguments. We also prove a similar cyclic sum
                 identity. Finally, we present extensive computational
                 evidence supporting an infinite family of conjectured
                 MZV identities that simultaneously generalize the
                 Zagier identity.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:CBS,
  author =       "Jon Borwein and Marian Fabian and Jon Vanderwerff",
  title =        "Characterizations of {Banach} spaces via convex and
                 other locally {Lipschitz} functions",
  journal =      "Acta Mathematica Vietnamica",
  volume =       "22",
  number =       "1",
  pages =        "53--69",
  year =         "1997",
  ISSN =         "0251-4184 (print), 2315-4144 (electronic)",
  ISSN-L =       "0251-4184",
  MRclass =      "46B20 (46G99 52A41)",
  MRnumber =     "1479738",
  MRreviewer =   "Warren B. Moors",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Special edition in honour of Huang Tuy's seventieth
                 birthday.",
  URL =          "http://docserver.carma.newcastle.edu.au/179/",
  abstract =     "Various properties of Banach spaces, including the
                 reflexivity and the Schur property of a space, are
                 characterized in terms of properties of corresponding
                 classes of locally Lipschitz functions on those
                 spaces.",
  acknowledgement = ack-nhfb,
  ajournal =     "Acta Math. Vietnam.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Acta Mathematica Vietnamica",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:CFB,
  author =       "Jon Borwein and Jon Vanderwerff",
  title =        "Convex functions on {Banach} spaces not containing $
                 l_1 $",
  journal =      j-CAN-MATH-BULL,
  volume =       "40",
  number =       "1",
  pages =        "10--18",
  year =         "1997",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1997-002-1",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "46B20 (46A55 46G05 46N10 52A41)",
  MRnumber =     "1443721",
  MRreviewer =   "Li Xin Cheng",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1532/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1997:CHP,
  author =       "J. M. Borwein and R. Girgensohn and Xianfu Wang",
  title =        "On the construction of {H{\"o}lder} and proximal
                 subderivatives",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "13",
  day =          "14",
  month =        mar,
  year =         "1997",
  bibdate =      "Thu Sep 01 06:39:15 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1998:CHP}.",
  URL =          "http://docserver.carma.newcastle.edu.au/186/",
  abstract =     "We construct Lipschitz functions such that for all $ s
                 > 0 $ they are s-H{\o}lder, and so proximally,
                 subdifferentiable only on dyadic rationals and nowhere
                 else. As applications we construct Lipschitz functions
                 with prescribed Holder and approximate
                 subderivatives.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:DDF,
  author =       "J. M. Borwein and Xianfu Wang",
  title =        "Distinct differentiable functions may share the same
                 {Clarke} subdifferential at all points",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "125",
  number =       "3",
  pages =        "807--813",
  year =         "1997",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-97-03654-X",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "49J52 (26A16 26A24 58C20)",
  MRnumber =     "1363449",
  MRreviewer =   "Doug Ward",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/112/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:DEM,
  author =       "Jonathan Borwein and Michael Monagan",
  title =        "Differential Equations in {Maple}: a Short Tutorial",
  journal =      j-MAPLE-TECH-NEWS,
  volume =       "4",
  number =       "1",
  pages =        "55--58",
  month =        "Winter",
  year =         "1997",
  ISSN =         "1061-5733",
  ISSN-L =       "1061-5733",
  bibdate =      "Wed Jul 23 09:11:50 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-tech.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Maple technical newsletter",
  journal-URL =  "http://web.mit.edu/maple/www/plibrary/mtn.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:EDA,
  author =       "Jonathan Borwein and David Bradley",
  title =        "Empirically determined {Ap{\'e}ry}-like formulae for
                 $ \zeta (4 n + 3) $",
  journal =      j-EXP-MATH,
  volume =       "6",
  number =       "3",
  pages =        "181--194",
  year =         "1997",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/10586458.1997.10504608",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  MRclass =      "11Y60 (11M06)",
  MRnumber =     "1481588",
  MRreviewer =   "F. Beukers",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/expmath.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/163/;
                 http://projecteuclid.org/euclid.em/1047920419",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:EFE,
  author =       "Jonathan M. Borwein and David M. Bradley and David J.
                 Broadhurst",
  title =        "Evaluations of $k$-fold {Euler\slash Zagier} sums: a
                 compendium of results for arbitrary $k$",
  journal =      j-ELECT-J-COMB,
  volume =       "4",
  number =       "2",
  pages =        "Research Paper 5",
  year =         "1997",
  ISSN =         "1077-8926 (print), 1097-1440 (electronic)",
  ISSN-L =       "1077-8926",
  MRclass =      "11M41 (11Y60)",
  MRnumber =     "1444152",
  MRreviewer =   "Pavel Guerzhoy",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "The Wilf Festschrift (Philadelphia, PA, 1996).",
  URL =          "http://www.combinatorics.org/Volume_4/Abstracts/v4i2r5.html",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Electronic Journal of Combinatorics",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "21",
}

@Article{Borwein:1997:ESLa,
  author =       "Jonathan M. Borwein and Warren B. Moors",
  title =        "Essentially smooth {Lipschitz} functions",
  journal =      j-J-FUNCT-ANAL,
  volume =       "149",
  number =       "2",
  pages =        "305--351",
  year =         "1997",
  CODEN =        "JFUAAW",
  DOI =          "https://doi.org/10.1006/jfan.1997.3101",
  ISSN =         "0022-1236 (print), 1096-0783 (electronic)",
  ISSN-L =       "0022-1236",
  MRclass =      "58C20 (46G05 46N10 49J52)",
  MRnumber =     "1472362",
  MRreviewer =   "Mari{\'a}n Fabian",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/95/;
                 http://www.sciencedirect.com/science/article/pii/S0022123697931013",
  abstract =     "In this paper we address some of the most fundamental
                 questions regarding the differentiability structure of
                 locally Lipschitz functions defined on separable Banach
                 spaces. For example, we examine the relationship
                 between integrability,D-representability, and strict
                 differentiability. In addition to this, we show that on
                 any separable Banach space there is a significant
                 family of locally Lipschitz functions that are
                 integrable,D-representable and possess desirable
                 differentiability properties. We also present some
                 striking applications of our results to distance
                 functions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Functional Analysis",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00221236",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1997:ESLb,
  author =       "Jonathan M. Borwein and Warren B. Moors",
  editor =       "F. Cucker and M. Shub",
  booktitle =    "Foundations of computational mathematics ({Rio de
                 Janeiro, 1997})",
  title =        "Essentially smooth {Lipschitz} functions: compositions
                 and chain rules",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "16--22",
  year =         "1997",
  MRclass =      "49J52 (46N10 58C20)",
  MRnumber =     "1661969",
  MRreviewer =   "Mari{\'a}n Fabian",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1997:GYI,
  author =       "Jonathan M. Borwein",
  title =        "A generalization of {Young}'s $ l^p $ inequality",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "6",
  day =          "24",
  month =        jun,
  year =         "1997",
  bibdate =      "Thu Sep 01 06:48:28 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/189/",
  abstract =     "We show that, for positive real numbers with $ a \geq
                 1 + \sum_i^N \alpha_i $, the function\par

                  $$ \frac {r^a / a}{| \Prod_{i = 1}^N x_i^{\alpha_i}}
                 $$ \par

                 has a convex conjugate of the same form and so, in
                 particular, obtain a clean proof that $f$ is convex.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1997:LFM,
  author =       "Jonathan M. Borwein and Warren B. Moors",
  editor =       "B. M. Glover and D. Ralph",
  booktitle =    "{Proceedings of the Optimization Miniconference III,
                 University of Melbourne, July 1996}",
  title =        "{Lipschitz} functions with minimal {Clarke}
                 subdifferential mappings",
  publisher =    "University of Ballarat",
  address =      "Ballarat, VI, Australia",
  pages =        "5--12",
  year =         "1997",
  bibdate =      "Mon Aug 15 14:41:04 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/178/",
  abstract =     "In this paper we characterise, in terms of the upper
                 Dini derivative, when the Clarke subdifferential
                 mapping of a real-valued locally Lipschitz function is
                 a minimal weak$^\star $ cusco. We then use this
                 characterisation to deduce some new results concerning
                 Lipschitz functions with minimal subdifferential
                 mappings.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:LFP,
  author =       "Jonathan M. Borwein and Warren B. Moors and Xianfu
                 Wang",
  title =        "{Lipschitz} functions with prescribed derivatives and
                 subderivatives",
  journal =      j-NONLINEAR-ANAL,
  volume =       "29",
  number =       "1",
  pages =        "53--63",
  year =         "1997",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/S0362-546X(96)00050-8",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "49J52 (46G05 47N10 58C05)",
  MRnumber =     "1447569",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/92/;
                 http://www.sciencedirect.com/science/article/pii/S0362546X96000508",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "Clarke subgradient; differentiability; Haar-null set;
                 Lipschitz functions; maximal cyclically monotone
                 operator; minimal cusco",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Book{Borwein:1997:MIM,
  editor =       "Jonathan M. Borwein and Carolyn Watters and Ephraim J.
                 Borowski",
  title =        "{The MathResource interactive math dictionary: version
                 1.0. The math visualizing program Newton and Leibniz
                 didn't have. [An essential tool for high school,
                 college and university students, teachers, scientists,
                 engineers, researchers and anyone else who uses or
                 studies mathematics]}",
  publisher =    "MathResources, Inc.",
  address =      "Halifax, NS, Canada",
  pages =        "????",
  year =         "1997",
  ISBN =         "3-540-14650-4",
  ISBN-13 =      "978-3-540-14650-6",
  LCCN =         "????",
  bibdate =      "Tue Aug 16 09:10:33 MDT 2016",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
  URL =          "http://www.mathresources.com",
  ZMnumber =     "0884.00004",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "1997 Eddie Award for best post-secondary reference
                 software, by Education Software Review. MathProbe Media
                 \& Methods 1998 Awards Portfolio winner. LetsDoMath,
                 2000 Technology \& Learning Award Winner. Integrated
                 with MapleSoft help files in Maple 9.5.",
}

@Article{Borwein:1997:NEW,
  author =       "Jon Borwein and Michael Monagan",
  title =        "A Note from the {Editors}: Winter 1997, Vol. 4, No.
                 1",
  journal =      j-MAPLE-TECH-NEWS,
  volume =       "4",
  number =       "1",
  pages =        "1--1",
  month =        "Winter",
  year =         "1997",
  ISSN =         "1061-5733",
  ISSN-L =       "1061-5733",
  bibdate =      "Wed Jul 23 09:11:50 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-tech.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Maple technical newsletter",
  journal-URL =  "http://web.mit.edu/maple/www/plibrary/mtn.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1997:NSP,
  author =       "Jonathan M. Borwein and Alejandro Jofr{\'e}",
  title =        "A nonconvex separation property in {Banach} spaces",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "11",
  day =          "13",
  month =        nov,
  year =         "1997",
  bibdate =      "Thu Sep 01 07:36:57 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1998:NSP}.",
  URL =          "http://docserver.carma.newcastle.edu.au/197",
  abstract =     "We establish, in infinite dimensional Banach space, a
                 nonconvex separation property for general closed sets
                 that is an extension of Hahn-Banach separation theorem.
                 We provide some consequences in optimization, in
                 particular the existence of singular multipliers and
                 show the relation of our principle with the extremal
                 principle of Mordukhovich.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:OJP,
  author =       "Jonathan Borwein and Richard Smith",
  title =        "Online journal publication: two views from the
                 electronic trenches",
  journal =      "Canadian Journal of Communication",
  volume =       "22",
  number =       "??",
  pages =        "135--152",
  month =        "????",
  year =         "1997",
  DOI =          "",
  bibdate =      "Mon Aug 15 14:35:28 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://edie.cprost.sfu.ca/~scom",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Scholarly Communication in the Next Millennium, March
                 1997. Excerpted in extenso in Active Voice, the
                 national bi-monthly newsletter of the Editors'
                 Association of Canada.",
}

@InCollection{Borwein:1997:PEN,
  author =       "J. M. Borwein and P. B. Borwein and K. Dilcher",
  title =        "Pi, {Euler} Numbers, and Asymptotic Expansions",
  crossref =     "Berggren:1997:PSB",
  pages =        "642--648",
  year =         "1997",
  DOI =          "https://doi.org/10.1007/978-1-4757-2736-4_65",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1583/;
                 http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_65",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:PSS,
  author =       "David Borwein and Jonathan Borwein and
                 Heinz-J{\"u}rgen Seiffert and Robert D. Brown and Pawel
                 Szeptycki",
  title =        "Problems and Solutions: Solutions: 10335",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "104",
  number =       "1",
  pages =        "72--74",
  year =         "1997",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2974831",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1542940",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1997:RME,
  author =       "J. M. Borwein and P. B. Borwein and D. H. Bailey",
  title =        "{Ramanujan}, Modular Equations, and Approximations to
                 Pi or How to Compute One Billion Digits of Pi",
  crossref =     "Berggren:1997:PSB",
  pages =        "??--??",
  year =         "1997",
  DOI =          "https://doi.org/10.1007/978-1-4757-2736-4_64",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1587/;
                 http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_64;
                 http://www.cecm.sfu.ca/organics/papers/borwein/index.html",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:SAD,
  author =       "J. M. Borwein and W. Sun",
  title =        "The stability analysis of dynamic {SPECT} systems",
  journal =      j-NUM-MATH,
  volume =       "77",
  number =       "3",
  pages =        "283--298",
  year =         "1997",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s002110050287",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65R30 (44A12 65R20 92C55)",
  MRnumber =     "1469673",
  MRreviewer =   "Dominikus Noll",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/99/;
                 http://link.springer.com/article/10.1007/s002110050287",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Unpublished{Borwein:1997:SAR,
  author =       "Jonathan M. Borwein and Jay Treiman and Qiji Zhu",
  title =        "Sensitivity analysis in reflexive {Banach} spaces",
  month =        aug,
  year =         "1997",
  bibdate =      "Tue Aug 16 10:14:16 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Preprint.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Unpublished{Borwein:1997:SDIa,
  author =       "Jonathan M. Borwein",
  title =        "Symbolically discovered identities for ZETA(4N+3) and
                 multidimensional polylogarithms",
  day =          "31",
  month =        jul,
  year =         "1997",
  bibdate =      "Tue Aug 16 10:19:46 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Penn State Number Theory Conference, July 31--Aug 3.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1997:SDIb,
  author =       "Jonathan M. Borwein and Warren B. Moors",
  title =        "Separable determination of integrability and
                 minimality of the {Clarke} subdifferential mapping",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "10",
  day =          "30",
  month =        sep,
  year =         "1997",
  bibdate =      "Thu Sep 01 07:33:19 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2000:SDI}.",
  URL =          "http://docserver.carma.newcastle.edu.au/196",
  abstract =     "In this paper we show that the study of integrability
                 and D-representability of Lipschitz functions defined
                 on arbitrary Banach spaces reduces to the study of
                 these properties on separable Banach spaces",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1997:SRM,
  author =       "Jonathan M. Borwein and Warren B. Moors and Yongheng
                 Shao",
  title =        "Subgradient representation of multifunctions",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "14",
  day =          "21",
  month =        feb,
  year =         "1997",
  bibdate =      "Wed Aug 31 15:45:10 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1999:SRM}.",
  URL =          "http://docserver.carma.newcastle.edu.au/184/",
  abstract =     "We provide necessary and sufficient conditions for a
                 minimal upper semicontinuous multifunction defined on a
                 separable Banach space to be the subdifferential
                 mapping of a Lipschitz function.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1997:SRR,
  author =       "J. M. Borwein and E. Wong",
  editor =       "L. Vinet",
  booktitle =    "Advances in mathematical sciences: {CRM}'s 25 years
                 ({Montreal}, {PQ}, 1994)",
  title =        "A survey of results relating to {Giuga}'s conjecture
                 on primality",
  volume =       "11",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "13--27",
  year =         "1997",
  MRclass =      "11A51 (11Y11)",
  MRnumber =     "1479668",
  MRreviewer =   "Andrew Granville",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "CRM Proc. Lecture Notes",
  URL =          "http://docserver.carma.newcastle.edu.au/101/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1997:VAN,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "Variational analysis in nonreflexive spaces and
                 applications to control problems with {$ L^1 $}
                 perturbations",
  journal =      j-NONLINEAR-ANAL,
  volume =       "28",
  number =       "5",
  pages =        "889--915",
  year =         "1997",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/0362-546X(95)00186-Y",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "49K40",
  MRnumber =     "1422192",
  MRreviewer =   "Vera Zeidan",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/78/;
                 http://www.sciencedirect.com/science/article/pii/0362546X9500186Y",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "Weak-Hadamard sub-derivatives;
                 Clarke-subdifferentials; control system;
                 $G$-subdifferentials; H{\"o}lder sub-derivatives;
                 infinite horizon problems; sensitivity analysis; smooth
                 renorms; variational principles",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:1997:WOM,
  author =       "Jonathan M. Borwein and Peter B. Borwein and Robert M.
                 Corless and Loki J{\"o}rgenson and Nathalie Sinclair",
  title =        "What is organic mathematics?",
  crossref =     "Borwein:1997:OMP",
  pages =        "1--18",
  year =         "1997",
  ISSN =         "0731-1036",
  ISSN-L =       "0731-1036",
  MRclass =      "00A99 (00A30 01A99)",
  MRnumber =     "1483911",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "CMS/AMS Conference Proceedings",
  URL =          "http://docserver.carma.newcastle.edu.au/157/;
                 http://www.cecm.sfu.ca/organics",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Galvin:1997:PSP,
  author =       "Fred Galvin and Franz Rothe and Wen-Xiu Ma and Dan
                 Sachelarie and Vlad Sachelarie and Yury J. Ionin and
                 Robin R. Lewis and Joseph Rosenblatt and Jonathan M.
                 Borwein and C. G. Pinner",
  title =        "Problems and Solutions: Problems: 10599--10605",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "104",
  number =       "6",
  pages =        "566--567",
  year =         "1997",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2975086",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1543038",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Bauschke:1998:COM,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  title =        "Conical open mapping theorems and regularity",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "14",
  day =          "10",
  month =        nov,
  year =         "1998",
  bibdate =      "Thu Sep 01 08:35:40 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Bauschke:1999:COM}.",
  URL =          "http://docserver.carma.newcastle.edu.au/208/",
  abstract =     "Suppose $T$ is a continuous linear operator between
                 two Hilbert spaces $X$ and $Y$ and let $K$ be a closed
                 convex nonempty cone in $X$. We investigate the
                 possible existence of $ \delta > 0$ such that $ \delta
                 B_Y \cap T(K) \subseteq T(B_X \cap K)$, where $ B_X$, $
                 B_Y$ denote the closed unit balls in $X$ and $Y$
                 respectively. This property, which we call openness
                 relative to $K$, is a generalization of the classical
                 openness of linear operators. We relate relative
                 openness to Jameson's property (G), to the strong
                 conical hull intersection property, to bounded linear
                 regularity, and to metric regularity. Our results allow
                 a simple construction of two closed convex cones that
                 have the strong conical hull intersection property but
                 fail to be boundedly linearly regular.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Bauschke:1998:MRS,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein and Paul
                 Tseng",
  title =        "Metric regularity, strong {CHIP}, and {CHIP} are
                 distinct properties",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "17",
  day =          "20",
  month =        jul,
  year =         "1998",
  MRclass =      "90C25 (46C05, 52A15, 52A20)",
  bibdate =      "Thu Sep 01 08:17:03 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/204",
  abstract =     "Metric regularity, the strong conical hull
                 intersection property (strong CHIP), and the conical
                 hull intersection property (CHIP) are properties of a
                 collection of finitely many closed convex intersecting
                 sets in Euclidean space. It was shown recently that
                 these properties are fundamental in several branches of
                 convex optimization, including convex feasibility
                 problems, error bounds, Fenchel duality, and
                 constrained approximation. It was known that regularity
                 implies strong CHIP, which in turn implies CHIP;
                 moreover, the three properties always hold for
                 subspaces. The question whether or not converse
                 implications are true for general convex sets was
                 open.\par

                 We show that --- even for convex cones --- the converse
                 implications need not hold by constructing
                 counter-examples in $ \mathbb {R}^4 $.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:BHS,
  author =       "Jonathan M. Borwein",
  title =        "{Brouwer--Heyting} sequences converge",
  journal =      j-MATH-INTEL,
  volume =       "20",
  number =       "1",
  pages =        "14--15",
  year =         "1998",
  CODEN =        "MAINDC",
  DOI =          "https://doi.org/10.1007/BF03024393",
  ISSN =         "0343-6993 (print), 1866-7414 (electronic)",
  ISSN-L =       "0343-6993",
  MRclass =      "11A63",
  MRnumber =     "1601815",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Mathematical Intelligencer",
  journal-URL =  "http://link.springer.com/journal/283",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:CAMa,
  author =       "Jonathan M. Borwein and David M. Bradley and David J.
                 Broadhurst and Petr Lison{\v{e}}k",
  title =        "Combinatorial aspects of multiple zeta values",
  journal =      "ArXiv Mathematics e-prints",
  month =        dec,
  year =         "1998",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1998math.....12020B;
                 http://docserver.carma.newcastle.edu.au/201/",
  abstract =     "Multiple zeta values (MZVs, also called Euler sums or
                 multiple harmonic series) are nested generalizations of
                 the classical Riemann zeta function evaluated at
                 integer values. The fact that an integral
                 representation of MZVs obeys a shuffle product rule
                 allows the possibility of a combinatorial approach to
                 them. Using this approach we prove a longstanding
                 conjecture of Don Zagier about MZVs with certain
                 repeated arguments. We also prove a similar cyclic sum
                 identity. Finally, we present extensive computational
                 evidence supporting an infinite family of conjectured
                 MZV identities that simultaneously generalize the
                 Zagier identity.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "math/9812020",
  keywords =     "Number Theory, Combinatorics, Numerical Analysis,
                 05A19, 11M99, 68R15 (Primary) 11Y99 (Secondary)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:CAMb,
  author =       "Jonathan M. Borwein and David M. Bradley and David J.
                 Broadhurst and Petr Lison{\v{e}}k",
  title =        "Combinatorial aspects of multiple zeta values",
  journal =      j-ELECT-J-COMB,
  volume =       "5",
  pages =        "Research Paper 38",
  year =         "1998",
  ISSN =         "1077-8926 (print), 1097-1440 (electronic)",
  ISSN-L =       "1077-8926",
  MRclass =      "11M41 (05A19 11Y60)",
  MRnumber =     "1637378",
  MRreviewer =   "Jerzy Browkin",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/201/;
                 http://www.combinatorics.org/Volume_5/Abstracts/v5i1r38.html",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Electronic Journal of Combinatorics",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "12",
}

@TechReport{Borwein:1998:CDA,
  author =       "Jonathan M. Borwein and Pierre Mar{\'e}chal and David
                 Naugler",
  title =        "A convex dual approach to the computation of {NMR}
                 complex spectra",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "14",
  day =          "10",
  month =        nov,
  year =         "1998",
  bibdate =      "Thu Sep 01 08:31:11 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2000:CDA}.",
  URL =          "http://docserver.carma.newcastle.edu.au/207/",
  abstract =     "The particular entropy method proposed by Hoch {\em et
                 al.} [7] for the computation of NMR complex spectra
                 allows an elegant application of the concepts of
                 duality theory. Correspondingly, duality theory casts
                 new light on their choice of entropy. The purpose of
                 this paper is to present the relevant theoretical
                 developments together with some numerical
                 illustrations.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "convex duality; Entropy optimization; nuclear magnetic
                 resonance; spectral analysis",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:CHP,
  author =       "J. M. Borwein and R. Girgensohn and Xianfu Wang",
  title =        "On the construction of {H{\"o}lder} and proximal
                 subderivatives",
  journal =      j-CAN-MATH-BULL,
  volume =       "41",
  number =       "4",
  pages =        "497--507",
  year =         "1998",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1998-065-9",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "49J52 (26A16 26A24)",
  MRnumber =     "1658271",
  MRreviewer =   "Lionel Thibault",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/186/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:CML,
  author =       "David Borwein and Jonathan M. Borwein and Christopher
                 Pinner",
  title =        "Convergence of {Madelung}-like lattice sums",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "350",
  number =       "8",
  pages =        "3131--3167",
  month =        aug,
  year =         "1998",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.1090/S0002-9947-98-01983-7",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "11P21 (11M41 11Z05 30B50 40A05)",
  MRnumber =     "1433111",
  MRreviewer =   "Hartmut Menzer",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/104/;
                 http://www.jstor.org/stable/117772",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:CMV,
  author =       "J. M. Borwein and Xianfu Wang",
  title =        "The converse of the mean value theorem may fail
                 generically",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "105",
  number =       "9",
  pages =        "847--848",
  month =        nov,
  year =         "1998",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2589216",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "26A24",
  MRnumber =     "1650850",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1530/;
                 http://www.jstor.org/stable/2589216",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:CRE,
  author =       "Jonathan M. Borwein and Warren B. Moors",
  title =        "A chain rule for essentially smooth {Lipschitz}
                 functions",
  journal =      j-SIAM-J-OPT,
  volume =       "8",
  number =       "2",
  pages =        "300--308",
  year =         "1998",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S1052623496297838",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "49J52 (46N10 58C20)",
  MRnumber =     "1618794",
  MRreviewer =   "John R. Giles",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/151/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1998:CSR,
  author =       "Jonathan M. Borwein and David M. Bradley and Richard
                 E. Crandall",
  title =        "Computational Strategies for the {Riemann} Zeta
                 Function",
  type =         "Report",
  number =       "CECM-98-118",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "68",
  day =          "30",
  month =        oct,
  year =         "1998",
  bibdate =      "Mon Oct 24 11:29:15 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Published in \cite{Borwein:2000:CSR}.",
  URL =          "http://docserver.carma.newcastle.edu.au/211;
                 http://people.reed.edu/~crandall/papers/attach01.pdf",
  abstract =     "We provide a compendium of evaluation methods for the
                 Riemann zeta function, presenting formulae ranging from
                 historical attempts to recently found convergent series
                 to curious oddities old and new. We concentrate
                 primarily on practical computational issues, such
                 issues depending on the domain of the argument, the
                 desired speed of computation, and the incidence of what
                 we call ``value recycling.''",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August 2016);
                 Richard Eugene Crandall (29 December 1947--20 December
                 2012)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1998:DIS,
  author =       "J. M. Borwein and S. P. Fitzpatrick",
  title =        "Duality inequalities and sandwiched functions",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "15",
  day =          "8",
  month =        jul,
  year =         "1998",
  MRclass =      "49J52, 90C25 (26B25, 46N10, 47H10, 52A41)",
  bibdate =      "Thu Sep 01 08:12:48 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/204",
  abstract =     "We establish a mixed convex-Lipschitz mean value
                 inequality from which recent results of Clarke and
                 Ledyaev and of Lewis and Ralph follow naturally. We
                 also provide various refinements and extensions.
                 Finally, we answer affirmatively several open questions
                 on the existence of ``squeeze'' theorems for a finite
                 number of Lipschitz functions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Ekeland variational principle; Fenchel duality;
                 mean-value inequalities; Nonconvex separation; sandwich
                 theorem; Schauder fixed point theorem",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:DRDa,
  author =       "Jonathan M. Borwein and David J. Broadhurst",
  title =        "Determinations of rational {Dedekind}-zeta invariants
                 of hyperbolic manifolds and {Feynman} knots and links",
  journal =      "ArXiv High Energy Physics --- Theory e-prints",
  month =        nov,
  year =         "1998",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1998hep.th...11173B;
                 http://arxiv.org/abs/hep-th/9811173;
                 http://docserver.carma.newcastle.edu.au/213/",
  abstract =     "We identify 998 closed hyperbolic 3-manifolds whose
                 volumes are rationally related to Dedekind zeta values,
                 with coprime integers $a$ and $b$ giving $ a / {\rm
                 bvol}(M) = ( - D)^{3 / 2} / (2 \pi)^{2n - 4}
                 (\zeta_K(2)) / (2 \zeta (2))$ for a manifold $M$ whose
                 invariant trace field $K$ has a single complex place,
                 discriminant $D$, degree $n$, and Dedekind zeta value $
                 \zeta_K(2)$. The largest numerator of the 998
                 invariants of Hodgson--Weeks manifolds is,
                 astoundingly, $ a = 2^4 \times 23 \times 37 \times 691
                 = 9 \, 408 \, 656$; the largest denominator is merely $
                 b = 9$. We also study the rational invariant $ a / b$
                 for single-complex-place cusped manifolds,
                 complementary to knots and links, both within and
                 beyond the Hildebrand-Weeks census. Within the censi,
                 we identify 152 distinct Dedekind zetas rationally
                 related to volumes. Moreover, 91 census manifolds have
                 volumes reducible to pairs of these zeta values.
                 Motivated by studies of Feynman diagrams, we find a
                 10-component 24-crossing link in the case $ n = 2$ and
                 $ D = - 20$. It is one of 5 alternating platonic links,
                 the other 4 being quartic. For 8 of 10 quadratic fields
                 distinguished by rational relations between Dedekind
                 zeta values and volumes of Feynman orthoschemes, we
                 find corresponding links. Feynman links with $ D = -
                 39$ and $ D = - 84$ are missing; we expect them to be
                 as beautiful as the 8 drawn here. Dedekind-zeta
                 invariants are obtained for knots from Feynman diagrams
                 with up to 11 loops. We identify a sextic 18-crossing
                 positive Feynman knot whose rational invariant, $ a / b
                 = 26$, is 390 times that of the cubic 16-crossing
                 non-alternating knot with maximal $ D_9$ symmetry. Our
                 results are secure, numerically, yet appear very hard
                 to prove by analysis.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "hep-th/9811173",
  keywords =     "High Energy Physics - Theory, Mathematics - Classical
                 Analysis and ODEs, Mathematics - Geometric Topology,
                 Mathematics - Number Theory",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1998:DRDb,
  author =       "Jonathan M. Borwein and David J. Broadhurst",
  title =        "Determinations of rational {Dedekind}-zeta invariants
                 of hyperbolic manifolds and {Feynman} knots and links",
  type =         "CECM Preprint",
  number =       "CECM-98-120, OUT-4102-76, hep-th/9811173",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "53",
  month =        nov,
  year =         "1998",
  bibdate =      "Tue Aug 16 10:14:52 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "arXiv preprint hep-th/9811173.",
  URL =          "http://docserver.carma.newcastle.edu.au/213/",
  abstract =     "We identify 998 closed hyperbolic 3-manifolds whose
                 volumes are rationally related to Dedekind zeta values,
                 with coprime integers $a$ and $b$ giving\par

                  $$ \frac {a}{b} \mathrm {vol}(\mathcal {M}) = \frac {(
                 - D)^{3 / 2}}{(2 \pi)^{2 n - 4}} \frac {\zeta_K(2)}{2
                 \zeta (2)} $$ \par

                 for a manifold $M$ whose invariant trace field $K$ has
                 a single complex place, discriminant $D$, degree $n$,
                 and Dedekind zeta value $ \zeta_K(2)$. The largest
                 numerator of the 998 invariants of Hodgson-Weeks
                 manifolds is, astoundingly, $ a = 2^4 \times 23 \times
                 37 \times 691 = 9, 408, 656$; the largest denominator
                 is merely $ b = 9$. We also study the rational
                 invariant $ a / b$ for single-complex-place cusped
                 manifolds, complementary to knots and links, both
                 within and beyond the Hildebrand-Weeks census. Within
                 the censi, we identify 152 distinct Dedekind zetas
                 rationally related to volumes. Moreover, 91 census
                 manifolds have volumes reducible to pairs of these zeta
                 values. Motivated by studies of Feynman diagrams, we
                 find a 10-component 24-crossing link in the case $ n =
                 2$ and $ D = - 20$. It is one of 5 alternating platonic
                 links, the other 4 being quartic. For 8 of 10 quadratic
                 fields distinguished by rational relations between
                 Dedekind zeta values and volumes of Feynman
                 orthoschemes, we find corresponding links. Feynman
                 links with $ D = - 39$ and $ D = - 84$ are missing; we
                 expect them to be as beautiful as the 8 drawn here.
                 Dedekind-zeta invariants are obtained for knots from
                 Feynman diagrams with up to 11 loops. We identify a
                 sextic 18-crossing positive Feynman knot whose rational
                 invariant, $ a / b = 26$, is 390 times that of the
                 cubic 16-crossing non-alternating knot with maximal $
                 D_g$ symmetry. Our results are secure, numerically, yet
                 appear very hard to prove by analysis.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1998:ETE,
  author =       "Jonathan M. Borwein and Robert M. Corless",
  title =        "Emerging tools for experimental mathematics",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "28",
  day =          "27",
  month =        nov,
  year =         "1998",
  bibdate =      "Thu Sep 01 08:05:55 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1999:ETE}.",
  URL =          "http://docserver.carma.newcastle.edu.au/203",
  abstract =     "Using mostly elementary examples, we discuss the use
                 of some recent and emerging tools for experimental
                 mathematics. The tools discussed include so-called
                 ``inverse symbolic computation'', lattice reduction
                 algorithms such as ``LLL'', and ``PSLQ'', and Sloane
                 and Plouffe's integer sequence lookup program.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:GYI,
  author =       "Jonathan M. Borwein",
  title =        "A generalization of {Young}'s $ l^p $ inequality",
  journal =      j-MATH-INEQUAL-APPL,
  volume =       "1",
  number =       "1",
  pages =        "131--136",
  year =         "1998",
  DOI =          "https://doi.org/10.7153/mia-01-11",
  ISSN =         "1331-4343 (print), 1848-9966 (electronic)",
  ISSN-L =       "1331-4343",
  MRclass =      "90C25 (26B25 52A41)",
  MRnumber =     "1492917",
  MRreviewer =   "G{\'e}rard Lebourg",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/189/",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Inequal. Appl.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Inequalities \& Applications",
  journal-URL =  "http://mia.ele-math.com/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:LCE,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "Limiting convex examples for nonconvex subdifferential
                 calculus",
  journal =      j-J-CONVEX-ANAL,
  volume =       "5",
  number =       "2",
  pages =        "221--235",
  year =         "1998",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "49J52 (26B05)",
  MRnumber =     "1670340",
  MRreviewer =   "Lionel Thibault",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/191/;
                 http://www.heldermann-verlag.de/jca/jca05/j163.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1998:LFM,
  author =       "Jonathan M. Borwein and Xianfu Wang",
  title =        "{Lipschitz} functions with maximal {Clarke}
                 subdifferentials are generic",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  day =          "11",
  month =        sep,
  year =         "1998",
  bibdate =      "Thu Sep 01 08:26:34 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2000:LFM}.",
  URL =          "http://docserver.carma.newcastle.edu.au/206/",
  abstract =     "We show that on a separable Banach space most
                 Lipschitz functions have maximal Clarke subdifferential
                 mappings. In particular, the generic nonexpansive
                 function has the dual unit ball as its Clarke
                 subdifferential at every point. Diverse corollaries are
                 given.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:MPW,
  author =       "Jonathan Borwein",
  title =        "Mathematical Publication on the {Web}",
  journal =      j-SIGSAM,
  volume =       "32",
  number =       "1",
  pages =        "4--7",
  month =        mar,
  year =         "1998",
  CODEN =        "SIGSBZ",
  DOI =          "https://doi.org/10.1145/294833.294836",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Aug 10 12:08:56 2016",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/sigsam.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/190/;
                 http://doi.acm.org/10.1145/294833.294836",
  acknowledgement = ack-nhfb,
  acmid =        "294836",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIGSAM Bulletin (ACM Special Interest Group on
                 Symbolic and Algebraic Manipulation)",
  issue =        "123",
  issue-date =   "March 1998",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J1000",
  numpages =     "4",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:NCC,
  author =       "Jonathan M. Borwein and Jay S. Treiman and Qiji J.
                 Zhu",
  title =        "Necessary conditions for constrained optimization
                 problems with semicontinuous and continuous data",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "350",
  number =       "6",
  pages =        "2409--2429",
  year =         "1998",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.1090/S0002-9947-98-01984-9",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "90C48 (49J52)",
  MRnumber =     "1433112",
  MRreviewer =   "B. Mordukhovich",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/116/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:NSE,
  author =       "Jonathan M. Borwein and Warren B. Moors",
  title =        "Null sets and essentially smooth {Lipschitz}
                 functions",
  journal =      j-SIAM-J-OPT,
  volume =       "8",
  number =       "2",
  pages =        "309--323",
  year =         "1998",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S1052623496305213",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "49J52 (46N10 58C20)",
  MRnumber =     "1618798",
  MRreviewer =   "John R. Giles",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/162/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1998:NSP,
  author =       "Jonathan M. Borwein and Alejandro Jofr{\'e}",
  title =        "A nonconvex separation property in {Banach} spaces",
  journal =      j-Z-OPER-RES,
  volume =       "48",
  number =       "2",
  pages =        "169--179",
  year =         "1998",
  CODEN =        "ZMMRFZ",
  DOI =          "https://doi.org/10.1007/s001860050019",
  ISSN =         "1432-2994 (print), 1432-5217 (electronic)",
  ISSN-L =       "1432-2994",
  MRclass =      "46B20 (46A22 46N10 49J53 90C48)",
  MRnumber =     "1662819",
  MRreviewer =   "S. Simons",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Set-valued optimization.",
  URL =          "http://docserver.carma.newcastle.edu.au/197/",
  acknowledgement = ack-nhfb,
  ajournal =     "ZOR---Math. Methods Oper. Res.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Zeitschrift f{\"u}r Operations Research. Mathematical
                 Methods of Operations Research",
  journal-URL =  "http://link.springer.com/journal/186",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxjournal =    "Math. Methods Oper. Res.",
}

@Book{Borwein:1998:PAS,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "Pi and the {AGM}: A study in analytic number theory
                 and computational complexity",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xvi + 414",
  year =         "1998",
  ISBN =         "0-471-83138-7, 0-471-31515-X (paperback)",
  ISBN-13 =      "978-0-471-83138-9, 978-0-471-31515-5 (paperback)",
  MRclass =      "11Y60 (11B65 68Q25)",
  MRnumber =     "1641658",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Reprint of the 1987 original.",
  series =       "Canadian Mathematical Society Series of Monographs and
                 Advanced Texts, 4",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  shorttableofcontents = "1. Complete Elliptic Integrals and the
                 Arithmetic--Geometric Mean Iteration \\
                 2. Theta Functions and the Arithmetic--Geometric Mean
                 Iteration \\
                 3. Jacobi's Triple-Product and Some Number Theoretic
                 Applications \\
                 4. Higher Order Transformations \\
                 5. Modular Equations and Algebraic Approximations to $
                 \pi $ \\
                 6. The Complexity of Algebraic Functions \\
                 7. Algorithms for the Elementary Functions \\
                 8. General Means and Iterations \\
                 9. Some Additional Applications \\
                 10. Other Approaches to the Elementary Functions \\
                 11. Pi",
  subject =      "Number theory; Computational complexity; Elliptic
                 functions; Pi; Nombres, Th{\'e}orie des; Complexit{\'e}
                 de calcul (Informatique); Fonctions elliptiques;
                 Computational complexity; Elliptic functions; Number
                 theory; Pi; Algebraische Funktion;
                 Arithmetisch-geometrisches Mittel; Berechnung;
                 Geschichte; Pi (Zahl); Nombres, Th{\'e}orie des;
                 Complexit{\'e} de calcul (informatique); Fonctions
                 elliptiques; Pi (le nombre); Arithmetisch-geometrisches
                 Mittel; Algebraische Funktion; Pi (Zahl); Berechnung;
                 Geschichte; moyenne arithm{\'e}tique; moyenne
                 g{\'e}om{\'e}trique; it{\'e}ration; fonction
                 elliptique; complexit{\'e} calcul; th{\'e}orie nombre",
  tableofcontents = "1 Complete Elliptic Integrals and the
                 Arithmetic-Geometric Mean Iteration / 1 \\
                 1.1 The Arithmetic--Geometric Mean Iteration / 1 \\
                 1.2 Gauss's Derivation of the Fundamental Limit Formula
                 / 5 \\
                 1.3 Basic Properties of Complete Elliptic Integrals / 7
                 \\
                 1.4 Quadratic Transformations and Iterations and a
                 Third Proof of the Fundamental Limit Formula / 11 \\
                 1.5 Jacobi's Differential Equation and a Fourth Proof
                 of the Fundamental Limit Theorem / 18 \\
                 1.6 Legendre's Relation / 23 \\
                 1.7 Elliptic Functions / 28 \\
                 2 Theta Functions and the Arithmetic--Geometric Mean
                 Iteration / 33 \\
                 2.1 A Theta Series Solution to the AGM / 33 \\
                 2.2 Poisson Summation / 36 \\
                 2.3 Poisson Summation and the AGM / 40 \\
                 2.4 The Derived Iteration and Some Convergence Results
                 / 44 \\
                 2.5 Two Algorithms for 7T / 46 \\
                 2.6 General Theta Functions / 52 \\
                 2.7 The Landen Transformation / 57 \\
                 3 Jacobi's Triple-Product and Some Number Theoretic
                 Applications / 62 \\
                 3.1 Jacobi's Triple-Product Identity / 62 \\
                 3.2 Some Further Theta Function Identities / 67 \\
                 3.3 A Combinatorial Approach to the Triple-Product
                 Identity / 76 \\
                 3.4 Bressoud's ``Easy Proof'' of the Rogers--Ramanujan
                 Identities / 78 \\
                 3.5 Some Number Theoretic Applications / 81 \\
                 3.6 The Mellin Transform and the Zeta Function / 87 \\
                 3.7 Evaluation of Sums of Reciprocals of Fibonacci
                 Sequences / 91 \\
                 4 Higher Order Transformations / 102 \\
                 4.1 A First Approach to Higher Order Transformations /
                 102 \\
                 4.2 An Elementary Transcendental Approach to Higher
                 Order Transformations / 109 \\
                 4.3 Elliptic Modular Functions / 112 \\
                 4.4 The Modular Equations for $\lambda$ and $j$ / 119
                 \\
                 4.5 The Modular Equation in $u$--$v$ Form / 126 \\
                 4.6 The Multiplier / 136 \\
                 4.7 Cubic Modular Identities / 142 \\
                 5 Modular Equations and Algebraic Approximations to $
                 \pi $ / 152 \\
                 5.1 Singular Values of the Second Kind / 152 \\
                 5.2 Calculation of $\alpha$ / 155 \\
                 5.3 Further Formulae for $\alpha$ / 164 \\
                 5.4 Recursive Approximation to $ \pi $ / 169 \\
                 5.5 Generalized Elliptic Integrals and Rational and
                 Algebraic Series for $ 1 / \pi $ and $ 1 / K $ / 177
                 \\
                 5.6 Other Approximations / 191 \\
                 6 The Complexity of Algebraic Functions / 200 \\
                 6.1 Complexity Concerns / 200 \\
                 6.2 The Fast Fourier Transform (FFT) / 204 \\
                 6.3 Fast Multiplication / 209 \\
                 6.4 Newton's Method and the Complexity of Algebraic
                 Functions / 212 \\
                 7 Algorithms for the Elementary Functions / 219 \\
                 7.1 $ \pi $ and Log / 219 \\
                 7.2 Theta Function Algorithms for Log / 224 \\
                 7.3 The Complexity of Elementary and Elliptic Functions
                 / 226 \\
                 8 General Means and Iterations / 230 \\
                 8.1 Abstract Means / 230 \\
                 8.2 Equivalence of Means / 239 \\
                 8.3 Compound Means / 243 \\
                 8.4 Convergence Rates and Some Examples / 249 \\
                 8.5 Carlson's Integrals and More Examples 256 / 281 \\
                 8.6 Series Expansions of Certain Means / 263 \\
                 8.7 Multidimensional Means and Iterations / 266 \\
                 8.8 Algebraic Iterations and Functional Relations / 273
                 \\
                 9 Some Additional Applications / 281 \\
                 9.1 Sums of Two Squares / 281 \\
                 9.2 (Chemical) Lattice Sums / 288 \\
                 9.3 Odd-Dimensional Sums and Benson's Formula / 301 \\
                 9.4 The Quintuple-Product Identity / 306 \\
                 9.5 Quintic and Septic Multipliers and Iterations / 309
                 \\
                 10 Other Approaches to the Elementary Functions / 316
                 \\
                 10.1 Classical Approximations / 316 \\
                 10.2 Reduced Complexity Methods / 326 \\
                 11 Pi / 337 \\
                 11.1 On the History of the Calculation of $ \pi $ / 337
                 \\
                 11.2 On the Transcendence of $ \pi $ / 347 \\
                 11.3 Irrationality Measures / 362 \\
                 Bibliography / 387 \\
                 Symbol List / 396 \\
                 Index / 405",
}

@TechReport{Borwein:1998:R,
  author =       "Jonathan Borwein and Kwok-Kwong Stephen Choi",
  title =        "On the representations of $ x y + y z + z x $",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "8",
  year =         "1998",
  bibdate =      "Thu Sep 01 08:48:35 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/212",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Undated, but PDF file metadata has
                 98:119-Borwein-Choi.dvi. No abstract",
}

@TechReport{Borwein:1998:SVM,
  author =       "Jonathan M. Borwein and David M. Bradley and David J.
                 Broadhurst and Petr Lison{\v{e}}k",
  title =        "Special Values of Multiple Polylogarithms",
  type =         "CECM Research Report",
  number =       "98-106",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "45",
  day =          "14",
  month =        may,
  year =         "1998",
  bibdate =      "Thu Sep 01 07:48:47 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/200",
  abstract =     "Historically, the polylogarithm has attracted
                 specialists and non-specialists alike with its lovely
                 evaluations. Much the same can be said for Euler sums
                 (or multiple harmonic sums), which, within the past
                 decade, have arisen in combinatorics, knot theory and
                 high-energy physics. More recently, we have been forced
                 to consider multidimensional extensions encompassing
                 the classical polylogarithm, Euler sums, and the
                 Riemann zeta function. Here, we provide a general
                 framework within which previously isolated results can
                 now be properly understood. Applying the theory
                 developed herein, we prove several previously
                 conjectured evaluations, including a longstanding
                 conjecture of Don Zagier.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Unpublished{Borwein:1998:TAP,
  author =       "Jonathan Borwein",
  title =        "Talking about Pi",
  day =          "20",
  month =        jan,
  year =         "1998",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/pi.bib",
  note =         "The original URL is no longer found, but the archive
                 URL worked on 26-Apr-2011.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Marechal:1998:APR,
  author =       "P. Marechal and D. Togane and A. Celler and J. M.
                 Borwein",
  booktitle =    "{1998 IEEE Nuclear Science Symposium. Conference
                 Record. Toronto, ON, Canada, November 8--14, 1998}",
  title =        "Assessment of the performance of reconstruction
                 processes for computed tomography",
  volume =       "2",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "1353--1357",
  year =         "1998",
  DOI =          "https://doi.org/10.1109/NSSMIC.1998.774404",
  ISSN =         "1082-3654",
  ISSN-L =       "1082-3654",
  bibdate =      "Fri Aug 12 11:41:45 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1529/",
  abstract =     "This paper deals with the assessment of the
                 performance of reconstruction methods for computed
                 tomography, including filtered backprojection and
                 `entropy-like' methods. For each of these methods, the
                 influence of errors in the measured data on the
                 reconstructed image is analyzed. A small perturbation
                 of the data vector induces a perturbation of the
                 reconstructed object which can be computed by means of
                 the sensitivity matrix. Using appropriate matrix
                 computation techniques, an upper bound on the size of
                 the reconstruction error is determined, as well as the
                 pattern of noise in the sinogram that will result in
                 the largest reconstruction error. Simulations will
                 illustrate our analysis and demonstrate its utility in
                 the interpretation of computed images and in the
                 selection of reconstruction parameters",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Attenuation; computed tomography; Computed tomography;
                 computerised tomography; Convolution; data vector;
                 entropy-like methods; filtered backprojection; Image
                 analysis; image reconstruction; Image reconstruction;
                 image reconstruction processes; Integral equations;
                 interpolation; inverse problems; Inverse problems;
                 iterative methods; Mathematics; matrix computation
                 techniques; maximum entropy methods; medical image
                 processing; pattern of noise; performance assessment;
                 positron emission tomography; Radon transforms;
                 Radon-type inverse problem; reconstruction error size;
                 reconstruction parameters selection; regularization
                 scheme; sensitivity analysis; sensitivity matrix;
                 singular value decomposition; sinogram; small
                 perturbation; Transforms; upper bound; X-ray
                 scattering",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Bauschke:1999:COM,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  editor =       "J. Giles and B. Ninness",
  booktitle =    "{Proceedings of the Centre for Mathematics and its
                 Applications (Australian National University) National
                 Symposium on Functional Analysis, Optimization and
                 Applications, March 1998}",
  title =        "Conical open mapping theorems and regularity",
  volume =       "36",
  publisher =    "????",
  address =      "????",
  pages =        "1--10",
  year =         "1999",
  bibdate =      "Mon Aug 15 14:33:16 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/208/",
  abstract =     "Suppose $T$ is a continuous linear operator between
                 two Hilbert spaces $X$ and $Y$ and let $K$ be a closed
                 convex nonempty cone in $X$. We investigate the
                 possible existence of $ \delta > 0$ such that $ \delta
                 B_Y \cap T(K) \subseteq T(B_X \cap K)$, where $ B_X$, $
                 B_Y$ denote the closed unit balls in $X$ and $Y$
                 respectively. This property, which we call openness
                 relative to $K$, is a generalization of the classical
                 openness of linear operators. We relate relative
                 openness to Jameson's property (G), to the strong
                 conical hull intersection property, to bounded linear
                 regularity, and to metric regularity. Our results allow
                 a simple construction of two closed convex cones that
                 have the strong conical hull intersection property but
                 fail to be boundedly linearly regular.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "Preprint PDF file of 14 pages is dated 10-Nov-1998.",
}

@Article{Bauschke:1999:EAD,
  author =       "Heinz H. Bauschke and Dominikus Noll and Anna Celler
                 and Jonathan M. Borwein",
  title =        "An {EM} algorithm for dynamic {SPECT}",
  journal =      j-IEEE-TRANS-MED-IMAG,
  volume =       "18",
  number =       "3",
  pages =        "252--261",
  month =        mar,
  year =         "1999",
  CODEN =        "ITMID4",
  DOI =          "https://doi.org/10.1109/42.764899",
  ISSN =         "0278-0062 (print), 1558-254x (electronic)",
  ISSN-L =       "0278-0062",
  bibdate =      "Wed Aug 10 12:08:56 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/187;
                 http://www.ncbi.nlm.nih.gov/pubmed/10363703",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "IEEE Transactions on Medical Imaging",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=42",
  keywords =     "Algorithms; arbitrary decaying activities; Cameras;
                 compartmental modeling; Computed tomography; dynamic
                 SPECT; EM algorithm; exponentials sum; Face detection;
                 Head; Heuristic algorithms; Humans; Instruments; M
                 step; medical diagnostic imaging; Models, Statistical;
                 Nuclear medicine; nuclear medicine; numerical tests;
                 Pharmaceuticals; physiological models; Positron
                 emission tomography; Reproducibility of Results; single
                 photon emission computed tomography; Single photon
                 emission computed tomography; Tomography,
                 Emission-Computed, Single-Photon; underlying
                 probabilistic models",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "Preprint is 19 pages, and titled \booktitle{An EM
                 algorithm for dynamic SPECT tomography}.",
}

@Article{Bauschke:1999:MMD,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  title =        "Maximal monotonicity of dense type, local maximal
                 monotonicity, and monotonicity of the conjugate are all
                 the same for continuous linear operators",
  journal =      j-PAC-J-MATH,
  volume =       "189",
  number =       "1",
  pages =        "1--20",
  year =         "1999",
  CODEN =        "PJMAAI",
  DOI =          "https://doi.org/10.2140/pjm.1999.189.1",
  ISSN =         "0030-8730 (print), 1945-5844 (electronic)",
  ISSN-L =       "0030-8730",
  MRclass =      "47H05 (47B99 49J52)",
  MRnumber =     "1687802",
  MRreviewer =   "Pando Georgiev",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/180/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Pacific Journal of Mathematics",
  journal-URL =  "http://msp.org/pjm",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Bauschke:1999:SCH,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein and Wu Li",
  title =        "Strong conical hull intersection property, bounded
                 linear regularity, {Jameson}'s property {$ (G) $}, and
                 error bounds in convex optimization",
  journal =      j-MATH-PROG,
  volume =       "86",
  number =       "1, Ser. A",
  pages =        "135--160",
  year =         "1999",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s101070050083",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C46 (41A29 90C31)",
  MRnumber =     "1712477",
  MRreviewer =   "Charles K. Chui",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/195/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CECM Research Report 98:107.",
}

@Book{Borowski:1999:DMa,
  author =       "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein",
  title =        "Dictionary of mathematics",
  publisher =    "Unwin Hyman",
  address =      "London, UK",
  pages =        "660",
  year =         "1999",
  ISBN =         "0-261-67198-7",
  ISBN-13 =      "978-0-261-67198-0",
  LCCN =         "????",
  bibdate =      "Tue Aug 16 09:03:32 MDT 2016",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject =      "Mathematics; Dictionaries",
}

@Book{Borowski:1999:DMb,
  author =       "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein",
  title =        "Dictionary of mathematics",
  publisher =    pub-HARPERCOLLINS,
  address =      pub-HARPERCOLLINS:adr,
  pages =        "672",
  year =         "1999",
  ISBN =         "0-00-434347-6 (paperback)",
  ISBN-13 =      "978-0-00-434347-1 (paperback)",
  LCCN =         "????",
  bibdate =      "Mon Oct 23 07:36:34 MDT 2017",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "This dictionary of mathematics contains over 9,000
                 definitions and 400 diagrams and covers subjects such
                 as abstract analysis; number theory; topology; vectors;
                 differential equations and more.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Originally published in \cite{Borowski:1988:DM}.",
  subject =      "Mathematics; Dictionaries; Mathematics.",
}

@TechReport{Borwein:1999:CEL,
  author =       "Jonathan Borwein and Yves Lucet and Boris
                 Mordukhovich",
  title =        "Compactly epi-{Lipschitzian} convex sets and functions
                 in normed spaces",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "20",
  day =          "9",
  month =        jun,
  year =         "1999",
  bibdate =      "Thu Sep 01 08:42:56 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2000:CEL}.",
  URL =          "http://docserver.carma.newcastle.edu.au/210/",
  abstract =     "We provide several characterizations of compact
                 epi-Lipschitzness for closed convex sets in normed
                 vector spaces. In particular, we show that a closed
                 convex set is compactly epi-Lipschitzian if and only if
                 it has nonempty relative interior, finite codimension,
                 and spans a closed subspace.\par

                 Next, we establish that all boundary points of
                 compactly epi-Lipschitzian sets are proper support
                 points. We provide the corresponding results for
                 functions hy using inf-convolutions and the Legendre
                 Fenchel transform. We also give an application to
                 constrained optimization with compactly
                 epi-Lipschitzian data via a generalized Slater
                 condition involving relative interiors.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1999:CSFa,
  author =       "Jonathan M. Borwein and John Read and Adrian S. Lewis
                 and Qiji Zhu",
  title =        "Convex spectral functions of compact operators",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "27",
  day =          "10",
  month =        mar,
  year =         "1999",
  bibdate =      "Thu Sep 01 10:08:54 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2000:CSF}.",
  abstract =     "We consider functions on the space of compact
                 self-adjoint Hilbert space operators. Specifically, we
                 study those extended-real functions which depend only
                 on the operators' spectral sequences. Examples include
                 the norms of the Schatten $p$-spaces, the Calder{\'e}n
                 norms, the $k$'th largest eigenvalue, and some
                 infinite-dimensional self-concordant barriers. We show
                 how various convex and nonsmooth-analytic properties of
                 such functions follow from the corresponding properties
                 of the restrictions to the space of diagonal operators,
                 and we derive subdifferential and conjugacy formulas.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1999:CSFb,
  author =       "Jonathan M. Borwein and Adrian S. Lewis and Qiji J.
                 Zhu",
  title =        "Convex spectral functions of compact operators, {Part
                 II}: {Lower} semicontinuity and rearrangement
                 invariance",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "18",
  year =         "1999",
  MRclass =      "49J52, 47B10",
  bibdate =      "Thu Sep 01 10:33:31 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/251/",
  abstract =     "It was shown in Part I of this work that the Gateaux
                 differentiability of a convex unitarily invariant
                 function is characterized by that of a similar induced
                 rearrangement invariant function on the corresponding
                 spectral space. A natural question is then whether this
                 is also the case for Fr{\'e}chet differentibility. In
                 this paper we show the answer is positive. Although the
                 result appears very natural, the proof turns out to be
                 quite technically involved.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Convex spectral functions; differentiability;
                 rearrangement invariant functions",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1999:ESB,
  author =       "Jonathan M. Borwein and Boris S. Mordukhovich and
                 Yongheng Shao",
  title =        "On the Equivalence of Some Basic Principles in
                 Variational Analysis",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "229",
  number =       "1",
  pages =        "228--257",
  year =         "1999",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1006/jmaa.1998.6157",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "49J52 (46N10)",
  MRnumber =     "1664320",
  MRreviewer =   "Abderrahim Jourani",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/192/;
                 http://www.sciencedirect.com/science/article/pii/S0022247X98961571",
  abstract =     "The primary goal of this paper is to study
                 relationships between certain basic principles of
                 variational analysis and its applications to nonsmooth
                 calculus and optimization. Considering a broad class of
                 Banach spaces admitting smooth renorms with respect to
                 some bornology, we establish an equivalence between
                 useful versions of a smooth variational principle for
                 lower semicontinuous functions, an extremal principle
                 for nonconvex sets, and an enhanced fuzzy sum rule
                 formulated in terms of viscosity normals and
                 subgradients with controlled ranks. Further refinements
                 of the equivalence result are obtained in the case of a
                 Fr{\'e}chet differentiable norm. Based on the new
                 enhanced sum rule, we provide a simplified proof for
                 the refined sequential description of approximate
                 normals and subgradients in smooth spaces.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  keywords =     "fuzzy calculus; generalized differentiation; Nonsmooth
                 analysis; smooth Banach spaces; variational and
                 extremal principles; viscosity normals and
                 subdifferentials",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1999:ETE,
  author =       "Jonathan M. Borwein and Robert M. Corless",
  title =        "Emerging tools for experimental mathematics",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "106",
  number =       "10",
  pages =        "889--909",
  year =         "1999",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2589743",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "68W30 (00A05 11Yxx)",
  MRnumber =     "1732501",
  MRreviewer =   "Michael M. Dediu",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/203/;
                 http://www.jstor.org/stable/2589743",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Research Report 98:110.",
}

@TechReport{Borwein:1999:GSBa,
  author =       "Jonathan M. Borwein and Warren B. Moors and Xianfu
                 Wang",
  title =        "Generalized subdifferentials: a {Baire} categorical
                 approach",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "19",
  day =          "8",
  month =        mar,
  year =         "1999",
  bibdate =      "Thu Sep 01 10:00:12 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2001:GSB}.",
  abstract =     "We use Baire categorical arguments to construct
                 pathological locally Lipschitz functions. The origins
                 of this approach can be traced back to Banach and
                 Mazurkiewicz (1931) who independently used similar
                 categorical arguments to show that ``almost every
                 continuous real-valued function defined on [0,1] is
                 nowhere differentiable''. As with the results of Banach
                 and Mazurkiewicz, it appears that it is easier to show
                 that almost every function possesses a certain property
                 than to construct a single concrete example. Among the
                 most striking results contained in this paper are:
                 Almost every 1-Lipschitz function defined on a Banach
                 space has a Clarke subdifferential mapping that is
                 identically equal to the dual ball; if \{T-1;
                 T-2,\ldots{},T-n\} is a family of maximal cyclically
                 monotone operators defined on a Banach space X then
                 there exists a real-valued locally Lipschitz function g
                 such that partial derivative (0g)(x) =co \{T-1(x);
                 T-2(x),\ldots{},T-n(x)\} for each x is an element of X;
                 in a separable Banach space each non-empty weak*
                 compact convex subset in the dual space is identically
                 equal to the approximate subdifferential mapping of
                 some Lipschitz function and for locally Lipschitz
                 functions defined on separable spaces the notions of
                 strong and weak integrability coincide.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1999:GSBb,
  author =       "Jonathan M. Borwein and Warren B. Moors and Xianfu
                 Wang",
  title =        "Generalized subdifferentials: a {Baire} categorical
                 approach",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "6",
  day =          "15",
  month =        apr,
  year =         "1999",
  MRclass =      "49J52, 26A27",
  bibdate =      "Thu Sep 01 10:03:41 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:1999:GSBc}.",
  abstract =     "Dans ce compte rendu, nous decrivons comment utiliser
                 des arguments de type cat{\'e}gorie de Baire pour
                 construire certaines fonctions localement Lipschitz
                 pathologiques. Les origines de cette approche remontent
                 a Banach et Mazurkiewicz (1931) qui, de mani{\'e}re
                 ind{\'e}pendante, utilis{\'e}rent une approche
                 semblable pour mon- trer que ``presque toutes les
                 fonctions r{\'e}lles continues d{\'e}finies sur [0,1]
                 sont nulle part diff{\'e}rentiables''. Comme dans les
                 r{\'e}sultats de Banach et Mazurkiewicz, il s avere qu
                 il est plus facile de montrer que presque toutes les
                 fonctions possedent une certaine pro- pri{\'e}t{\'e}
                 que de construire un seul exemple concret. Apres une
                 description du cadre de base de la construction,
                 l'article continue en donnant de nombreuses
                 applications. Parmis les r{\'e}sultats les plus
                 surprenants, citons le suivant : ``Presque toutes les
                 fonctions 1-Lipschitz d{\'e}finies sur un espace de
                 Banach admettent une application
                 sous-dift{\'e}rentielle de Clarke qui est identiquement
                 {\'e}gale a la boule unit{\'e} dans l'espace dual.''",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Baire category; Banach spaces; differentiability;
                 subdifferentials; upper semi continuous set valued
                 map.",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1999:GSBc,
  author =       "Jonathan M. Borwein and Warren B. Moors and Xianfu
                 Wang",
  title =        "Generalized subdifferentials: a {Baire} categorical
                 approach",
  journal =      "C. R. Math. Acad. Sci. Soc. R. Can.",
  volume =       "21",
  number =       "4",
  pages =        "132--138",
  year =         "1999",
  ISSN =         "0706-1994",
  MRclass =      "49J52 (46G05 58C20)",
  MRnumber =     "1728265",
  MRreviewer =   "Mari{\'a}n Fabian",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/234/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Comptes Rendus Math{\'e}matiques de l'Acad{\'e}mie des
                 Sciences. La Soci{\'e}t{\'e} Royale du Canada.
                 Mathematical Reports of the Academy of Science. The
                 Royal Society of Canada",
  journal-URL =  "https://mr.math.ca/article/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 99:128. The journal web site has no
                 online archives before volume 27 (2005).",
}

@InProceedings{Borwein:1999:ITDb,
  author =       "J. M. Borwein and T. Stanway",
  editor =       "John Grant McGloughlin",
  booktitle =    "{Canadian Mathematics Education Study Group (CMESG)
                 Proceedings 1999 Annual Meeting}",
  title =        "The impact of technology on the doing of mathematics",
  publisher =    "Memorial University Press",
  address =      "St. Johns, NL, Canada",
  pages =        "3--6",
  year =         "1999",
  bibdate =      "Mon Aug 15 14:30:19 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/248/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1999:MFAa,
  author =       "Jonathan M. Borwein and Qiji J. Zhu*",
  title =        "Multifunctional and functional analytic techniques in
                 nonsmooth analysis",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "97",
  day =          "2",
  month =        nov,
  year =         "1999",
  bibdate =      "Thu Sep 01 10:44:29 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/49",
  abstract =     "These lectures center on the structure of real-valued
                 Lipschitz functions, and their generalized derivatives
                 on Banach spaces. We pay some attention to the role of
                 measure and category and will try to illustrate a
                 number of different techniques. These published notes
                 are much more detailed and comprehensive than the
                 lectures as given. Much of this development is based on
                 recent joint work with Warren Moors (Wellington) and
                 others.\par

                 The exposition will be organized around the following
                 interwoven themes.\par

                 $ \bullet $ Set-valued analysis. Minimal upper
                 semi-continuous multifunctions (`uscos and cuscos') and
                 related topological tools. Selections and
                 single-valuedness. Relations to
                 differentiability.\par

                 $ \bullet $ Measure and category as competing notions
                 of smallness: Haar null sets and generic sets in Banach
                 spaces. Other concepts of prevalence.\par

                 $ \bullet $ `Utility grade' renorming theory and its
                 application to the study of viscosity subderivatives
                 and (partially) smooth variational principles.
                 ``Fuzzy'' calculus and some equivalent
                 reformulations.\par

                 $ \bullet $ The structure of Lipschitz functions.
                 Especially the calculus of essentially smooth Lipschitz
                 functions and the vector-lattice algebra they generate.
                 Chain rules, and questions of integrability and
                 representability.\par

                 $ \bullet $ Applications to and examples of distance
                 functions. Minimality of distance functions and
                 proximal normal formulae revisited. More general
                 perturbation functions.\par

                 $ \bullet $ Convex functions and related sequences in
                 Banach space. How properties of given Banach spaces are
                 reflected in the convex functions they support.
                 Conjugates and subdifferentials of eigenvalue
                 functions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:1999:MFAb,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  editor =       "F. H. Clarke and R. J. Stern",
  booktitle =    "Nonlinear analysis, differential equations and control
                 ({Montreal, QC, 1998})",
  title =        "Multifunctional and functional analytic techniques in
                 nonsmooth analysis",
  volume =       "528",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "61--157",
  year =         "1999",
  MRclass =      "49J52 (26A16 26E25 46N10)",
  MRnumber =     "1695006",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "NATO Sci. Ser. C Math. Phys. Sci.",
  URL =          "http://docserver.carma.newcastle.edu.au/49/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1999:NCMb,
  author =       "J. M. Borwein and T. Stanway",
  title =        "Numerical and computational mathematics (at the
                 undergraduate level)",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "22",
  day =          "31",
  month =        aug,
  year =         "1999",
  bibdate =      "Thu Sep 01 10:18:27 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2000:NCMa}.",
  abstract =     "We present an argument for including numerical and
                 computational methods in the undergraduate mathematics
                 curriculum. The argument is supported by presenting a
                 number of specific examples; some fairly elementary and
                 some less elementary. We conclude by inviting the
                 reader to reflect on the impact that experimental
                 mathematics might have on the undergraduate curriculum
                 and we offer a final example which serendipitously
                 presented itself during the late stages of preparing
                 this paper.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1999:PSS,
  author =       "Jonathan M. Borwein and C. G. Pinner and David
                 Bradley",
  title =        "Problems and Solutions: Solutions: An Infinite
                 Product: 10605",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "106",
  number =       "2",
  pages =        "173--174",
  year =         "1999",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2589069",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1543419",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1999:PSVa,
  author =       "Jonathan M. Borwein and Jay S. Treiman and Qiji J.
                 Zhu",
  title =        "Partially smooth variational principles and
                 applications",
  journal =      j-NONLINEAR-ANAL,
  volume =       "35",
  number =       "8",
  pages =        "1031--1059",
  year =         "1999",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/S0362-546X(98)00113-8",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "49J53 (46T20 47H99)",
  MRnumber =     "1707806",
  MRreviewer =   "B. Mordukhovich",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/182/;
                 http://www.sciencedirect.com/science/article/pii/S0362546X98001138",
  abstract =     "We discuss a smooth variational principle for
                 partially smooth viscosity subdifferentials and explore
                 its applications in nonsmooth analysis.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "Fuzzy sum rules; Mean value inequalities and partially
                 smooth spaces; Smooth variational principle",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:1999:SM,
  author =       "D. Borwein and J. M. Borwein and P. Mar{\'e}chal",
  title =        "Surprise maximization",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "16",
  day =          "25",
  month =        jul,
  year =         "1999",
  bibdate =      "Thu Sep 01 08:38:24 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2000:SM}.",
  URL =          "http://docserver.carma.newcastle.edu.au/209/",
  abstract =     "The Surprise Examination or Unexpected Hanging Paradox
                 has long fascinated mathematicians and philosophers, as
                 the number of publications devoted to it attests. For
                 an exhaustive bibliography on the subject, see [1]. We
                 examine and solve the optimization problems arising
                 from an information theoretic avoidance of the Paradox.
                 These problems provide a very satisfactory application
                 of both the Kuhn-Tucker theory and of various classical
                 inequalities and estimation techniques. We assume some
                 elementary knowledge of optimization but recall the
                 necessary convex analytic concepts in the course of the
                 paper. Readers unfamiliar with this background may
                 simply skip a couple of proofs and a few technical
                 details.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1999:SRM,
  author =       "Jonathan M. Borwein and Warren B. Moors and Yongheng
                 Shao",
  title =        "Subgradient representation of multifunctions",
  journal =      j-J-AUSTRAL-MATH-SOC-SER-B,
  volume =       "40",
  number =       "3",
  pages =        "301--313",
  month =        jan,
  year =         "1999",
  CODEN =        "JAMMDU",
  DOI =          "https://doi.org/10.1017/S0334270000010924",
  ISSN =         "0334-2700",
  ISSN-L =       "0334-2700",
  MRclass =      "49J52 (47H04)",
  MRnumber =     "1674589",
  MRreviewer =   "Constantin Z{\u{a}}linescu",
  bibdate =      "Fri Sep 30 10:53:26 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/anziamj.bib",
  note =         "Volume in honour of B. Craven and B. Mond.",
  URL =          "http://docserver.carma.newcastle.edu.au/184/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3964380;
                 https://www.cambridge.org/core/journals/anziam-journal/article/subgradient-representation-of-multifunctions/A035439B7CEE8FBA04EAD6EB6888CDDB",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Austral Math. Soc. Ser. B",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the Australian Mathematical Society. Series
                 B, Applied Mathematics",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
  onlinedate =   "17 February 2009",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1999:SSC,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "A survey of subdifferential calculus with
                 applications",
  journal =      j-NONLINEAR-ANAL,
  volume =       "38",
  number =       "6",
  pages =        "687--773",
  year =         "1999",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/S0362-546X(98)00142-4",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "49J52 (46G05 46N10 49-02 49J53 58C05)",
  MRnumber =     "1710152",
  MRreviewer =   "Philip D. Loewen",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Dedicated to Francis Clarke on the occasion of his
                 fiftieth birthday and the twenty-fifth birthday of the
                 Clarke generalized gradient. See addendum
                 \cite{Borwein:2002:ASS}.",
  URL =          "http://docserver.carma.newcastle.edu.au/199/;
                 http://www.sciencedirect.com/science/article/pii/S0362546X98001424",
  abstract =     "This survey is an account of the current status of
                 subdifferential research. It is intended to serve as an
                 entry point for researchers and graduate students in a
                 wide variety of pure and applied analysis areas who
                 might profitably use subdifferentials as tools.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "Coderivative calculus; Constrained optimization
                 problems; Generalized gradients; Geometric
                 subdifferential; Hamilton--Jacobi equations; Implicit
                 function theorems; Limiting coderivatives; Limiting
                 subdifferentials; Mean value inequalities; Mean value
                 theorems; Metric regularity; Open mapping; Proximal
                 subdifferential; Sensitivity; Smooth spaces;
                 Subdifferential calculus; Viscosity solutions;
                 Viscosity subdifferential",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Research Report 98:105.",
}

@TechReport{Borwein:1999:STC,
  author =       "J. M. Borwein and X. Wang",
  title =        "Subdifferentiability of typical continuous functions",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "10",
  day =          "13",
  month =        aug,
  year =         "1999",
  bibdate =      "Thu Sep 01 10:11:30 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2001:STC}.",
  URL =          "http://docserver.carma.newcastle.edu.au/241/",
  abstract =     "We prove a ``typical'' subdifferentiability principle
                 and apply it to a variety of complete metric spaces of
                 continuous functions on separable Banach spaces; so as
                 to obtain existence of functions with maximal
                 subdifferentials when ordered by inclusion. The
                 relationship between continuous functions with maximal
                 subdifferentials and nowhere monotone functions is
                 discussed.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:1999:SVM,
  author =       "Jonathan M. Borwein and David M. Bradley and David J.
                 Broadhurst and Petr Lison{\v{e}}k",
  title =        "Special Values of Multiple Polylogarithms",
  journal =      "ArXiv Mathematics e-prints",
  month =        oct,
  year =         "1999",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1999math.....10045B;
                 http://docserver.carma.newcastle.edu.au/200/",
  abstract =     "Historically, the polylogarithm has attracted
                 specialists and non-specialists alike with its lovely
                 evaluations. Much the same can be said for Euler sums
                 (or multiple harmonic sums), which, within the past
                 decade, have arisen in combinatorics, knot theory and
                 high-energy physics. More recently, we have been forced
                 to consider multidimensional extensions encompassing
                 the classical polylogarithm, Euler sums, and the
                 Riemann zeta function. Here, we provide a general
                 framework within which previously isolated results can
                 now be properly understood. Applying the theory
                 developed herein, we prove several previously
                 conjectured evaluations, including an intriguing
                 conjecture of Don Zagier.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "math/9910045",
  keywords =     "Mathematics - Classical Analysis and ODEs, Mathematics
                 - Combinatorics, 40B05, 33E20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Marechal:1999:CSA,
  author =       "P. Marechal and D. Togane and A. Celler and J. M.
                 Borwein",
  title =        "Computation and stability analysis for regularized
                 tomographic reconstructions",
  journal =      j-IEEE-TRANS-NUCL-SCI,
  volume =       "46",
  pages =        "2177--2184",
  month =        dec,
  year =         "1999",
  CODEN =        "IRNSAM",
  DOI =          "https://doi.org/10.1109/23.819301",
  ISSN =         "0018-9499 (print), 1558-1578 (electronic)",
  ISSN-L =       "0018-9499",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1999ITNS...46.2177M",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "IEEE Transactions on Nuclear Science",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=23",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Bailey:199x:KC,
  author =       "David H. Bailey and Jonathan M. Borwein and Richard E.
                 Crandall",
  title =        "On the {Khintchine} constant",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "19",
  year =         "199x",
  bibdate =      "Wed Aug 31 08:55:14 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
  note =         "Published in \cite{Bailey:1997:KC}",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Undated.",
}

@TechReport{Borwein:199x:SCF,
  author =       "Jonathan M. Borwein and Jon D. Vanderwerff",
  title =        "A Survey of Convex Functions and Sequential
                 Convergence",
  institution =  "Faculty of Computer Science, Dalhousie University",
  address =      "Halifax, NS, B3H2W5 Canada",
  pages =        "1--10",
  year =         "199x",
  bibdate =      "Mon Aug 29 17:09:33 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://carma.newcastle.edu.au/jon/Preprints/Books/CUP/CUPold/convsurvey.pdf",
  abstract =     "Study various properties of convex functions related
                 to sequential convergence.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "10",
  remark =       "Undated: same URL as \cite{Borwein:1990:SDPa}, but PDF
                 file matches the title in this entry.",
}

@TechReport{Borwein:19xx:ASW,
  author =       "Jonathan Borwein and Lou Shitou",
  title =        "Asymptotics of a Sequence of {Witt} Vectors",
  type =         "Report",
  institution =  "Department of Mathematics, Statistics and Computing
                 Science, Dalhousie University",
  address =      "Halifax, NS B3H 3J5, Canada",
  pages =        "13",
  year =         "19xx",
  bibdate =      "Fri Nov 11 07:09:34 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We provide asymptotic and order information about the
                 Witt vectors and integers $ d_n $ appearing in $
                 \Prod_{n \geq 1} (1 / (1 + d_n t^n / n!)) = (1 - t) e^t
                 $.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Undated report. The second author also appears in
                 journal databases with family name Lou, and personal
                 name Shi-Tuo.",
}

@TechReport{Borwein:19xx:CFF,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the Complexity of Familiar Functions and Numbers",
  type =         "Report",
  institution =  "Department of Mathematics, Statistics and Computing
                 Science, Dalhousie University",
  address =      "Halifax, NS B3H 3J5, Canada",
  pages =        "30",
  year =         "19xx",
  MRclass =      "6BC25, 41A30, 1OA30",
  bibdate =      "Fri Nov 11 07:08:04 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "This paper examines low-complexity approximations to
                 familiar functions and numbers. The intent is to
                 suggest that a taxonomy of such functions and numbers
                 based on their computational complexity is possible. A
                 central theme is that traditional methods of
                 approximation are often very far from optimal, while
                 good or optimal methods are often very far from obvious
                 For most functions provably optimal methods are not
                 known, however the gap between what is known and what
                 is possible is often small. A considerable number of
                 open problems are posed and a number of related
                 examples are presented.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "$\pi$; algebraic approximation; computation of digits;
                 Elementary functions; low complexity approximation;
                 open problems; rational approximation; reduced
                 complexity approximation",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Undated report",
}

@Unpublished{Borwein:19xx:EIG,
  author =       "Jonathan M. Borwein",
  title =        "Elliptic Integrals and the {Gauss--Salamin} formula
                 for $ \pi $",
  pages =        "16",
  year =         "19xx",
  bibdate =      "Mon Nov 07 07:04:34 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Unpublished hand-written lecture slides at Dalhousie
                 University. The slides are undated, and the 10
                 references on the final slides include a reference to
                 E. Salamin (1976) and to P. Backmann's 1977 book
                 \booktitle{A History of Pi}.",
  abstract =     "$ \pi $ was first used by W. Jones (1703) as \emph{pi}
                 (short for periphery). Euler (1733) first popularized
                 it as a replacement for $p$ or $c$.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Unpublished{Borwein:19xx:EMI,
  author =       "Jonathan M. Borwein and Peter B. Borwein and Roland
                 Girgensohn and S. Parnes",
  title =        "Experimental mathematical investigation of decimal and
                 continued fraction expansions of select constants",
  year =         "19xx",
  bibdate =      "Thu Aug 11 09:30:52 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Unpublished.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Cited in \cite{Octavio:1996:IT}.",
}

@TechReport{Borwein:19xx:MI,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the Mean Iteration $ (a, b) \leftarrow ((a + 3 b) /
                 4, (\sqrt {ab} + b) / 2) $",
  type =         "Report",
  institution =  "Department of Mathematics, Statistics and Computing
                 Science, Dalhousie University",
  address =      "Halifax, NS B3H 3J5, Canada",
  pages =        "39",
  year =         "19xx",
  bibdate =      "Fri Nov 11 07:10:57 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "The iterative process $ a_{n + 1} = (a_n + 3 b_n) / 4
                 $, $ b_{n + 1} = (\sqrt {a_n b_n} + b_n) / 2 $ is
                 studied in detail. The limit of this quadratically
                 converging process is explicitly identified, as are the
                 uniformizing parameters. The role of symbolic
                 computation, in discovering these non-trivial
                 identifications, is highlighted.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Undated report",
}

@TechReport{Borwein:19xx:PCT,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "Pi and its computation: a twenty-two hundred year
                 quest continues: why it is now possible to calculate a
                 billion digits of pi",
  type =         "Report",
  institution =  "Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "21",
  year =         "19xx",
  bibdate =      "Mon Nov 07 07:01:20 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Undated typeset manuscript intended for
                 \booktitle{Scientific American}, but never published.
                 The latest reference is to a 1987 book.",
  abstract =     "Classical mathematics of Gauss, Ramanujan, and others
                 combines the modern theory of algorithms to
                 dramatically improve our understanding of this ancient
                 problem.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "This paper must have been written between 1987 and
                 1997, and before the discovery of the BBP algorithm
                 \cite{Bailey:1997:RCV}, because the last paragraph
                 says: ``It is also reasonable to speculate that
                 computing the $n$-th digit of $ \pi $ is not very much
                 easier than computing all the first $n$ digits. We
                 think it very probable that computing the $n$-th digit
                 of $ \pi $ cannot be of a lower order than
                 multiplication. As a consequence, we conjecture that no
                 one will ever determine the $ 10^{1000}$-th decimal
                 digit of $ \pi $.",
}

@TechReport{Borwein:19xx:WMS,
  author =       "J. M. Borwein and B. Richmond",
  title =        "When is a matrix a square?",
  type =         "Research report",
  number =       "5",
  institution =  "Department of Mathematics, Dalhousie University and
                 Department of Combinatorics and Optimization,
                 University of Waterloo",
  address =      "Halifax, NS, Canada and Waterloo, ON, Canada",
  pages =        "22",
  year =         "19xx",
  bibdate =      "Mon Nov 07 17:45:04 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "Necessary and sufficient conditions for an arbitrary $
                 n \times n $ matrix to possess a $k$-th root are given
                 in terms of the associated Jordan form. These
                 characterizations are used to give asymptotic estimates
                 for the relative frequency of nilpotent matrices
                 possessing square roots. The estimates are entirely
                 combinatorial in genesis.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "asymptotic formulae; Jordan forms; partition
                 functions; square roots",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "There are only 5 references on the last page, the most
                 recent a book from 1976.",
}

@Article{Bauschke:2000:BLR,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein and Paul
                 Tseng",
  title =        "Bounded linear regularity, strong {CHIP}, and {CHIP}
                 are distinct properties",
  journal =      j-J-CONVEX-ANAL,
  volume =       "7",
  number =       "2",
  pages =        "395--412",
  year =         "2000",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "90C48 (41A65 49J53 52A15 52A20)",
  MRnumber =     "1811687",
  MRreviewer =   "Wu Li",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.heldermann.de/JCA/JCA07/JCA072/jca07020.htm",
  abstract =     "Bounded linear regularity, the strong conical hull
                 intersection property (strong CHIP), and the conical
                 hull intersection property (CHIP) are properties of a
                 collection of finitely many closed convex intersecting
                 sets in Euclidean space. It was shown recently that
                 these properties are fundamental in several branches of
                 convex optimization, including convex feasibility
                 problems, error bounds, Fenchel duality, and
                 constrained approximation. It was known that regularity
                 implies strong CHIP. which ill turn implies CHIP;
                 moreover, the three properties always hold for
                 subspaces. The question whether or not converse
                 implications are true for general convex sets was
                 open.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 98:112.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Bauschke,
                 Heinz/D-5582-2009",
  unique-id =    "Bauschke:2000:BLR",
}

@TechReport{Bauschke:2000:ESE,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein and Patrick
                 L. Combettes",
  title =        "Essential smoothness, essential strict convexity, and
                 {Legendre} functions in {Banach} spaces",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "32",
  year =         "2000",
  MRclass =      "52A41 (46G05, 46N10, 49J50, 90C25)",
  bibdate =      "Thu Sep 01 09:53:22 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Bauschke:2001:ESE}.",
  abstract =     "The classical notions of essential smoothness,
                 essential strict convexity, and Legendreness for convex
                 functions are extended from Euclidean to Banach spaces.
                 A pertinent duality theory is developed and several
                 useful characterizations are given. The proofs rely on
                 new results on the more subtle behavior of
                 subdifferentials and directional derivatives at
                 boundary points of the domain. In weak Asplund spaces,
                 a new formula allows the recovery of the
                 subdifferential from nearby gradients. Finally, it is
                 shown that every Legendre function on a reflexive
                 Banach space is zone consistent, a fundamental property
                 in the analysis of optimization algorithms based on
                 Bregman distances. Numerous illustrating examples are
                 provided.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Bregman distance; Bregman projection; coercive;
                 cofinite function; convex function of Legendre type;
                 essentially smooth; essentially strictly convex;
                 Legendre function; Schur property; Schur space;
                 subdifferential; supercoercive; weak Asplund space;
                 zone consistent.",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Bauschke:2000:JSC,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  title =        "Joint and separate convexity of the {Bregman}
                 distance",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "17",
  year =         "2000",
  bibdate =      "Thu Sep 01 09:08:34 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/227/",
  abstract =     "Algorithms involving Bregman projections for solving
                 optimization problems have been receiving much
                 attention lately. Several of these methods rely
                 crucially on the joint convexity of the Bregman
                 distance. In this note, we study joint and separate
                 convexity of Bregman distances.\par

                 To bring out the main ideas more clearly, we consider
                 first functions defined on an open interval. Our main
                 result states that the Bregman distance of a given
                 function is jointly convex if and only if the
                 reciprocal of its second derivative is concave. We
                 observe that Bregman distances induced by the two most
                 popular choices --- the energy and the
                 Boltzmann-Shannon entropy --- are limiting cases in a
                 profound sense. This result is generalized by weakening
                 assumptions on differentiability and strict
                 convexity.\par

                 We then consider general, not necessarily separable,
                 convex functions. The characterization of joint
                 convexity has a natural and beautiful analog. Finally,
                 we discuss spectral functions, where the situation is
                 less clear. Throughout, we provide numerous examples to
                 illustrate our results.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     ",convex function; Bregman distance; joint convexity;
                 separate convexity",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:2000:AGM,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "The Arithmetic--Geometric Mean and Fast Computation of
                 Elementary Functions",
  crossref =     "Berggren:2000:PSB",
  pages =        "537--552",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/978-1-4757-3240-5_56",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Reprint of \cite{Borwein:1984:AGM}.",
  URL =          "http://link.springer.com/chapter/10.1007/978-1-4757-3240-5_56",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2000:AIR,
  author =       "Jonathan M. Borwein and Petr Lison{\v{e}}k",
  title =        "Applications of integer relation algorithms",
  journal =      j-DISCRETE-MATH,
  volume =       "217",
  number =       "1--3",
  pages =        "65--82",
  year =         "2000",
  CODEN =        "DSMHA4",
  DOI =          "https://doi.org/10.1016/S0012-365X(99)00256-3",
  ISSN =         "0012-365x (print), 1872-681x (electronic)",
  ISSN-L =       "0012-365X",
  MRclass =      "65Y15 (68W99)",
  MRnumber =     "1766260",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Formal power series and algebraic combinatorics
                 (Vienna, 1997).",
  URL =          "http://docserver.carma.newcastle.edu.au/198/;
                 http://www.sciencedirect.com/science/article/pii/S0012365X99002563",
  abstract =     "Let $a$ be a vector of real numbers. By an integer
                 relation for $a$ we mean a non-zero integer vector $c$
                 such that $ c a^T = 0$. We discuss the algorithms for
                 finding such integer relations from the user's point of
                 view, by presenting examples of their applications and
                 by reviewing the available software implementations.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Discrete Mathematics",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Research Report 97:104.",
}

@TechReport{Borwein:2000:ANB,
  author =       "J. M. Borwein and M. Jim{\'e}nez-Sevilla and J. P.
                 Moreno",
  title =        "Antiproximinal norms in {Banach} spaces",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "13",
  month =        oct,
  year =         "2000",
  MRclass =      "46B20",
  bibdate =      "Thu Sep 01 09:56:52 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/233/",
  abstract =     "We prove that every Banach space containing a
                 complemented copy of $ c_0 $ has an antiproximinal body
                 for a suitable norm. If, in addition, the space is
                 separable, there is a pair of antiproximinal norms. In
                 particular, in a separable polyhedral space $X$, the
                 set of all (equivalent) norms on $X$ having an
                 isomorphic antiproximinal norm is dense. In contrast,
                 it is shown that there are no antiproximinal norms in
                 Banach spaces with the Convex Point of Continuity
                 Property (CPCP). Other questions related to the
                 existence of antiproximinal bodies are also
                 discussed.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Book{Borwein:2000:CAN,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Convex Analysis and Nonlinear Optimization",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 273",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/978-1-4757-9859-3",
  ISBN =         "0-387-98940-4",
  ISBN-13 =      "978-0-387-98940-2",
  MRclass =      "49-01 (46N10 47N10 49-02 49J53 90-01)",
  MRnumber =     "1757448",
  MRreviewer =   "John R. Giles",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Theory and examples.",
  series =       "CMS Books in Mathematics/Ouvrages de Math{\'e}matiques
                 de la SMC, 3",
  abstract =     "This book is a concise account of convex analysis, its
                 applications and extensions, for a broad audience.
                 Blurring as it does the distinctions between
                 mathematical optimization and modern analysis, the
                 elegant language of convexity and duality is
                 indispensable both in computational optimization and
                 for understanding variational properties of functions
                 and multifunctions. Primarily aimed at first-year
                 graduate students, the text consists of short,
                 self-contained sections, each followed by an extensive
                 set of exercises, many of which are guided. The book is
                 thus appropriate either as a class text or for
                 self-study.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  tableofcontents = "1: Background \\
                 1.1: Euclidean Spaces \\
                 1.2: Symmetric Matrices \\
                 2: Inequality Constraints \\
                 2.1: Optimality Conditions \\
                 2.2: Theorems of the Alternative \\
                 2.3: Max-functions \\
                 3: Fenchel Duality \\
                 3.1: Subgradients and Convex Functions \\
                 3.2: The Value Function \\
                 3.3: The Fenchel Conjugate \\
                 4: Convex Analysis \\
                 4.1: Continuity of Convex Functions \\
                 4.2: Fenchel Biconjugation \\
                 4.3: Lagrangian Duality \\
                 5: Special Cases \\
                 5.1: Polyhedral Convex Sets and Functions \\
                 5.2: Functions of Eigenvalues \\
                 5.3: Duality for Linear and Semidefinite Programming
                 \\
                 5.4: Convex Process Duality \\
                 6: Nonsmooth Optimization \\
                 6.1: Generalized Derivatives \\
                 6.2: Regularity and Strict Differentiability \\
                 6.3: Tangent Cones",
}

@TechReport{Borwein:2000:CBC,
  author =       "J. M. Borwein and J. D. Vanderwerff",
  title =        "On the continuity of biconjugate convex functions",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "10",
  year =         "2000",
  bibdate =      "Thu Sep 01 09:43:33 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2002:CBC}.",
  URL =          "http://docserver.carma.newcastle.edu.au/230/",
  abstract =     "We show that a Banach space is a Grothendieck space if
                 and only if every continuous convex function on $X$ has
                 a continuous biconjugate function on $ X**$, thus also
                 answering a question raised by S. Simons. Related
                 characterizations and examples are given.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2000:CBSa,
  author =       "Jonathan M. Borwein and David J. Broadhurst and Joel
                 Kamnitzer",
  title =        "Central Binomial Sums, Multiple {Clausen} Values and
                 Zeta Values",
  journal =      "ArXiv High Energy Physics --- Theory e-prints",
  month =        apr,
  year =         "2000",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/2000hep.th....4153B;
                 http://docserver.carma.newcastle.edu.au/243/",
  abstract =     "We find and prove relationships between Riemann zeta
                 values and central binomial sums. We also investigate
                 alternating binomial sums (also called Ap{\'e}ry sums).
                 The study of non-alternating sums leads to an
                 investigation of different types of sums which we call
                 multiple Clausen values. The study of alternating sums
                 leads to a tower of experimental results involving
                 polylogarithms in the golden ratio. In the
                 non-alternating case, there is a strong connection to
                 polylogarithms of the sixth root of unity, encountered
                 in the 3-loop Feynman diagrams of \url{hep-th/9803091}
                 and subsequently in \url{hep-ph/9910223},
                 \url{hep-ph/9910224}, \url{cond-mat/9911452} and
                 \url{hep-th/0004010}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "hep-th/0004153",
  keywords =     "High Energy Physics - Theory, Mathematics - Classical
                 Analysis and ODEs",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:2000:CBSb,
  author =       "Jonathan Michael Borwein and David J. Broadhurst and
                 Joel Kamnitzer",
  title =        "Central binomial sums, multiple {Clausen} values, and
                 zeta values",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "17",
  day =          "4",
  month =        nov,
  year =         "2000",
  bibdate =      "Thu Sep 01 10:15:29 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2001:CBS}.",
  abstract =     "We find and prove relationships between Riemann zeta
                 values and central binomial sums. We also investigate
                 alternating binomial sums (also called Ap{\'e}ry sums).
                 The study of non-alternating sums leads to an
                 investigation of different types of sums which we call
                 multiple Clausen values. The study of alternating sums
                 leads to a tower of experimental results involving
                 polylogarithms in the golden ratio.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2000:CDA,
  author =       "Jonathan M. Borwein and Pierre Mar{\'e}chal and David
                 Naugler",
  title =        "A convex dual approach to the computation of {NMR}
                 complex spectra",
  journal =      "Math. Methods Oper. Res.",
  volume =       "51",
  number =       "1",
  pages =        "91--102",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/s001860050004",
  ISSN =         "1432-2994 (print), 1432-5217 (electronic)",
  ISSN-L =       "1432-2994",
  MRclass =      "90C30",
  MRnumber =     "1742398",
  MRreviewer =   "Massimo Pappalardo",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/207/",
  abstract =     "The particular entropy method proposed by Hoch et al.
                 [7] for the computation of NMR complex spectra allows
                 an elegant application of the concepts of duality
                 theory. Correspondingly, duality theory casts new light
                 on their choice of entropy. The purpose of this paper
                 is to present the relevant theoretical developments
                 together with some numerical illustrations.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Methods of Operations Research",
  ORCID-numbers = "Naugler, David/0000-0001-5485-0498; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CECM Research Report 98:114.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2000:CDA",
}

@Article{Borwein:2000:CEL,
  author =       "Jonathan Borwein and Yves Lucet and Boris
                 Mordukhovich",
  title =        "Compactly epi-{Lipschitzian} convex sets and functions
                 in normed spaces",
  journal =      j-J-CONVEX-ANAL,
  volume =       "7",
  number =       "2",
  pages =        "375--393",
  year =         "2000",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "49J53 (46B20 46N10 90C48)",
  MRnumber =     "1811686",
  MRreviewer =   "Abderrahim Jourani",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/210/;
                 http://www.heldermann.de/JCA/JCA07/JCA072/jca07019.htm",
  abstract =     "We provide several characterizations of compact
                 epi-Lipschitzness for closed convex sets in normed
                 vector spaces. In particular, we show that a closed
                 convex set is compactly epi-Lipschitzian if and only if
                 it has nonempty relative interior, finite codimension,
                 and spans a closed subspace.\par

                 Next, we establish that all boundary points of
                 compactly epi-Lipschitzian sets are proper support
                 points. We provide the corresponding results for
                 functions hy using inf-convolutions and the Legendre
                 Fenchel transform. We also give an application to
                 constrained optimization with compactly
                 epi-Lipschitzian data via a generalized Slater
                 condition involving relative interiors.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 98:113.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2000:CEL",
}

@TechReport{Borwein:2000:CFL,
  author =       "Jonathan M. Borwein and Jon D. Vanderwerff",
  title =        "Convex functions of {Legendre} type in general
                 {Banach} spaces",
  type =         "Report",
  institution =  "Department of Mathematics, Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "14",
  year =         "2000",
  MRclass =      "46B20,46G05,49J50,52A41",
  bibdate =      "Thu Sep 01 09:13:15 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2001:CFL}.",
  URL =          "http://docserver.carma.newcastle.edu.au/228/",
  abstract =     "Convex functions of Legendre type are constructed on
                 arbitrary open convex sets in Banach spaces that
                 satisfy appropriate rotundity and smoothness
                 conditions. A simple direct proof of the existence of
                 ``universal'' barriers on arbitrary open convex sets in
                 $ \mathbb {R}^n $ is given.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "$\beta$-differentiability; barrier function;
                 essentially smooth; Legendre function; strict
                 convexity",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Undated, but PDF metadata says
                 00:151-Borwein-Vanderwerff.dvi.",
}

@Article{Borwein:2000:CSF,
  author =       "Jonathan M. Borwein and John Read and Adrian S. Lewis
                 and Qiji Zhu",
  title =        "Convex spectral functions of compact operators",
  journal =      j-J-NONLINEAR-CONVEX-ANAL,
  volume =       "1",
  number =       "1",
  pages =        "17--35",
  year =         "2000",
  ISSN =         "1345-4773 (print), 1880-5221 (electronic)",
  ISSN-L =       "1345-4773",
  MRclass =      "49N15 (47N10 49J52 90C25)",
  MRnumber =     "1751726",
  MRreviewer =   "Mihai Turinici",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.ybook.co.jp/online2/jncav1.html",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Nonlinear and Convex Analysis. An
                 International Journal",
  journal-URL =  "http://www.ybook.co.jp/jnca.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 99:130.",
  xxauthor =     "Jon Borwein and Adrian Lewis and John Read and Qiji
                 Zhu",
}

@Article{Borwein:2000:CSR,
  author =       "Jonathan M. Borwein and David M. Bradley and Richard
                 E. Crandall",
  title =        "Computational Strategies for the {Riemann} Zeta
                 Function",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "121",
  number =       "1--2",
  pages =        "247--296",
  month =        sep,
  year =         "2000",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/S0377-0427(00)00336-8",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "11M06 (11Y35 33F05)",
  MRnumber =     "1780051 (2001h:11110)",
  MRreviewer =   "Cem Y. Y{\i}ld{\i}r{\i}m",
  bibdate =      "Mon Oct 24 11:41:28 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Numerical analysis in the 20th century, Vol. I,
                 Approximation theory",
  URL =          "http://people.reed.edu/~crandall/papers/attach01.pdf",
  abstract =     "We provide a compendium of evaluation methods for the
                 Riemann zeta function, presenting formulae ranging from
                 historical attempts to recently found convergent series
                 to curious oddities old and new. We concentrate
                 primarily on practical computational issues, such
                 issues depending on the domain of the argument, the
                 desired speed of computation, and the incidence of what
                 we call ``value recycling''.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 98:118.",
}

@Article{Borwein:2000:LFM,
  author =       "Jonathan M. Borwein and Xianfu Wang",
  title =        "{Lipschitz} functions with maximal {Clarke}
                 subdifferentials are generic",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "128",
  number =       "11",
  pages =        "3221--3229",
  year =         "2000",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-00-05914-1",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "49J52 (26B25 58C20)",
  MRnumber =     "1777577",
  MRreviewer =   "Jean-No{\"e}l Corvellec",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/206/",
  abstract =     "We show that on a separable Banach space most
                 Lipschitz functions have maximal Clarke subdifferential
                 mappings. In particular, the generic nonexpansive
                 function has the dual unit ball as its Clarke
                 subdifferential at every point. Diverse corollaries are
                 given.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2000:LFM",
}

@InProceedings{Borwein:2000:NCMa,
  author =       "J. M. Borwein and T. Stanway",
  editor =       "Bruce Cload and Tom Jenkyns",
  booktitle =    "{Proceedings of the Conference on Technology in
                 Mathematics Education at the Secondary and Tertiary
                 Levels, June 2--4, 1999 at Brock University}",
  title =        "Numerical and computational mathematics (at the
                 undergraduate level)",
  publisher =    "Brock University Press",
  address =      "St. Catharines, ON, L2S 3A1 Canada",
  pages =        "20--37",
  year =         "2000",
  bibdate =      "Mon Aug 15 14:24:05 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/246/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Also appeared in Cubo.",
}

@InCollection{Borwein:2000:PEN,
  author =       "J. M. Borwein and P. B. Borwein and K. Dilcher",
  title =        "Pi, {Euler} Numbers, and Asymptotic Expansions",
  crossref =     "Berggren:2000:PSB",
  pages =        "642--648",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/978-1-4757-3240-5_65",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1583/;
                 http://link.springer.com/chapter/10.1007/978-1-4757-3240-5_65",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2000:R,
  author =       "Jonathan Borwein and Kwok-Kwong Stephen Choi",
  title =        "On the representations of $ x y + y z + z x $",
  journal =      j-EXP-MATH,
  volume =       "9",
  number =       "1",
  pages =        "153--158",
  year =         "2000",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/10586458.2000.10504642",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  MRclass =      "11D85",
  MRnumber =     "1758806",
  MRreviewer =   "Mao Hua Le",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/expmath.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/212/;
                 http://projecteuclid.org/euclid.em/1046889597",
  abstract =     "We show that there are at most 19 integers that are
                 not of the form $ x y + y z + x z $ with $ x, y, z \geq
                 1 $. Eighteen of them are small and easily found. The
                 remaining possibility must be greater than $ 10^{11} $
                 and cannot occur if we assume the Generalized Riemann
                 Hypothesis.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 98:119.",
}

@TechReport{Borwein:2000:RCS,
  author =       "David Borwein and Jonathan Borwein and Greg Fee and
                 Roland Girgensohn",
  title =        "Refined Convexity and Special Cases of the
                 {Blaschke--Santalo} Inequality",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "8",
  day =          "3",
  month =        apr,
  year =         "2000",
  bibdate =      "Thu Sep 01 09:02:50 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/222",
  abstract =     "We derive the $ l_p $ version of the classical
                 Blaschke--Santalo inequality for polar volumes as a
                 consequence of more subtle convexity estimates for the
                 volume of the $p$ ball in Euclidean space. We also give
                 analogs for the $ (p, q)$-substitution norms.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Modified 6 June 2000.",
}

@TechReport{Borwein:2000:RGC,
  author =       "J. M. Borwein and M. Fabian and I. Kortezov and P. D.
                 Loewen",
  title =        "The range of the gradient of a continuously
                 differentiable bump",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "21",
  day =          "12",
  month =        oct,
  year =         "2000",
  MRclass =      "46G05, 58C20",
  bibdate =      "Thu Sep 01 09:47:22 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2001:RGC}.",
  URL =          "http://docserver.carma.newcastle.edu.au/231/",
  abstract =     "For a continuously differentiable function with
                 bounded nonempty support, the range of the gradient
                 cannot be locally contained in a hyperplane. However,
                 iterative methods allow the construction of
                 continuously differentiable functions whose gradient
                 ranges have rather general topological features. For
                 example, the gradient range may fail to be simply
                 connected.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:2000:RME,
  author =       "J. M. Borwein and P. B. Borwein and D. H. Bailey",
  title =        "{Ramanujan}, Modular Equations, and Approximations to
                 Pi or How to Compute One Billion Digits of Pi",
  crossref =     "Berggren:2000:PSB",
  pages =        "623--641",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/978-1-4757-2736-4_64;
                 https://doi.org/10.1007/978-1-4757-3240-5_64",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1587/;
                 http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_64;
                 http://link.springer.com/chapter/10.1007/978-1-4757-3240-5_64",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2000:SDI,
  author =       "Jonathan M. Borwein and Warren B. Moors",
  title =        "Separable determination of integrability and
                 minimality of the {Clarke} subdifferential mapping",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "128",
  number =       "1",
  pages =        "215--221",
  month =        jan,
  year =         "2000",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-99-05001-7",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "49J52 (46N10 58C20)",
  MRnumber =     "1622793",
  MRreviewer =   "Lionel Thibault",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/196/;
                 http://www.jstor.org/stable/119403",
  abstract =     "In this paper we show that the study of integrability
                 and D-representability of Lipschitz functions defined
                 on arbitrary Banach spaces reduces to the study of
                 these properties on separable Banach spaces.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Research Report 97:102.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2000:SDI",
}

@Article{Borwein:2000:SM,
  author =       "D. Borwein and J. M. Borwein and P. Mar{\'e}chal",
  title =        "Surprise maximization",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "107",
  number =       "6",
  pages =        "517--527",
  month =        jun # "\slash " # jul,
  year =         "2000",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2589347",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "00A08 (03B48 90C90)",
  MRnumber =     "1767060",
  MRreviewer =   "S. Kutateladze",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/209/",
  abstract =     "The Surprise Examination or Unexpected Hanging Paradox
                 has long fascinated mathematicians and philosophers, as
                 the number of publications devoted to it attests. For
                 an exhaustive bibliography on the subject, see [1]. We
                 examine and solve the optimization problems arising
                 from an information theoretic avoidance of the Paradox.
                 These problems provide a very satisfactory application
                 of both the Kuhn-Tucker theory and of various classical
                 inequalities and estimation techniques. We assume some
                 elementary knowledge of optimization but recall the
                 necessary convex analytic concepts in the course of the
                 paper. Readers unfamiliar with this background may
                 simply skip a couple of proofs and a few technical
                 details.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 98:116.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2000:SM",
}

@Article{Theodorescu:2000:PSS,
  author =       "Radu Theodorescu and Jonathan M. Borwein",
  title =        "Problems and Solutions: Solutions: Moments of the
                 {Poisson} Distribution: 10738",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "107",
  number =       "7",
  pages =        "659--659",
  month =        aug # "\slash " # sep,
  year =         "2000",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2589135",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1543703",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.jstor.org/stable/2589135",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Bailey:2001:EMR,
  author =       "David H. Bailey and Jonathan M. Borwein",
  title =        "Experimental mathematics: recent developments and
                 future outlook",
  crossref =     "Engquist:2001:MUB",
  pages =        "51--66",
  year =         "2001",
  MRclass =      "00A99",
  MRnumber =     "1852153",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/250/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 99:143.",
}

@Article{Bauschke:2001:ESE,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein and Patrick
                 L. Combettes",
  title =        "Essential smoothness, essential strict convexity, and
                 {Legendre} functions in {Banach} spaces",
  journal =      j-COMMUN-CONTEMP-MATH,
  volume =       "3",
  number =       "4",
  pages =        "615--647",
  year =         "2001",
  DOI =          "https://doi.org/10.1142/S0219199701000524",
  ISSN =         "0219-1997 (print), 1793-6683 (electronic)",
  MRclass =      "49J53 (46G05 46N10)",
  MRnumber =     "1869107",
  MRreviewer =   "S. Simons",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/232/",
  abstract =     "The classical notions of essential smoothness,
                 essential strict convexity, and Legendreness for convex
                 functions axe extended from Euclidean to Banach spaces.
                 A pertinent duality theory is developed and several
                 useful characterizations are given. The proofs rely on
                 new results on the more subtle behavior of
                 subdifferentials and directional derivatives at
                 boundary points of the domain. In weak Asplund spaces,
                 a new formula allows the recovery of the
                 subdifferential from nearby gradients. Finally, it is
                 shown that every Legendre function on a reflexive
                 Banach space is zone consistent, a fundamental property
                 in the analysis of optimization algorithms based on
                 Bregman distances. Numerous illustrating examples are
                 provided.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Communications in Contemporary Mathematics",
  journal-URL =  "http://www.worldscientific.com/worldscinet/ccm",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 00:156.",
  researcherid-numbers = "Combettes, Patrick/A-2442-2011 Borwein,
                 Jonathan/A-6082-2009 Bauschke, Heinz/D-5582-2009",
  unique-id =    "Bauschke:2001:ESE",
}

@InProceedings{Bauschke:2001:JSC,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein",
  editor =       "Dan Butnariu and Yair Censor and Simeon Reich",
  booktitle =    "Inherently Parallel Algorithms in Feasibility and
                 Optimization and their Applications ({Haifa}, 2000)",
  title =        "Joint and separate convexity of the {Bregman}
                 distance",
  volume =       "8",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "23--36",
  year =         "2001",
  DOI =          "https://doi.org/10.1016/S1570-579X(01)80004-5",
  ISSN =         "1570-579X (print), 2212-1145 (electronic)",
  ISSN-L =       "1570-579X",
  MRclass =      "90C48 (49J53 65J05 90C30)",
  MRnumber =     "1853214",
  MRreviewer =   "Simeon Reich",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Studies in Computational Mathematics",
  URL =          "http://docserver.carma.newcastle.edu.au/227/;
                 http://www.sciencedirect.com/science/article/pii/S1570579X01800045",
  abstract =     "Algorithms involving Bregman projections for solving
                 optimization problems have been receiving much
                 attention lately. Several of these methods rely
                 crucially on the joint convexity of the Bregman
                 distance. In this note, we study joint and separate
                 convexity of Bregman distances. To bring out the main
                 ideas more clearly, we consider first functions defined
                 on an open interval. Our main result states that the
                 Bregman distance of a given function is jointly convex
                 if and only if the reciprocal of its second derivative
                 is concave. We observe that Bregman distances induced
                 by the two most popular choices --- the energy and the
                 Boltzmann--Shannon entropy --- are limiting cases in a
                 profound sense. This result is generalized by weakening
                 assumptions on differentiability and strict convexity.
                 We then consider general, not necessarily separable,
                 convex functions. The characterization of joint
                 convexity has a natural and beautiful analog. Finally,
                 we discuss spectral functions, where the situation is
                 less clear. Throughout, we provide numerous examples to
                 illustrate our results.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     ":Bregman distance; convex function; joint convexity;
                 separate convexity",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:2001:AWMa,
  author =       "Jonathan M. Borwein",
  title =        "Aesthetics for the Working Mathematician",
  type =         "Report",
  institution =  "Simon Fraser University",
  address =      "Burnaby, BC V5A 1S6, Canada",
  pages =        "22",
  day =          "18",
  month =        apr,
  year =         "2001",
  bibdate =      "Tue Aug 16 10:19:46 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Public Lecture at Queen's University Symposium on
                 Beauty and the Mathematical Beast, April 18--19,
                 Kingston, ON, Canada.",
  URL =          "http://docserver.carma.newcastle.edu.au/150/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "No abstract available.",
}

@Article{Borwein:2001:CBS,
  author =       "Jonathan Michael Borwein and David J. Broadhurst and
                 Joel Kamnitzer",
  title =        "Central binomial sums, multiple {Clausen} values, and
                 zeta values",
  journal =      j-EXP-MATH,
  volume =       "10",
  number =       "1",
  pages =        "25--34",
  year =         "2001",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/10586458.2001.10504426",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  MRclass =      "11G55 (05A10 11M06 33B99)",
  MRnumber =     "1821569",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/expmath.bib",
  URL =          "http://arxiv.org/abs/hep-th/0004153;
                 http://docserver.carma.newcastle.edu.au/243/;
                 http://projecteuclid.org/euclid.em/999188418",
  abstract =     "We find and prove relationships between Riemann zeta
                 values and central binomial sums. We also investigate
                 alternating binomial sums (also called Apery sums). The
                 study of nonalternating sums leads to an investigation
                 of different types of sums which we call multiple
                 Clausen values. The study of alternating sums leads to
                 a tower of experimental results involving
                 polylogarithms in the golden ratio.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2001:CBS",
}

@Article{Borwein:2001:CFL,
  author =       "Jonathan M. Borwein and Jon D. Vanderwerff",
  title =        "Convex functions of {Legendre} type in general
                 {Banach} spaces",
  journal =      j-J-CONVEX-ANAL,
  volume =       "8",
  number =       "2",
  pages =        "569--581",
  year =         "2001",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "46G99 (46N10 49J50)",
  MRnumber =     "1915959",
  MRreviewer =   "A. B. N{\'e}meth",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/228/;
                 http://www.heldermann.de/JCA/JCA08/JCA082/jca08030.htm",
  abstract =     "Convex functions of Legendre type are constructed on
                 arbitrary open convex sets in Banach spaces that
                 satisfy appropriate rotundity and smoothness
                 conditions. A simple direct proof of the existence of
                 ``universal'' barriers on arbitrary open convex sets in
                 $ \mathbb {R}^n $ is given.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 00:151.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2001:CFL",
}

@Article{Borwein:2001:CMCa,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "Challenges in Mathematical Computing",
  journal =      j-COMPUT-SCI-ENG,
  volume =       "3",
  number =       "3",
  pages =        "48--53",
  month =        may # "\slash " # jun,
  year =         "2001",
  CODEN =        "CSENFA",
  DOI =          "https://doi.org/10.1109/5992.919266",
  ISSN =         "1521-9615 (print), 1558-366X (electronic)",
  ISSN-L =       "1521-9615",
  bibdate =      "Wed Aug 10 12:08:56 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/computscieng.bib",
  URL =          "http://dlib.computer.org/cs/books/cs2001/pdf/c3048.pdf;
                 http://docserver.carma.newcastle.edu.au/135/;
                 http://www.computer.org/cse/cs1999c3048abs.htm",
  abstract =     "Almost all interesting mathematical algorithmic
                 questions relate to NP-hard questions. Such computation
                 is prone to explode exponentially. The authors
                 anticipate the greatest benefit will come from
                 mathematical platforms that allow for computer-assisted
                 insight generation, not from solutions of
                 grand-challenge problems.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Computing in Science and Engineering",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992",
  keywords =     "Algebra; computational complexity; Computer
                 architecture; Computer networks; computer-assisted
                 insight generation; Databases; Encyclopedias;
                 grand-challenge problems; HTML; Java; mathematical
                 algorithmic questions; mathematical computing;
                 mathematical platforms; Mathematics; mathematics
                 computing; NP-hard questions; Packaging; Statistics;
                 symbol manipulation",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2001:CMC",
}

@TechReport{Borwein:2001:CMCc,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "Challenges in Mathematical Computing",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "12",
  day =          "19",
  month =        feb,
  year =         "2001",
  bibdate =      "Wed Aug 31 12:21:01 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/135/2/01_160-Borwein-Borwein-ocr.pdf",
  abstract =     "Almost all interesting mathematical algorithmic
                 questions relate to NP-hard questions and such
                 computation is prone to explode exponentially. More
                 space, more speed and processors, and even say massive
                 parallelism will have an impact but it will be largely
                 at a ``micro not macro'' level. We anticipate the
                 greatest benefit accruing from mathematical platforms
                 that allow for highly computer assisted insight
                 generation (more ``aha''s per cycle), not from solution
                 of grand challenge problems.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:2001:CSF,
  author =       "Jonathan M. Borwein and Adrian S. Lewis and Qiji J.
                 Zhu",
  booktitle =    "Optimization and related topics
                 ({Ballarat}/{Melbourne}, 1999)",
  title =        "Convex spectral functions of compact operators. {II}.
                 {Lower} semicontinuity and rearrangement invariance",
  volume =       "47",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "179--196",
  year =         "2001",
  DOI =          "https://doi.org/10.1007/978-1-4757-6099-6_12",
  MRclass =      "49N15 (47A10 47B10 90C25)",
  MRnumber =     "1893622",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Appl. Optim.",
  URL =          "http://docserver.carma.newcastle.edu.au/251/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2001:DIS,
  author =       "J. M. Borwein and S. P. Fitzpatrick",
  title =        "Duality inequalities and sandwiched functions",
  journal =      j-NONLINEAR-ANAL,
  volume =       "46",
  number =       "3",
  pages =        "365--380",
  year =         "2001",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/S0362-546X(00)00129-2",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "49J53 (49N15 90C46)",
  MRnumber =     "1851858",
  MRreviewer =   "Roberto Lucchetti",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/204/;
                 http://www.sciencedirect.com/science/article/pii/S0362546X00001292",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "Ekeland variational principle; Fenchel duality;
                 Mean-value inequalities; Nonconvex separation; Sandwich
                 theorem; Schauder fixed-point theorem",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Research Report 98:111.",
}

@Article{Borwein:2001:EM,
  author =       "Jonathan M. Borwein",
  title =        "Experimental Mathematics",
  journal =      j-AUSTRALIAN-MATH-SOC-GAZ,
  volume =       "28",
  number =       "??",
  pages =        "77--80",
  month =        "????",
  year =         "2001",
  DOI =          "",
  ISSN =         "0311-0729 (print), 1326-2297 (electronic)",
  ISSN-L =       "0311-0729",
  bibdate =      "Fri Aug 12 11:12:55 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1527/",
  acknowledgement = ack-nhfb,
  ajournal =     "Aust. Math. Soc. Gaz.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Australian Mathematical Society Gazette",
  journal-URL =  "http://www.austms.org.au/gazette",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "The journal has archives only from volume 31 (2004) at
                 \url{https://austms.org.au/publications/gazette/gazette-past-issues/}.",
}

@Article{Borwein:2001:GSB,
  author =       "Jonathan M. Borwein and Warren B. Moors and Xianfu
                 Wang",
  title =        "Generalized subdifferentials: a {Baire} categorical
                 approach",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "353",
  number =       "10",
  pages =        "3875--3893",
  year =         "2001",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.1090/S0002-9947-01-02820-3",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "49J52 (46G05 58C20)",
  MRnumber =     "1837212",
  MRreviewer =   "Mari{\'a}n Fabian",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/234/",
  abstract =     "We use Baire categorical arguments to construct
                 pathological locally Lipschitz functions. The origins
                 of this approach can be traced back to Banach and
                 Mazurkiewicz (1931) who independently used similar
                 categorical arguments to show that ``almost every
                 continuous real-valued function defined on [0,1] is
                 nowhere differentiable''. As with the results of Banach
                 and Mazurkiewicz, it appears that it is easier to show
                 that almost every function possesses a certain property
                 than to construct a single concrete example. Among the
                 most striking results contained in this paper are:
                 Almost every 1-Lipschitz function defined on a Banach
                 space has a Clarke subdifferential mapping that is
                 identically equal to the dual ball; if \{T-1;
                 T-2,\ldots{},T-n\} is a family of maximal cyclically
                 monotone operators defined on a Banach space X then
                 there exists a real-valued locally Lipschitz function g
                 such that partial derivative (0g)(x) =co \{T-1(x);
                 T-2(x),\ldots{},T-n(x)\} for each x is an element of X;
                 in a separable Banach space each non-empty weak*
                 compact convex subset in the dual space is identically
                 equal to the approximate subdifferential mapping of
                 some Lipschitz function and for locally Lipschitz
                 functions defined on separable spaces the notions of
                 strong and weak integrability coincide.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 99:127.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2001:GSB",
}

@TechReport{Borwein:2001:LLC,
  author =       "J. M. Borwein and J. Vanderwerff and Xianfu Wang",
  title =        "Local {Lipschitz}-constant functions and maximal
                 subdifferentials",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "28",
  year =         "2001",
  MRclass =      "49J52 (54E52)",
  bibdate =      "Thu Sep 01 10:51:58 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2003:LLC}.",
  URL =          "http://docserver.carma.newcastle.edu.au/55/2/01_158-Borwein-Vanderwerff-Wang.pdf",
  abstract =     "It is shown that if k(x) is an upper semicontinuous
                 and quasi lower semicontinuous function on a Banach
                 space X, then k(z)Bx~ is the Clarke subdifferential of
                 some locally Lipschitz function on X. Related results
                 for approximate subdifferentials are also given.
                 Moreover, on smooth Banach spaces, for every locally
                 Lipschitz function with minimal Clarke subdifferential,
                 one can obtain a maximal Clarke subdifferential map via
                 its ``local Lipschitz-constant'' function. Finally,
                 some results concerning the characterization and
                 calculus of local Lipschitz-constant functions are
                 developed.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "approximate subdifferential; Baire category; Clarke
                 subdifferential; Lipschitz function; local
                 Lipschitz-constant function",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:2001:MVS,
  author =       "David Borwein and Jonathan M. Borwein and Bernard A.
                 {Mares, Jr.}",
  title =        "Multi-variable sinc integrals and volumes of
                 polyhedra",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "19",
  day =          "9",
  month =        feb,
  year =         "2001",
  bibdate =      "Thu Sep 01 10:57:31 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/56/",
  abstract =     "We investigate multi-variable integrals of products of
                 sinc functions and show how they may be interpreted as
                 volumes of symmetric convex polyhedra. We then derive
                 an explicit formula for computing such sinc integrals
                 and so equivalently volumes of polyhedra.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@TechReport{Borwein:2001:NRI,
  author =       "J. Borwein and R. Goebel",
  title =        "Notions of relative interior in {Banach} spaces",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "17",
  day =          "10",
  month =        oct,
  year =         "2001",
  MRclass =      "49J53 (46B20 90C48)",
  MRnumber =     "1992991",
  MRreviewer =   "Constantin Z{\u{a}}linescu",
  bibdate =      "Wed Aug 31 12:30:27 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2003:NRI}.",
  URL =          "http://docserver.carma.newcastle.edu.au/138/",
  abstract =     "Extensions to a Banach space of the equivalent notions
                 of relatively absorbing, non-support, and relative
                 interior points of a convex set in $ \mathbb {R}^n $
                 are presented. The relations between these extensions
                 are studied, and their basic calculus rules are
                 developed. Several explicit examples and
                 counterexamples in general Banach spaces are given; and
                 the tools for development of further examples are
                 explained. Various implications for infinite
                 dimensional optimization are highlighted.",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Math. Sci. (NY)",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Sciences (New York)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Special issue on optimization and related topics, 1.
                 CECM Preprint 01:162.",
}

@Article{Borwein:2001:RCS,
  author =       "D. Borwein and J. Borwein and G. Fee and R.
                 Girgensohn",
  title =        "Refined convexity and special cases of the
                 {Blaschke--Santalo} inequality",
  journal =      j-MATH-INEQUAL-APPL,
  volume =       "4",
  number =       "4",
  pages =        "631--638",
  year =         "2001",
  DOI =          "https://doi.org/10.7153/mia-04-56",
  ISSN =         "1331-4343 (print), 1848-9966 (electronic)",
  ISSN-L =       "1331-4343",
  MRclass =      "52A38 (26B25 52A40)",
  MRnumber =     "1859668",
  MRreviewer =   "Beifang Chen",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/222/",
  abstract =     "We derive the l(p) version of the classical
                 Blaschke-Santalo inequality for polar volumes as a
                 consequence of more subtle convexity estimates for the
                 volume of the p-ball in Euclidean space. We also give
                 analogs for the (p, q) -substitution norm.",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Inequal. Appl.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Inequalities \& Applications",
  journal-URL =  "http://mia.ele-math.com/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 00:146.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2001:RCS",
}

@Article{Borwein:2001:RGC,
  author =       "J. M. Borwein and M. Fabian and I. Kortezov and P. D.
                 Loewen",
  title =        "The range of the gradient of a continuously
                 differentiable bump",
  journal =      j-J-NONLINEAR-CONVEX-ANAL,
  volume =       "2",
  number =       "1",
  pages =        "1--19",
  year =         "2001",
  ISSN =         "1345-4773 (print), 1880-5221 (electronic)",
  ISSN-L =       "1345-4773",
  MRclass =      "58C20 (46G05 49J53)",
  MRnumber =     "1828155",
  MRreviewer =   "Mari{\'a}n Fabian",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Special issue for Professor Ky Fan.",
  URL =          "http://docserver.carma.newcastle.edu.au/231/;
                 http://www.ybook.co.jp/online2/opjnca/vol2/p1.html",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Nonlinear and Convex Analysis. An
                 International Journal",
  journal-URL =  "http://www.ybook.co.jp/jnca.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:2001:RP,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "{Ramanujan} and pi",
  crossref =     "Berndt:2001:RES",
  pages =        "187--199",
  year =         "2001",
  MRclass =      "11-03 (01A70)",
  MRnumber =     "1862751",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Reprint of \cite{Borwein:1988:RP}.",
  series =       "Hist. Math.",
  URL =          "http://docserver.carma.newcastle.edu.au/1379/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2001:SGR,
  author =       "Jonathan M. Borwein and Ivaylo Kortezov",
  title =        "Some generic results on nonattaining functionals",
  journal =      j-SET-VALUED-ANAL,
  volume =       "9",
  number =       "1--2",
  pages =        "35--47",
  year =         "2001",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1023/A:1011246414064",
  ISSN =         "0927-6947 (print), 1572-932x (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "46N10 (49J53 54E52)",
  MRnumber =     "1845933",
  MRreviewer =   "Gargi Chakraborty",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Wellposedness in optimization and related topics
                 (Gargnano, 1999).",
  URL =          "http://docserver.carma.newcastle.edu.au/221/",
  abstract =     "We prove that (a) in a reflexive space, for any
                 linearly bounded but unbounded closed convex subset the
                 nonsupport functionals are a dense G(delta) subset of
                 the polar set, and (b) any non-semicoercive proper
                 convex Isc [weak*-lsc] function in a [dual] Banach
                 space has a generic [dense G(delta)] set of
                 L-infinity-perturbations which do not attain their
                 infimum. We also characterize the proper convex
                 functions that have inf-nonattaining
                 L-infinity-perturbations. This results also in a
                 criterion for reflexivity.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2001:SGR",
}

@Article{Borwein:2001:SRP,
  author =       "David Borwein and Jonathan M. Borwein",
  title =        "Some remarkable properties of sinc and related
                 integrals",
  journal =      j-RAMANUJAN-J,
  volume =       "5",
  number =       "1",
  pages =        "73--89",
  year =         "2001",
  CODEN =        "RAJOF9",
  DOI =          "https://doi.org/10.1023/A:1011497229317",
  ISSN =         "1382-4090 (print), 1572-9303 (electronic)",
  ISSN-L =       "1382-4090",
  MRclass =      "42A38 (26D15 40A05 41A55)",
  MRnumber =     "1829810",
  MRreviewer =   "Philip Heywood",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/249/",
  abstract =     "Using Fourier transform techniques, we establish
                 inequalities for integrals of the form [GRAPHICS] We
                 then give quite striking closed form evaluations of
                 such integrals and finish by discussing various
                 extensions and applications.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The {Ramanujan} Journal",
  journal-URL =  "http://link.springer.com/journal/11139",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2001:SRP",
}

@Article{Borwein:2001:STC,
  author =       "J. M. Borwein and X. Wang",
  title =        "Subdifferentiability of typical continuous functions",
  journal =      "Nonlinear Analysis Forum",
  volume =       "6",
  number =       "1",
  pages =        "49--58",
  year =         "2001",
  ISSN =         "1226-7228",
  MRclass =      "49J52 (26A24 46G05 46T20)",
  MRnumber =     "1844467",
  MRreviewer =   "Yan Gao",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Nonlinear analysis and its applications (St. John's,
                 NF, 1999).",
  URL =          "http://docserver.carma.newcastle.edu.au/241/;
                 http://prof.ks.ac.kr/bslee/naf/table/vol-0601/v0601-05a.PDF",
  acknowledgement = ack-nhfb,
  ajournal =     "Nonlinear Anal. Forum",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis Forum. An International Journal",
  journal-URL =  "http://prof.ks.ac.kr/bslee/naf/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2001:SVM,
  author =       "Jonathan M. Borwein and David M. Bradley and David J.
                 Broadhurst and Petr Lison{\v{e}}k",
  title =        "Special values of multiple polylogarithms",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "353",
  number =       "3",
  pages =        "907--941",
  month =        mar,
  year =         "2001",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.1090/S0002-9947-00-02616-7",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "33B30 (11G55 11Y60 33E20)",
  MRnumber =     "1709772",
  MRreviewer =   "P. D. F. Ion",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.jstor.org/stable/221840",
  abstract =     "Historically, the polylogarithm has attracted
                 specialists and nonspecialists alike with its lovely
                 evaluations. Much the same can be said for Euler sums
                 (or multiple harmonic sums), which, within the past
                 decade, have arisen in combinatorics, knot theory and
                 high-energy physics. More recently, we have been forced
                 to consider multidimensional extensions encompassing
                 the classical polylogarithm, Euler sums, and the
                 Riemann zeta function. Here, we provide a general
                 framework within which previously isolated results can
                 now be properly understood. Applying the theory
                 developed herein, we prove several previously
                 conjectured evaluations, including an intriguing
                 conjecture of Don Zagier.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2001:SVM",
}

@Article{Lindqvist:2001:PSS,
  author =       "Peter Lindqvist and Jaak Peetre and Jonathan M.
                 Borwein",
  title =        "Problems and Solutions: Solutions: Generalized
                 Trigonometric Functions: 10744",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "108",
  number =       "5",
  pages =        "473--474",
  year =         "2001",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2695813",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1544137",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Book{Borowski:2002:MCD,
  author =       "Ephraim J. Borowski and Jonathan M. Borwein",
  title =        "Mathematics: {Collins} dictionary",
  publisher =    pub-COLLINS,
  address =      pub-COLLINS:adr,
  edition =      "Second",
  pages =        "633",
  year =         "2002",
  ISBN =         "0-00-710295-X",
  ISBN-13 =      "978-0-00-710295-2",
  LCCN =         "????",
  bibdate =      "Tue Aug 16 09:04:49 MDT 2016",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject =      "Mathematics; Dictionaries; Mathematik;
                 W{\"o}rterbuch.; Mathematics.",
}

@Article{Borwein:2002:ANB,
  author =       "J. M. Borwein and M. Jim{\'e}nez-Sevilla and J. P.
                 Moreno",
  title =        "Antiproximinal norms in {Banach} spaces",
  journal =      j-J-APPROX-THEORY,
  volume =       "114",
  number =       "1",
  pages =        "57--69",
  year =         "2002",
  CODEN =        "JAXTAZ",
  DOI =          "https://doi.org/10.1006/jath.2001.3636",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "46B20 (41A65)",
  MRnumber =     "1880294",
  MRreviewer =   "Ioan {\c{S}}erb",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/233/;
                 http://www.sciencedirect.com/science/article/pii/S0021904501936366",
  abstract =     "We prove that every Banach space containing a
                 complemented copy of $ c_0 $ has an antiproximinal body
                 for a suitable norm. If, in addition, the space is
                 separable, there is a pair of antiproximinal norms. In
                 particular, in a separable polyhedral space $X$, the
                 set of all (equivalent) norms on $X$ having an
                 isomorphic antiproximinal norm is dense. In contrast,
                 it is shown that there are no antiproximinal norms in
                 Banach spaces with the convex point of continuity
                 property (CPCP). Other questions related to the
                 existence of antiproximinal bodies are also
                 discussed.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  received =     "CECM Preprint 00:157.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2002:ANB",
}

@Article{Borwein:2002:ASS,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "Addendum: ``{A survey of subdifferential calculus with
                 applications'' [Nonlinear Anal.\ {\bf 38} (1999), no.\
                 6, Ser.\ A: Theory Methods, 687--773; (2000j:49024)]}",
  journal =      j-NONLINEAR-ANAL,
  volume =       "49",
  number =       "2, Ser. A: Theory Methods",
  pages =        "295--296",
  year =         "2002",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/S0362-546X(01)00099-2",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "49J52 (46G05 46N10 49-02 49J53 58C05)",
  MRnumber =     "1885123",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "See \cite{Borwein:1999:SSC}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2002:CBC,
  author =       "J. M. Borwein and J. D. Vanderwerff",
  title =        "On the continuity of biconjugate convex functions",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "130",
  number =       "6",
  pages =        "1797--1803",
  month =        jun,
  year =         "2002",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-01-06249-9",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B20 (46N10 52A41)",
  MRnumber =     "1887028",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/230/;
                 http://www.jstor.org/stable/2699775",
  abstract =     "We show that a Banach space is a Grothendieck space if
                 and only if every continuous convex function on $X$ has
                 a continuous biconjugate function on $ X**$, thus also
                 answering a question raised by S. Simons. Related
                 characterizations and examples are given.",
  acknowledgement = ack-nhfb,
  article-number = "UNSP S 0002-9939(01)06249-9",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 00:154.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2002:CBC",
}

@TechReport{Borwein:2002:DSSc,
  author =       "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi",
  title =        "On {Dirichlet} series for sums of squares",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "29",
  day =          "5",
  month =        feb,
  year =         "2002",
  bibdate =      "Wed Aug 31 14:12:44 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Published in \cite{Borwein:2003:DSS}.",
  URL =          "http://docserver.carma.newcastle.edu.au/142/",
  abstract =     "In [14], Hardy and Wright recorded elegant closed
                 forms for the generating functions of the divisor
                 functions $ \sigma_k(n) $ and $ \sigma_k(n)^2 $ in the
                 terms of Riemann Zeta function $ \zeta (s) $ only. In
                 this paper, we explore other arithmetical functions
                 enjoying this remarkable property. In Theorem 2.1
                 below, we are able to generalize the above result and
                 prove that if $ f_i $ and $ g_i $ are completely
                 multiplicative, then we have \par

                  $$ \sum_{n = 1}^\infty \frac {(f_1 \ast g_1)(n) \cdot
                 (f_2 \ast g_2)(n)}{n^s} = f r a c{L_{f_1 f_2}(s) L_{g_1
                 g_2}(s) L_{f_1 g_2}(s)}{L_{f_1 f_2 g_1 g_2}(2s)} $$
                 \par

                 where $ L_f(s) := \sum_{n = 1}^\infty f(n) n^{-s} $ is
                 the Dirichlet series corresponding to $f$. Let $
                 r_N(n)$ be the number of solutions of $ x_1^2 + \cdots
                 + x_N^2 = n$ and $ r_{2, P}(n)^2$ be the number of
                 solutions of $ x^2 + P y^2 = n$. One of the
                 applications of Theorem 2.1 is to obtain closed forms,
                 in terms of $ \zeta (s)$ and Dirichlet $L$-functions,
                 for the generating functions of $ r_N(n)$, $ r_N^2
                 (n)$, $ r_{2, P}p(n)$ and $ r_{2, p}(n)^2$ for certain
                 $N$ and $P$. We also use these generating functions to
                 obtain asymptotic estimates of the average values for
                 each function for which we obtain a Dirichlet series.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2002:EMI,
  author =       "J. M. Borwein",
  title =        "Experimental Mathematics and Integer Relations",
  journal =      "European Research Consortium for Informatics and
                 Mathematics, ERCIM News",
  volume =       "50",
  number =       "??",
  pages =        "30--31",
  month =        jul,
  year =         "2002",
  bibdate =      "Sat Aug 13 17:35:58 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Section Special Theme ERCIMathematics.",
  URL =          "https://www.ercim.eu/publication/Ercim_News/enw50/borwein.html",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  journal-URL =  "http://ercim-news.ercim.eu/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "The journal web sites has no online content before
                 volume 86, July 2011.",
}

@Article{Borwein:2002:FES,
  author =       "J. M. Borwein and I. Kortezov and H. Wiersma",
  title =        "A {$ C^1 $}-function that is even on a sphere and has
                 no critical points in the ball",
  journal =      j-J-NONLINEAR-CONVEX-ANAL,
  volume =       "3",
  number =       "1",
  pages =        "1--16",
  year =         "2002",
  ISSN =         "1345-4773 (print), 1880-5221 (electronic)",
  ISSN-L =       "1345-4773",
  MRclass =      "49J53 (26B35 47J30)",
  MRnumber =     "1895233",
  MRreviewer =   "S. Simons",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/140/;
                 http://www.ybook.co.jp/online2/jncav3.html",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Nonlinear and Convex Analysis. An
                 International Journal",
  journal-URL =  "http://www.ybook.co.jp/jnca.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:164.",
}

@Article{Borwein:2002:MVS,
  author =       "David Borwein and Jonathan M. Borwein and Bernard A.
                 {Mares, Jr.}",
  title =        "Multi-variable sinc integrals and volumes of
                 polyhedra",
  journal =      j-RAMANUJAN-J,
  volume =       "6",
  number =       "2",
  pages =        "189--208",
  year =         "2002",
  CODEN =        "RAJOF9",
  DOI =          "https://doi.org/10.1023/A:1015727317007",
  ISSN =         "1382-4090 (print), 1572-9303 (electronic)",
  ISSN-L =       "1382-4090",
  MRclass =      "52A38 (42B10)",
  MRnumber =     "1908197",
  MRreviewer =   "Carla Peri",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/56/",
  abstract =     "We investigate multi-variable integrals of products of
                 sinc functions and show how they may be interpreted as
                 volumes of symmetric convex polyhedra. We then derive
                 an explicit formula for computing such sinc integrals
                 and so equivalently volumes of polyhedra.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The {Ramanujan} Journal",
  journal-URL =  "http://link.springer.com/journal/11139",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:159.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2002:MVS",
}

@TechReport{Borwein:2002:PDA,
  author =       "J. Borwein and R. Choksi and P. Mar{\'e}chal",
  title =        "Probability distributions of assets inferred from
                 option prices via the {Principle of Maximum Entropy}",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "19",
  day =          "7",
  month =        jan,
  year =         "2002",
  bibdate =      "Wed Aug 31 07:10:33 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/10/2/02_3A176-Borwein-Choksi-Marechal.pdf",
  abstract =     "This article revisits the maximum entropy algorithm in
                 the context of recovering the probability distribution
                 of an asset from the prices of finitely many associated
                 European call options, via partially finite convex
                 programming. We are able to provide an effective
                 characterization of the constraint qualification under
                 which the problem reduces to optimizing an explicit
                 function in finitely many variables. We also prove that
                 the value (or objective) function is lower
                 semi-continuous on its domain. Reference is given to a
                 web-site which exploits these ideas for the efficient
                 computation of the maximum entropy solution.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2002:RGL,
  author =       "J. M. Borwein and M. Fabian and P. D. Loewen",
  title =        "The range of the gradient of a {Lipschitz} {$ C^1
                 $}-smooth bump in infinite dimensions",
  journal =      j-ISRAEL-J-MATH,
  volume =       "132",
  number =       "1",
  pages =        "239--251",
  month =        dec,
  year =         "2002",
  CODEN =        "ISJMAP",
  DOI =          "https://doi.org/10.1007/BF02784514",
  ISSN =         "0021-2172 (print), 1565-8511 (electronic)",
  ISSN-L =       "0021-2172",
  MRclass =      "58C05 (46B20 46G05)",
  MRnumber =     "1952623",
  MRreviewer =   "Li Xin Cheng",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/144/;
                 http://link.springer.com/article/10.1007/BF02784514",
  abstract =     "If a Banach space has a Lipschitz $ C^1$-smooth bump
                 function, then it admits other bumps of the same
                 smoothness whose gradients exactly fill the dual unit
                 ball and other reasonable figures. This strengthens a
                 result of Azagra and Deville who were able to cover the
                 dual unit ball.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Israel Journal of Mathematics",
  journal-URL =  "http://link.springer.com/journal/11856",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:169.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Fabian,
                 Marian/D-5427-2014",
  unique-id =    "Borwein:2002:RGL",
}

@Article{Borwein:2002:RNC,
  author =       "Jon Borwein and John Giles and Jon Vanderwerff",
  title =        "Rotund norms, {Clarke} subdifferentials and extensions
                 of {Lipschitz} functions",
  journal =      j-NONLINEAR-ANAL,
  volume =       "48",
  number =       "2",
  pages =        "287--301",
  year =         "2002",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/S0362-546X(00)00187-5",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "49J52 (46B20)",
  MRnumber =     "1870757",
  MRreviewer =   "Lionel Thibault",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/219/;
                 http://www.sciencedirect.com/science/article/pii/S0362546X00001875",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "Baire category; Clarke subdifferentials; Extensions;
                 Lipschitz functions; Rotund norms",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 98:126.",
}

@Article{Borwein:2002:SSC,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "A survey of subdifferential calculus with
                 applications: [Nonlinear Anal. TMA {\bf 38} (1999)
                 687--773]",
  journal =      j-NONLINEAR-ANAL,
  volume =       "49",
  number =       "2",
  pages =        "295--296",
  year =         "2002",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/S0362-546X(01)00099-2",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/199/;
                 http://www.sciencedirect.com/science/article/pii/S0362546X01000992",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis, Theory, Methods and Applications",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Bauschke:2003:BMO,
  author =       "Heinz H. Bauschke and Jonathan M. Borwein and Patrick
                 L. Combettes",
  title =        "{Bregman} monotone optimization algorithms",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "42",
  number =       "2",
  pages =        "596--636",
  year =         "2003",
  CODEN =        "SJCODC",
  DOI =          "https://doi.org/10.1137/S0363012902407120",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "90C25 (47H05 47N10 90C48)",
  MRnumber =     "1982285",
  MRreviewer =   "Simeon Reich",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/127/",
  abstract =     "A broad class of optimization algorithms based on
                 Bregman distances in Banach spaces is unified around
                 the notion of Bregman monotonicity. A systematic
                 investigation of this notion leads to a simplified
                 analysis of numerous algorithms and to the development
                 of a new class of parallel block-iterative surrogate
                 Bregman projection schemes. Another key contribution is
                 the introduction of a class of operators that is shown
                 to be intrinsically tied to the notion of Bregman
                 monotonicity and to include the operators commonly
                 found in Bregman optimization methods. Special emphasis
                 is placed on the viability of the algorithms and the
                 importance of Legendre functions in this regard.
                 Various applications are discussed.",
  acknowledgement = ack-nhfb,
  article-number = "PII S0363012902407120",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  ORCID-numbers = "Bauschke, Heinz/0000-0002-4155-9930; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 02:184.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Combettes,
                 Patrick/A-2442-2011 Bauschke, Heinz/D-5582-2009",
  unique-id =    "Bauschke:2003:BMO",
}

@Article{Benoist:2003:CQV,
  author =       "Jo{\"e}l Benoist and Jonathan M. Borwein and Nicolae
                 Popovici",
  title =        "A characterization of quasiconvex vector-valued
                 functions",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "131",
  number =       "4",
  pages =        "1109--1113",
  month =        apr,
  year =         "2003",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-02-06761-8",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "26B25 (49J53 90C26)",
  MRnumber =     "1948101",
  MRreviewer =   "Laura Martein",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/145/;
                 http://www.jstor.org/stable/1194189",
  abstract =     "The aim of this paper is to characterize in terms of
                 scalar quasiconvexity the vector-valued functions which
                 are $K$-quasiconvex with respect to a closed convex
                 cone $K$ in a Banach space. Our main result extends a
                 well-known characterization of $K$-quasiconvexity by
                 means of extreme directions of the polar cone of $K$,
                 obtained by Dinh The Luc in the particular case when
                 $K$ is a polyhedral cone generated by exactly $n$
                 linearly independent vectors in the Euclidean space $
                 \mathbb {R}^n$.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Popovici, Nicolae/0000-0002-1842-6005; Roohi,
                 Mehdi/0000-0002-8444-042X; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:170.",
  researcherid-numbers = "Popovici, Nicolae/G-6304-2010 Borwein,
                 Jonathan/A-6082-2009",
  unique-id =    "Benoist:2003:CQV",
}

@TechReport{Berggren:2003:PP,
  author =       "J. Lennart Berggren and Jonathan Borwein and Peter
                 Borwein",
  title =        "A Pamphlet on Pi serving as a Supplement for the Third
                 Edition of {{\booktitle{Pi: A Source Book}}}",
  type =         "CECM Preprint",
  number =       "2003:210",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "65",
  day =          "17",
  month =        jul,
  year =         "2003",
  bibdate =      "Tue Aug 16 10:15:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/33/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  tableofcontents = "List of Figures / i \\
                 1 Pi and Its Friends / 1 \\
                 1.1 A Recent History of Pi / 1 \\
                 1.1.1 The ENIAC Integrator and Calculator / 5 \\
                 1.2 Computing Individual Digits of Pi / 7 \\
                 1.3 Does Pi Have a Non-Binary BBP Formula? / 13 \\
                 \\
                 2 Normality of Numbers / 17 \\
                 2.1 Normality: A Stubborn Question / 17 \\
                 2.2 BBP Constants and Normality / 22 \\
                 2.3 A Class of Provably Normal Constants / 26 \\
                 \\
                 3 Historia Cyclometrica / 29 \\
                 3.1 1 Kings, 2 Chronicles, and Maimonides / 29 \\
                 3.2 Fran{\c{c}}ois Vi{\`e}te. Book VIII, Chapter XVIII.
                 / 30 \\
                 3.2.1 Ratio of Regular Polygons, Inscribed in a Circle,
                 to the Circle / 30 \\
                 3.2.2 Defense Against the New Cyclometry or anti-axe. /
                 33 \\
                 3.3 Christian Huygens. Problem IV, Proposition XX. / 43
                 \\
                 3.3.1 Determining the Magnitude of the Circle / 43 \\
                 \\
                 4 Demotica Cyclometrica / 47 \\
                 4.1 Irving Kaplansky's ``Song of Pi'' / 47 \\
                 4.2 Ludolph van Ceulen's Tombstone / 47 \\
                 \\
                 Bibliography / 55 \\
                 Index / 59",
}

@Article{Borwein:2003:BGT,
  author =       "J. M. Borwein and A. L. Dontchev",
  title =        "On the {Bartle--Graves} theorem",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "131",
  number =       "8",
  pages =        "2553--2560",
  year =         "2003",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-03-07229-0",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "49J53 (47J20)",
  MRnumber =     "1974655",
  MRreviewer =   "Mari{\'a}n Fabian",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/128/",
  abstract =     "The Bartle-Graves theorem extends the Banach open
                 mapping principle to a family of linear and bounded
                 mappings, thus showing that surjectivity of each member
                 of the family is equivalent to the openness of the
                 whole family. In this paper we place this theorem in
                 the perspective of recent concepts and results, and
                 present a general Bartle-Graves theorem for set-valued
                 mappings. As applications, we obtain versions of this
                 theorem for mappings defined by systems of
                 inequalities, and for monotone variational
                 inequalities.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 02:185.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009 Dontchev,
                 Assen/J-6833-2017",
  unique-id =    "Borwein:2003:BGT",
}

@Article{Borwein:2003:CEI,
  author =       "Jonathan Borwein and Roland Girgensohn",
  title =        "A class of exponential inequalities",
  journal =      j-MATH-INEQUAL-APPL,
  volume =       "6",
  number =       "3",
  pages =        "397--411",
  year =         "2003",
  DOI =          "https://doi.org/10.7153/mia-06-37",
  ISSN =         "1331-4343 (print), 1848-9966 (electronic)",
  ISSN-L =       "1331-4343",
  MRclass =      "26D15",
  MRnumber =     "1992480",
  MRreviewer =   "Feng Qi",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/148/",
  abstract =     "We prove that for reals $ x_i $ with $ \sum x_i \geq 0
                 $, the estimate $ \sum x_i e^{x_i} \geq (C_N / N) \sum
                 x_i^2 $ holds, where $ C_N = \max \{ 2, e (1 - 1 / N)
                 \} $. We also prove analogues for the $I$-norm and for
                 Lebesgue-integrable functions.",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Inequal. Appl.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Inequalities \& Applications",
  journal-URL =  "http://mia.ele-math.com/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:174.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2003:CEI",
}

@InCollection{Borwein:2003:DB,
  author =       "Jonathan M. Borwein",
  editor =       "Alex C. Michalos",
  booktitle =    "The best teacher {I} ever had: personal reports from
                 highly productive scholars",
  title =        "On {David Borwein}",
  crossref =     "Michalos:2003:BTE",
  chapter =      "14",
  pages =        "??--??",
  year =         "2003",
  bibdate =      "Sat Aug 13 17:29:16 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2003:DSS,
  author =       "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi",
  title =        "On {Dirichlet} series for sums of squares",
  journal =      j-RAMANUJAN-J,
  volume =       "7",
  number =       "1--3",
  pages =        "95--127",
  year =         "2003",
  CODEN =        "RAJOF9",
  DOI =          "https://doi.org/10.1023/A:1026230709945",
  ISSN =         "1382-4090 (print), 1572-9303 (electronic)",
  ISSN-L =       "1382-4090",
  MRclass =      "11M41 (11E25)",
  MRnumber =     "2035795",
  MRreviewer =   "Don Redmond",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Rankin memorial issues.",
  URL =          "http://docserver.carma.newcastle.edu.au/142/",
  abstract =     "Hardy and Wright (\booktitle{An Introduction to the
                 Theory of Numbers}, 5th edn., Oxford, 1979) recorded
                 elegant closed forms for the generating functions of
                 the divisor functions $ \sigma_k(n) $ and $
                 \sigma^2_k(n) $ in the terms of Riemann Zeta function $
                 \zeta (s) $ only. In this paper, we explore other
                 arithmetical functions enjoying this remarkable
                 property. In Theorem 2.1 below, we are able to
                 generalize the above result and prove that if $ f_i $
                 and $ g_i $ are completely multiplicative, then we have
                 [large equation] where $ L_f(s) := \sum_{n = 1}^\infty
                 f(n) n^{-s} $ is the Dirichlet series corresponding to
                 $f$. Let $ r_N(n)$ be the number of solutions of $
                 x_1^2 + \ldots {} + x_N^2 = n$ and $ r_{2, P}(n)$ be
                 the number of solutions of $ x^2 + P y^2 = n$. One of
                 the applications of Theorem 2.1 is to obtain closed
                 forms, in terms of $ \zeta (s)$ and Dirichlet
                 $L$-functions, for the generating functions of $
                 r_N(n)$, $ r_N^2 (n)$, $ r_{2, P}(n)$ and $ r_{2,
                 P}(n)^2$ for certain $N$ and $P$. We also use these
                 generating functions to obtain asymptotic estimates of
                 the average values for each function for which we
                 obtain a Dirichlet series.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The {Ramanujan} Journal",
  journal-URL =  "http://link.springer.com/journal/11139",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:167.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2003:DSS",
}

@Article{Borwein:2003:LFL,
  author =       "J. M. Borwein and Xianfu Wang",
  title =        "{Lipschitz} functions on the line with prescribed
                 {H{\"o}lder} subdifferentials",
  journal =      "Advanced Studies in Contemporary Mathematics
                 (Kyungshang).",
  volume =       "7",
  number =       "2",
  pages =        "93--117",
  year =         "2003",
  ISSN =         "1229-3067",
  ISSN-L =       "1229-3067",
  MRclass =      "49J52 (26A16 26A24 26A27)",
  MRnumber =     "2005859",
  MRreviewer =   "Mari{\'a}n Fabian",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1526/",
  acknowledgement = ack-nhfb,
  ajournal =     "Adv. Stud. Contemp. Math. (Kyungshang)",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Advanced Studies in Contemporary Mathematics
                 (Kyungshang). Memoirs of the Jangjeon Mathematical
                 Society",
  journal-URL =  "http://www.jangjeon.or.kr/etc/Search.html?division=ASCM",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Article archive requires login access.",
}

@Article{Borwein:2003:LLC,
  author =       "J. M. Borwein and J. Vanderwerff and Xianfu Wang",
  title =        "Local {Lipschitz}-constant functions and maximal
                 subdifferentials",
  journal =      j-SET-VALUED-ANAL,
  volume =       "11",
  number =       "1",
  pages =        "37--67",
  year =         "2003",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1023/A:1021975622768",
  ISSN =         "0927-6947 (print), 1572-932X (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "49J52 (54E40 54E52)",
  MRnumber =     "1954034",
  MRreviewer =   "John R. Giles",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://link.springer.com/article/10.1023/A%3A1021975622768",
  abstract =     "It is shown that if $ k(x) $ is an upper
                 semicontinuous and quasi lower semicontinuous function
                 on a Banach space $X$, then $ k(x) B - X*$ is the
                 Clarke subdifferential of some locally Lipschitz
                 function on $X$. Related results for approximate
                 subdifferentials are also given. Moreover, on smooth
                 Banach spaces, for every locally Lipschitz function
                 with minimal Clarke subdifferential, one can obtain a
                 maximal Clarke subdifferential map via its `local
                 Lipschitz-constant' function. Finally, some results
                 concerning the characterization and calculus of local
                 Lipschitz-constant functions are developed.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:158.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2003:LLC",
}

@InProceedings{Borwein:2003:MDM,
  author =       "J. M. Borwein and T. Stanway",
  title =        "Managing Digital Mathematical Discourse",
  crossref =     "Asperti:2003:MKM",
  pages =        "45--55",
  year =         "2003",
  bibdate =      "Sat Aug 13 17:26:56 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "In this paper, we propose that the present state of
                 Mathematical Knowledge Management (MKM) derives from
                 two main imperatives: the desire to organize and
                 encapsulate mathematical knowledge after it is produced
                 and the desire to encapsulate the act of production.
                 While progress in digital network technology has
                 facilitated a confluence of these efforts, their
                 original separation imposes an approximate rubric on
                 MKM which may be used to help define the challenges
                 facing the field. We propose that one of the main
                 challenges lies in the question of fixed versus
                 flexible ontologies and the related question of
                 ontology resolution between applications. Finally, we
                 describe Emkara, an application which adopts a flexible
                 metadata definition in the archiving and retrieval of
                 digital mathematical exchanges, queries, and grey
                 literature.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2003:MDM",
}

@TechReport{Borwein:2003:MEP,
  author =       "Jonathan M. Borwein and David H. Bailey and Roland
                 Girgensohn",
  title =        "Mathematics by Experiment: Plausible Reasoning in the
                 21st Century and Experiments in Mathematics:
                 Computational Paths to Discovery",
  type =         "Report",
  institution =  inst-CECM,
  address =      inst-CECM:adr,
  pages =        "iv + 67",
  day =          "28",
  month =        aug,
  year =         "2003",
  bibdate =      "Mon Sep 05 06:29:13 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.187.5170&rep=rep1&type=pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2003:NRI,
  author =       "J. Borwein and R. Goebel",
  title =        "Notions of relative interior in {Banach} spaces",
  journal =      "Journal of Mathematical Sciences (New York)",
  volume =       "115",
  number =       "4",
  pages =        "2542--2553",
  year =         "2003",
  CODEN =        "JMTSEW",
  DOI =          "https://doi.org/10.1023/A:1022988116044",
  ISSN =         "1072-3374 (print), 1573-8795 (electronic)",
  MRclass =      "49J53 (46B20 90C48)",
  MRnumber =     "1992991",
  MRreviewer =   "Constantin Z{\u{a}}linescu",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Special issue on optimization and related topics, 1.",
  URL =          "http://docserver.carma.newcastle.edu.au/138/;
                 http://link.springer.com/article/10.1023/A%3A1022988116044",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Math. Sci. (NY)",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Sciences (New York)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:162.",
}

@Article{Borwein:2003:PDA,
  author =       "J. Borwein and R. Choksi and P. Mar{\'e}chal",
  title =        "Probability distributions of assets inferred from
                 option prices via the principle of maximum entropy",
  journal =      j-SIAM-J-OPT,
  volume =       "14",
  number =       "2",
  pages =        "464--478",
  year =         "2003",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S1052623401400324",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C25 (91B28)",
  MRnumber =     "2048161",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/10/",
  abstract =     "This article revisits the maximum entropy algorithm in
                 the context of recovering the probability distribution
                 of an asset from the prices of finitely many associated
                 European call options via partially finite
                 convex-programming. We are able to provide an effective
                 characterization of the constraint qualification under
                 which the problem reduces to optimizing an explicit
                 function in finitely many variables. We also prove that
                 the value (or objective) function is lower
                 semicontinuous on its domain. Reference is given to a
                 website which exploits these ideas for the efficient
                 computation of the maximum entropy solution (MES).",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 02:176.",
  researcherid-numbers = "Choksi, Rustum/A-9985-2009 Borwein,
                 Jonathan/A-6082-2009",
  unique-id =    "Borwein:2003:PDA",
}

@Article{Borwein:2003:SWG,
  author =       "Jonathan Borwein and Simon Fitzpatrick and Roland
                 Girgensohn",
  title =        "Subdifferentials whose graphs are not norm $ \times $
                 weak$^*$ closed",
  journal =      j-CAN-MATH-BULL,
  volume =       "46",
  number =       "4",
  pages =        "538--545",
  month =        dec,
  year =         "2003",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-2003-051-5",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "49J52 (46N10 47H05 90C48)",
  MRnumber =     "2011392",
  MRreviewer =   "John R. Giles",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://cms.math.ca/cmb/v46/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
  URL =          "http://cms.math.ca/10.4153/CMB-2003-051-5;
                 http://docserver.carma.newcastle.edu.au/149/",
  abstract =     "In this note we give examples of convex functions
                 whose subdifferentials have unpleasant properties.
                 Particularly, we exhibit a proper lower semicontinuous
                 convex function on a separable Hilbert space such that
                 the graph of its subdifferential is not dosed in the
                 product of the norm and bounded weak topologies. We
                 also exhibit a set whose sequential normal cone is not
                 norm dosed.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:175.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2003:SWG",
}

@Article{Kellar:2003:DCM,
  author =       "Melanie Kellar and Bonnie MacKay and Rui Zhang and
                 Carolyn Watters and David Kaufman and Jonathan
                 Borwein",
  title =        "Dynamic Composition of Math Lessons",
  journal =      "Journal of Educational Technology \& Society",
  volume =       "6",
  number =       "4",
  pages =        "100--111",
  month =        "????",
  year =         "2003",
  ISSN =         "1176-3647 (print), 1436-4522 (electronic)",
  ISSN-L =       "1176-3647",
  bibdate =      "Tue Feb 06 09:20:39 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1525/;
                 http://ifets.ieee.org/periodical/6_4/10.pdf;
                 http://www.jstor.org/stable/jeductechsoci.6.4.100",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  journal-URL =  "http://www.jstor.org/journal/jeductechsoci",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Bailey:2004:BEA,
  author =       "David H. Bailey and Jonathan M. Borwein and Richard E.
                 Crandall and Carl Pomerance",
  title =        "On the binary expansions of algebraic numbers",
  journal =      "Journal de Th{\'e}orie des Nombres de {Bordeaux}",
  volume =       "16",
  number =       "3",
  pages =        "487--518",
  year =         "2004",
  ISSN =         "1246-7405 (print), 2118-8572 (electronic)",
  ISSN-L =       "1246-7405",
  MRclass =      "11K16 (11J25 11J91)",
  MRnumber =     "2144954",
  MRreviewer =   "John H. Loxton",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/36/;
                 http://jtnb.cedram.org/item?id=JTNB_2004__16_3_487_0",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Th{\'e}or. Nombres Bordeaux",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal de Th{\'e}orie des Nombres de Bordeaux",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 2003:204.",
}

@InCollection{Borwein:2004:AGMa,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "The Arithmetic--Geometric Mean and Fast Computation of
                 Elementary Functions",
  crossref =     "Berggren:2004:PSB",
  pages =        "537--552",
  year =         "2004",
  DOI =          "https://doi.org/10.1007/978-1-4757-4217-6_56",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Reprint of \cite{Borwein:1984:AGM}.",
  URL =          "http://link.springer.com/chapter/10.1007/978-1-4757-4217-6_56",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2004:CCS,
  author =       "Jonathan M. Borwein and Jon D. Vanderwerff",
  title =        "Constructible convex sets",
  journal =      j-SET-VALUED-ANAL,
  volume =       "12",
  number =       "1--2",
  pages =        "61--77",
  month =        mar # "\slash " # jun,
  year =         "2004",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1023/B:SVAN.0000023393.75251.05",
  ISSN =         "0927-6947 (print), 1572-932x (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "49J53 (46B20 46N10 90C25 90C48)",
  MRnumber =     "2069352",
  MRreviewer =   "Diethard Pallaschke",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/38/",
  abstract =     "We investigate when closed convex sets can be written
                 as countable intersections of closed half-spaces in
                 Banach spaces. It is reasonable to consider this class
                 to comprise the constructible convex sets since such
                 sets are precisely those that can be defined by a
                 countable number of linear inequalities, hence are
                 accessible to techniques of semi-infinite convex
                 programming. We also explore some model theoretic
                 implications. Applications to set convergence are given
                 as limiting examples.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 2003:202.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2004:CCS",
}

@Article{Borwein:2004:CMU,
  author =       "J. Borwein and I. Kortezov",
  title =        "Constructive minimal uscos",
  journal =      j-C-R-ACAD-BULGARE-SCI,
  volume =       "57",
  number =       "12",
  pages =        "9--12",
  year =         "2004",
  CODEN =        "DBANAD",
  ISSN =         "1310-1331 (print), 2367-5535 (electronic)",
  ISSN-L =       "1310-1331",
  MRclass =      "49J53 (54C60)",
  MRnumber =     "2117234",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/273/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Dokladi na B\cdprime lgarskata Akademiya na Naukite.
                 Comptes Rendus de l'Acad{\'e}mie Bulgare des Sciences",
  journal-URL =  "http://www.proceedings.bas.bg/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CoLab Preprint 273. The journal web site only has an
                 abstract for this paper.",
  xxtitle =      "Constructive minimal cuscos",
}

@Article{Borwein:2004:DCM,
  author =       "Jonathan M. Borwein and James V. Burke and Adrian S.
                 Lewis",
  title =        "Differentiability of cone-monotone functions on
                 separable {Banach} space",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "132",
  number =       "4",
  pages =        "1067--1076",
  month =        apr,
  year =         "2004",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-03-07149-1",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "49J50 (46G05 46N10)",
  MRnumber =     "2045422",
  MRreviewer =   "Jes{\'u}s A. Jaramillo",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/123/1/;
                 http://docserver.carma.newcastle.edu.au/1242/;
                 http://www.jstor.org/stable/4097135",
  abstract =     "Motivated by applications to (directionally) Lipschitz
                 functions, we provide a general result on the almost
                 everywhere Gateaux differentiability of real-valued
                 functions on separable Banach spaces, when the function
                 is monotone with respect to an ordering induced by a
                 convex cone with nonempty interior. This seemingly
                 arduous restriction is useful, since it covers the case
                 of directionally Lipschitz functions, and necessary. We
                 show by way of example that most results fail more
                 generally.",
  acknowledgement = ack-nhfb,
  article-number = "PII S0002-9939(03)07149-1",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 02:183.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2004:DCM",
}

@InProceedings{Borwein:2004:DSS,
  author =       "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi",
  title =        "{Dirichlet} series for squares of sums of squares: a
                 summary",
  crossref =     "Kisilevsky:2004:NTP",
  volume =       "36",
  pages =        "27--34",
  year =         "2004",
  MRclass =      "11M41 (11E25)",
  MRnumber =     "2076564",
  MRreviewer =   "Don Redmond",
  bibdate =      "Sat Aug 13 17:30:35 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "CRM Proc. Lecture Notes",
  ZMnumber =     "1078.11055",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Book{Borwein:2004:EMCa,
  author =       "Jonathan M. Borwein and David H. Bailey and Roland
                 Girgensohn",
  title =        "Experimentation in mathematics: computational paths to
                 discovery",
  publisher =    pub-A-K-PETERS,
  address =      pub-A-K-PETERS:adr,
  pages =        "x + 357",
  year =         "2004",
  ISBN =         "1-56881-136-5",
  ISBN-13 =      "978-1-56881-136-9",
  LCCN =         "QA12 .B67 2004",
  MRclass =      "11-01 (11Yxx 40-01 42A16 42A38 68W30)",
  MRnumber =     "2051473",
  MRreviewer =   "F. Beukers",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  shorttableofcontents = "Sequences, series, products and integrals / 1
                 \\
                 Fourier series and integrals / 69 \\
                 Zeta functions and multizeta functions / 131 \\
                 Partitions and powers / 183 \\
                 Primes and polynomials / 225 \\
                 The power of constructive proofs II / 263 \\
                 Numerical techniques II / 299",
  tableofcontents = "",
  xxyear =       "2003",
}

@Article{Borwein:2004:FEA,
  author =       "Jonathan M. Borwein and David Borwein and William F.
                 Galway",
  title =        "Finding and excluding $b$-ary {Machin}-type individual
                 digit formulae",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "5",
  pages =        "897--925",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-2004-041-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "11Y60 (11A67 11G55 33B30)",
  MRnumber =     "2085627",
  MRreviewer =   "Greg Martin",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/canjmath.bib",
  note =         "This paper established the result that there are no
                 degree-1 BBP-type formulas for $ \pi $, except when the
                 base is 2 (or an integer power thereof).",
  URL =          "http://docserver.carma.newcastle.edu.au/47/",
  abstract =     "Constants with formulae of the form treated by D.
                 Bailey, P. Borwein, and S. Plouffe (BBP formulae to a
                 given base $b$) have interesting computational
                 properties, such as allowing single digits in their
                 base $b$ expansion to be independently computed, and
                 there are hints that they should be normal numbers,
                 i.e., that their base $b$ digits are randomly
                 distributed. We study a formally limited subset of BBP
                 formulae, which we call Machin-type BBP formulae, for
                 which it is relatively easy to determine whether or not
                 a given constant kappa has a Machin-type BBP formula.
                 In particular, given $b$ is an element of $N$, $ b >
                 2$, $b$ not a proper power, a $b$-ary Machin-type BBP
                 arctangent formula for $ \kappa $ is a formula of the
                 form $ \kappa = \sum_m a_m \arctan ( - b^{-m})$, $ a_m$
                 is an element of $Q$, while when $ b = 2$, we also
                 allow terms of the form $ a_m \arctan (1 / (1 - 2^m))$.
                 Of particular interest, we show that $ \pi $ has no
                 Machin-type BBP arctangent formula when $ b \neq 2$. To
                 the best of our knowledge, when there is no Machin-type
                 BBP formula for a constant then no BBP formula of any
                 form is known for that constant.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 2003:195.",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2004:FEB",
}

@Book{Borwein:2004:MEP,
  author =       "Jonathan M. Borwein and David H. Bailey",
  title =        "Mathematics by Experiment: Plausible Reasoning in the
                 {21st Century}",
  publisher =    pub-A-K-PETERS,
  address =      pub-A-K-PETERS:adr,
  pages =        "x + 288",
  year =         "2004",
  ISBN =         "1-56881-211-6",
  ISBN-13 =      "978-1-56881-211-3",
  LCCN =         "QA76.95 .B67 2003",
  MRclass =      "00A35",
  MRnumber =     "2033012",
  MRreviewer =   "John H. Mason",
  bibdate =      "Fri Oct 17 10:38:25 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  price =        "US\$45.00",
  URL =          "http://docserver.carma.newcastle.edu.au/272/",
  abstract =     "Using examples that truly represent the experimental
                 methodology, this book provides the historical context
                 of, and rationale behind, experimental mathematics. It
                 shows how today, the use of advanced computing
                 technology provides, mathematicians with an amazing,
                 previously unimaginable ``laboratory,'' in which
                 examples can be analyzed, new ideas tested, and
                 patterns discovered. This is a perfect introduction to
                 the history and current state of research and
                 technology in the growing field of experimental
                 mathematics.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "Due to an unfortunate error, some of the citations in
                 the book point to the wrong item in the Bibliography.
                 Here is how to find the correct citation number:
                 [1]--[85]: Citation number is correct; [86, page 100]:
                 [86]; [86, page 2]: [87]; [87]--[156]: Add one to
                 citation number; [157]: [159]; [158, page 139]: [158];
                 [158, page 97]: [160]; [159]--[196]: Add two to
                 citation number",
  tableofcontents = "What is Experimental Mathematics? \\
                 Experimental Mathematics in Action \\
                 Pi and Its Friends \\
                 Normality of Numbers \\
                 The Power of Constructive Proofs I \\
                 Numerical Techniques I \\
                 Making Sense of Experimental Math",
}

@Article{Borwein:2004:OPV,
  author =       "Jonathan Borwein and Lixin Cheng and Mari{\'a}n Fabian
                 and Julian P. Revalski",
  title =        "A one perturbation variational principle and
                 applications",
  journal =      j-SET-VALUED-ANAL,
  volume =       "12",
  number =       "1--2",
  pages =        "49--60",
  year =         "2004",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1023/B:SVAN.0000023400.92518.cb",
  ISSN =         "0927-6947 (print), 1572-932x (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "49J53 (46B20 46G05 49J40 49J50)",
  MRnumber =     "2069351",
  MRreviewer =   "John R. Giles",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/14/",
  abstract =     "We study a variational principle in which there is one
                 common perturbation function $ \phi $ for every proper
                 lower semicontinuous extended real-valued function $f$
                 defined on a metric space $X$. Necessary and sufficient
                 conditions are given in order for the perturbed
                 function $ f + \phi $ to attain its minimum. In the
                 case of a separable Banach space we obtain a specific
                 principle in which the common perturbation function is,
                 in addition, also convex and Hadamard-like
                 differentiable. This allows us to provide applications
                 of the principle to differentiability of convex
                 functions on separable and more general Banach
                 spaces.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 2003:205.",
  researcherid-numbers = "Fabian, Marian/D-5427-2014 Borwein,
                 Jonathan/A-6082-2009 Cheng, LX/G-3342-2010",
  unique-id =    "Borwein:2004:OPV",
}

@InCollection{Borwein:2004:PEN,
  author =       "J. M. Borwein and P. B. Borwein and K. Dilcher",
  title =        "Pi, {Euler} Numbers, and Asymptotic Expansions",
  crossref =     "Berggren:2004:PSB",
  pages =        "642--648",
  year =         "2004",
  DOI =          "https://doi.org/10.1007/978-1-4757-4217-6_65",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Reprint of \cite{Borwein:1989:PEN}.",
  URL =          "http://docserver.carma.newcastle.edu.au/1583/;
                 http://link.springer.com/chapter/10.1007/978-1-4757-4217-6_65",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2004:RAFa,
  author =       "J. Borwein and R. Crandall and G. Fee",
  title =        "On the {Ramanujan} {AGM} Fraction, {I}: The
                 Real-Parameter Case",
  journal =      j-EXP-MATH,
  volume =       "13",
  number =       "3",
  pages =        "275--285",
  year =         "2004",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/10586458.2004.10504540",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  MRclass =      "11J70 (11A55 33C05 40A15)",
  MRnumber =     "2103326",
  MRreviewer =   "James G. Mc Laughlin",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/expmath.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/27/;
                 http://projecteuclid.org/euclid.em/1103749836",
  abstract =     "The Ramanujan AGM continued fraction is a construct
                 [GRAPHIC] enjoying attractive algebraic properties,
                 such as a striking arithmetic-geometric mean (AGM)
                 relation and elegant connections with elliptic-function
                 theory. But the fraction also presents an intriguing
                 computational challenge. Herein we show how to rapidly
                 evaluate $R$ for any triple of positive reals $a$, $b$,
                 $ \eta $. Even in the problematic scenario when a
                 approximate to $b$ certain transformations allow rapid
                 evaluation. In this process we find, for example, that
                 when $ a_\eta = b_\eta = $ a rational number, $ R_\eta
                 $, is essentially an $L$-series that can be cast as a
                 finite sum of fundamental numbers. We ultimately
                 exhibit an algorithm that yields $D$ good digits of $R$
                 in $ O(D)$ iterations where the implied big-$O$
                 constant is independent of the positive-real triple
                 $a$, $b$, $ \eta $. Finally, we address the evidently
                 profound theoretical and computational dilemmas
                 attendant on complex parameters, indicating how one
                 might extend the AGM relation for complex parameter
                 domains.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2004:RAFa",
}

@Article{Borwein:2004:RAFb,
  author =       "J. Borwein and R. Crandall",
  title =        "On the {Ramanujan} {AGM} Fraction, {II}: The
                 Complex-Parameter Case",
  journal =      j-EXP-MATH,
  volume =       "13",
  number =       "3",
  pages =        "287--295",
  year =         "2004",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/10586458.2004.10504541",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  MRclass =      "11J70 (11A55 33C05)",
  MRnumber =     "2103327",
  MRreviewer =   "James G. Mc Laughlin",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/expmath.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/29/;
                 http://projecteuclid.org/euclid.em/1103749837",
  abstract =     "The Ramanujan continued fraction is interesting in
                 many ways; e.g., for certain complex parameters $
                 (\eta, a, b) $ one has an attractive AGM relation $
                 R_{\eta }(a.b) + R_\eta (b, a) = 2 R_\eta ((a + b) / 2,
                 \sqrt {a b}) $. Alas, for some parameters the continued
                 fraction $ R_\eta $, does not converge; moreover, there
                 are converging instances where the AGM relation itself
                 does not hold. To unravel these dilemmas we herein
                 establish convergence theorems, the central result
                 being that $ R_1 $ converges whenever $ |a| \neq |b| $.
                 Such analysis leads naturally to the conjecture that
                 divergence occurs whenever $ a = b e^{i \phi } $ with $
                 c o s^2 \phi \neq 1 $ (which conjecture has been proven
                 in a separate work) [Borwein et al. 04b.] We further
                 conjecture that for $ a / b $ lying in a certain ---
                 and rather picturesque --- complex domain, we have both
                 convergence and the truth of the AGM relation.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2004:RAFb",
}

@InCollection{Borwein:2004:RME,
  author =       "J. M. Borwein and P. B. Borwein and D. H. Bailey",
  title =        "{Ramanujan}, Modular Equations, and Approximations to
                 Pi or How to Compute One Billion Digits of Pi",
  crossref =     "Berggren:2004:PSB",
  pages =        "623--641",
  year =         "2004",
  DOI =          "https://doi.org/10.1007/978-1-4757-4217-6_64",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1587/;
                 http://link.springer.com/chapter/10.1007/978-1-4757-4217-6_64",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Bailey:2005:EDA,
  author =       "David H. Bailey and Jonathan M. Borwein and David M.
                 Bradley",
  title =        "Experimental determination of {Ap{\'e}ry}-like
                 identities for $ \zeta (2 n + 2) $",
  journal =      "ArXiv Mathematics e-prints",
  month =        may,
  year =         "2005",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/2005math......5270B;
                 http://docserver.carma.newcastle.edu.au/163/;
                 http://docserver.carma.newcastle.edu.au/295/",
  abstract =     "We document the discovery of two generating functions
                 for the Riemann zeta values $ \zeta (2 n + 2) $,
                 analogous to earlier work for $ \zeta (2 n + 1) $ and $
                 \zeta (4 n + 3) $. This continues work initiated by
                 Koecher and pursued further by Borwein, Bradley and
                 others.",
  abstract-2 =   "Some rapidly convergent formulae for special values of
                 the Riemann Zeta function are given. We obtain a
                 generating function formula for $ \zeta (4 n + 3) $
                 which generalizes Ap{\'e}ry's series for $ \zeta (3) $,
                 and appears to give the best possible series relations
                 of this type, at least for $ n < 12 $. The formula
                 reduces to a finite but apparently non-trivial
                 combinatorial identity. The identity is equivalent to
                 an interesting new integral evaluation for the central
                 binomial coefficient. We outline a new technique for
                 transforming and summing certain infinite series. We
                 also derive a beautiful formula which provides strange
                 evaluations of a large new class of non-terminating
                 hypergeometric series. It should be emphasized that our
                 main results are shown equivalent but are still only
                 conjectures.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "math/0505270",
  keywords =     "Mathematics - Number Theory, Mathematics - Classical
                 Analysis and ODEs, 11M06 (Primary), 33C20 (Secondary)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Bailey:2005:EME,
  author =       "David H. Bailey and Jonathan M. Borwein",
  title =        "Experimental mathematics: examples, methods and
                 implications",
  journal =      j-NAMS,
  volume =       "52",
  number =       "5",
  pages =        "502--514",
  month =        may,
  year =         "2005",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  MRclass =      "00A35",
  MRnumber =     "2140093",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1241/;
                 http://www.ams.org/notices/200505/fea-borwein.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CoLab Preprint 269.",
}

@Article{Bailey:2005:FPC,
  author =       "D. H. Bailey and J. M. Borwein",
  title =        "Future Prospects for Computer-assisted Mathematics",
  journal =      j-CMS-NOTES,
  volume =       "37",
  number =       "8",
  pages =        "2--6",
  month =        dec,
  year =         "2005",
  DOI =          "",
  ISSN =         "1193-9273 (print), 1496-4295 (electronic)",
  ISSN-L =       "1193-9273",
  bibdate =      "Sat Aug 13 17:21:21 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/304/;
                 https://cms.math.ca/notes/v37/n8/Notesv37n8.pdf",
  acknowledgement = ack-nhfb,
  ajournal =     "CMS Notes",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Society Notes",
  journal-URL =  "https://cms.math.ca/notes",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@InCollection{Borwein:2005:ADC,
  author =       "J. M. Borwein and K. Karamanos",
  editor =       "Andrew Eberhard and Nicolas Hadjisavvas and Dinh The
                 Luc",
  booktitle =    "Generalized Convexity, Generalized Monotonicity and
                 Applications",
  title =        "Algebraic Dynamics of Certain Gamma Function Values",
  volume =       "77",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xi + 350",
  pages =        "3--21",
  year =         "2005",
  DOI =          "https://doi.org/10.1007/0-387-23639-2_1",
  ISBN =         "0-387-23638-4",
  ISBN-13 =      "978-0-387-23638-4",
  MRclass =      "11Y60 (33B15 37B99 37N99 94A17)",
  MRnumber =     "2103023",
  MRreviewer =   "Brian L. Burrows",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Nonconvex Optim. Appl.",
  URL =          "http://docserver.carma.newcastle.edu.au/256/;
                 http://link.springer.com/chapter/10.1007/0-387-23639-2_1",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Eberhard,
                 Andrew/0000-0003-2977-3456",
}

@Article{Borwein:2005:BRS,
  author =       "Jonathan M. Borwein",
  title =        "Book Review: {{\booktitle{The SIAM 100-Digit
                 challenge: a study in high-accuracy numerical
                 computing}}, Folkmar Bornemann, Dirk Laurie, Stan
                 Wagon, and JSrg Waldvogel, SIAM, Philadelphia, PA, USA
                 2004, xil + 306 pp. softcover, ISBN 0-89871 561-X,
                 US\$57.00}",
  journal =      j-MATH-INTEL,
  volume =       "27",
  number =       "4",
  pages =        "40--48",
  year =         "2005",
  CODEN =        "MAINDC",
  DOI =          "https://doi.org/10.1007/BF02985860",
  ISSN =         "0343-6993 (print), 1866-7414 (electronic)",
  ISSN-L =       "0343-6993",
  bibdate =      "Fri Aug 12 10:34:00 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Mathematical Intelligencer",
  journal-URL =  "http://link.springer.com/journal/283",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "D-drive preprint 285.",
}

@Article{Borwein:2005:CFT,
  author =       "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi
                 and Wilfried Pigulla",
  title =        "Continued fractions of tails of hypergeometric
                 series",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "112",
  number =       "6",
  pages =        "493--501",
  month =        jun # "\slash " # jul,
  year =         "2005",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/30037519",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "33C05 (40A15)",
  MRnumber =     "2142600",
  MRreviewer =   "Takao Komatsu",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/39/;
                 http://www.jstor.org/stable/30037519",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 2003:201.",
}

@Article{Borwein:2005:CMF,
  author =       "Jonathan M. Borwein and Xianfu Wang",
  title =        "Cone-monotone functions: differentiability and
                 continuity",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "5",
  pages =        "961--982",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-2005-037-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "49J50 (26B05 46G05 58C20)",
  MRnumber =     "2164591",
  MRreviewer =   "Lud{\v{e}}k Zaj{\'{\i}}{\v{c}}ek",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We provide a porosity-based approach to the
                 differentiability and continuity of real-valued
                 functions on separable Banach spaces, when the function
                 is monotone with respect to an ordering induced by a
                 convex cone $K$ with non-empty interior. We also show
                 that the set of nowhere $K$-monotone functions has a
                 sigma-porous complement in the space of continuous
                 functions endowed with the uniform metric.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2005:CMF",
}

@Article{Borwein:2005:DCF,
  author =       "Jonathan M. Borwein and D. Russell Luke",
  title =        "Dynamics of a continued fraction of {Ramanujan} with
                 random coefficients",
  journal =      j-ABSTR-APPL-ANAL,
  volume =       "2005",
  number =       "5",
  pages =        "449--467",
  month =        "????",
  year =         "2005",
  DOI =          "https://doi.org/10.1155/AAA.2005.449",
  ISSN =         "1085-3375 (print), 1687-0409 (electronic)",
  ISSN-L =       "1085-3375",
  MRclass =      "11J70 (60F15)",
  MRnumber =     "2201037",
  MRreviewer =   "Mary E. Flahive",
  bibdate =      "Fri Aug 12 10:09:56 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/2005AbApA2005..449B;
                 http://www.hindawi.com/journals/aaa/2005/162798/abs/",
  abstract =     "We study a generalization of a continued fraction of
                 Ramanujan with random, complex-valued coefficients. A
                 study of the continued fraction is equivalent to an
                 analysis of the convergence of certain stochastic
                 difference equations and the stability of random
                 dynamical systems. We determine the convergence
                 properties of stochastic difference equations and so
                 the divergence of their corresponding continued
                 fractions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Abstract and Applied Analysis",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  received =     "16 November 2004",
  remark =       "CoLab Preprint 275",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2005:DCF",
}

@Article{Borwein:2005:EBS,
  author =       "Jonathan M. Borwein and Roland Girgensohn",
  title =        "Evaluations of binomial series",
  journal =      j-AEQUATIONES-MATHEMATICAE,
  volume =       "70",
  number =       "1--2",
  pages =        "25--36",
  year =         "2005",
  CODEN =        "AEMABN",
  DOI =          "https://doi.org/10.1007/s00010-005-2774-x",
  ISSN =         "0001-9054 (print), 1420-8903 (electronic)",
  ISSN-L =       "0001-9054",
  MRclass =      "05A10 (11B65 33B30)",
  MRnumber =     "2167981",
  MRreviewer =   "Valery V. Karachik",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/131/",
  abstract =     "We give closed forms, recursion formulas and
                 experimental results for the series $ \sum n^k / \binom
                 {2n}{n} $ and $ \sum 2^{-n} n^k / \binom {3n}{n} $ with
                 $ k \in \mathbb {Z} $.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Aequationes Mathematicae",
  journal-URL =  "http://link.springer.com/journal/10",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 02:188.",
}

@Article{Borwein:2005:EDA,
  author =       "Jonathan M. Borwein and David M. Bradley",
  title =        "Empirically determined {Ap{\'e}ry}-like formulae for $
                 \zeta (4 n + 3) $",
  journal =      "ArXiv Mathematics e-prints",
  month =        may,
  year =         "2005",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/2005math......5124B;
                 http://docserver.carma.newcastle.edu.au/163/",
  abstract =     "Some rapidly convergent formulae for special values of
                 the Riemann zeta function are given. We obtain a
                 generating function formula for $ \zeta (4 n + 3) $
                 which generalizes Ap{\'e}ry's series for $ \zeta (3) $,
                 and appears to give the best possible series relations
                 of this type, at least for $ n \lt 12 $. The formula
                 reduces to a finite but apparently non-trivial
                 combinatorial identity. The identity is equivalent to
                 an interesting new integral evaluation for the central
                 binomial coefficient. We outline a new technique for
                 transforming and summing certain infinite series. We
                 also derive a beautiful formula which provides strange
                 evaluations of a large new class of non-terminating
                 hypergeometric series. Our main results are shown to be
                 equivalent. At the time this article was submitted for
                 publication back in 1996, these results were only
                 conjectures, but they have subsequently been proved as
                 a result of work due to Gert Almkvist and Andrew
                 Granville.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "math/0505124",
  keywords =     "Mathematics - Classical Analysis and ODEs, Mathematics
                 - Number Theory, 11M06",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2005:EMPa,
  author =       "J. M. Borwein",
  title =        "The Experimental Mathematician: The Pleasure of
                 Discovery and the Role of Proof",
  journal =      "International Journal of Computers for Mathematical
                 Learning",
  volume =       "10",
  number =       "2",
  pages =        "75--108",
  month =        may,
  year =         "2005",
  DOI =          "https://doi.org/10.1007/s10758-005-5216-x",
  ISSN =         "1382-3892 (print), 1573-1766 (electronic)",
  ISSN-L =       "1382-3892",
  bibdate =      "Fri Aug 12 10:49:11 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Counterpart presentation published in CMESG25
                 Proceedings, 2002, with lecture slides at
                 \url{http://www.cecm.sfu.ca/personal/jborwein/proof.pdf}.",
  URL =          "http://docserver.carma.newcastle.edu.au/264/;
                 http://link.springer.com/article/10.1007/s10758-005-5216-x;
                 https://web.archive.org/web/20040330173752/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  journal-URL =  "http://link.springer.com/journal/10758",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark-1 =     "CECM Preprint 02:178; 264.",
  remark-2 =     "Journal renamed in 2011 to \booktitle{Technology,
                 knowledge and learning}.",
}

@Article{Borwein:2005:KCM,
  author =       "Jonathan Borwein and Terry Stanway",
  title =        "Knowledge and Community in Mathematics",
  journal =      j-MATH-INTEL,
  volume =       "27",
  number =       "2",
  pages =        "7--16",
  year =         "2005",
  CODEN =        "MAINDC",
  DOI =          "https://doi.org/10.1007/BF02985788",
  ISSN =         "0343-6993 (print), 1866-7414 (electronic)",
  ISSN-L =       "0343-6993",
  MRclass =      "01A80 (00A05)",
  MRnumber =     "2156530",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/274/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Mathematical Intelligencer",
  journal-URL =  "http://link.springer.com/journal/283",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CoLab Preprint 274.",
}

@Article{Borwein:2005:LFM,
  author =       "Jonathan M. Borwein and Xianfu Wang",
  title =        "{Lipschitz} functions with maximal {Clarke}
                 subdifferentials are staunch",
  journal =      j-BULL-AUSTRAL-MATH-SOC,
  volume =       "72",
  number =       "3",
  pages =        "491--496",
  year =         "2005",
  CODEN =        "ALNBAB",
  DOI =          "https://doi.org/10.1017/S0004972700035322",
  ISSN =         "0004-9727 (print), 1755-1633 (electronic)",
  ISSN-L =       "0004-9727",
  MRclass =      "49J52 (26B05 26E25 54C30)",
  MRnumber =     "2199651",
  MRreviewer =   "Dariusz Zagrodny",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/302/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4829356",
  abstract =     "In a recent paper we have shown that most
                 non-expansive Lipschitz functions (in the sense of
                 Baire's category) have a maximal Clarke sub
                 differential. In the present paper, we show that in a
                 separable Banach space the set of non-expansive
                 Lipschitz functions with a maximal Clarke
                 subdifferential is not only generic, but also staunch
                 in the space of non-expansive functions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Bulletin of the Australian Mathematical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2005:LFM",
}

@InProceedings{Borwein:2005:PFW,
  author =       "Jonathan M. Borwein and Mason Macklem and Jaehyun
                 Paek",
  editor =       "????",
  booktitle =    "SIAM Conference on Computational Science and
                 Engineering, Orlando, February 2005",
  title =        "A Prototype for the Federated World Directory of
                 Mathematicians",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "??--??",
  year =         "2005",
  bibdate =      "Sat Aug 13 17:23:15 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2005:SSA,
  author =       "J. M. Borwein and David M. Bradley",
  title =        "Searching symbolically for {Ap{\'e}ry}-like formulae
                 for values of the {Riemann} zeta function",
  journal =      "ArXiv Mathematics e-prints",
  month =        may,
  year =         "2005",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/2005math......5093B;
                 http://docserver.carma.newcastle.edu.au/170/",
  abstract =     "We discuss some aspects of the search for identities
                 using computer algebra and symbolic methods. The focus
                 is on so-called Ap{\'e}ry-like formulae for special
                 values of the Riemann Zeta function. Much work lays
                 ahead in formally proving and properly classifying many
                 of the identities we have uncovered.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "math/0505093",
  keywords =     "Mathematics - Classical Analysis and ODEs, Mathematics
                 - Number Theory, 11M06",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2005:TFI,
  author =       "Jonathan M. Borwein and David M. Bradley",
  title =        "On Two Fundamental Identities for {Euler} Sums",
  journal =      "arxiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        feb,
  year =         "2005",
  bibdate =      "Tue Aug 16 10:16:43 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://arxiv.org/abs/math.NT/0502034/;
                 http://docserver.carma.newcastle.edu.au/279/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "The archive.org URL is wrong: it points to the
                 \title{Thirty-two Goldbach Variations} paper.",
}

@Article{Borwein:2005:TTG,
  author =       "J. M. Borwein and David M. Bradley",
  title =        "Thirty-two {Goldbach} Variations",
  journal =      "ArXiv Mathematics e-prints",
  day =          "1",
  month =        feb,
  year =         "2005",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/2005math......2034B;
                 http://arxiv.org/abs/math/0502034;
                 http://docserver.carma.newcastle.edu.au/301/",
  abstract =     "We give thirty-two diverse proofs of a small
                 mathematical gem --- the fundamental Euler sum identity
                 $$ \zeta (2, 1) = \zeta (3) = 8 \zeta (\bar 2, 1) $$.
                 We also discuss various generalizations for multiple
                 harmonic (Euler) sums and some of their many
                 connections, thereby illustrating both the wide variety
                 of techniques fruitfully used to study such sums and
                 the attraction of their study.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "math/0502034",
  keywords =     "Mathematics - Number Theory, 11M41",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "v1 (1 February 2005): 34 pages AMSLaTeX. v2 (3
                 November 2005): 41 pages AMSLaTeX. New introductory
                 material added and material on inequalities, Hilbert
                 matrix and Witten zeta functions. Errors in the second
                 section on Complex Line Integrals are corrected.
                 Published in \cite{Borwein:2006:TTG}.",
}

@Book{Borwein:2005:TVA,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "Techniques of Variational Analysis",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "vi + 362",
  year =         "2005",
  DOI =          "https://doi.org/10.1007/0-387-28271-8",
  ISBN =         "0-387-24298-8",
  ISBN-13 =      "978-0-387-24298-9",
  MRclass =      "49-02 (49J52 49J53 90-02)",
  MRnumber =     "2144010",
  MRreviewer =   "Richard B. Vinter",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "CMS Books in Mathematics/Ouvrages de Math{\'e}matiques
                 de la SMC, 20",
  URL =          "http://docserver.carma.newcastle.edu.au/1735/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  tableofcontents = "Front Matter / i--vi \\
                 Introduction and Notation / 1--4 \\
                 Variational Principles / 5--36 \\
                 Variational Techniques in Subdifferential Theory /
                 37--109 \\
                 Variational Techniques in Convex Analysis / 111--163
                 \\
                 Variational Techniques and Multifunctions / 165--241
                 \\
                 Variational Principles in Nonlinear Functional Analysis
                 / 243--289 \\
                 Variational Techniques In the Presence of Symmetry /
                 291--338 \\
                 Back Matter / 339--362",
}

@InProceedings{Bailey:2006:EBE,
  author =       "D. H. Bailey and J. M. Borwein",
  booktitle =    "20th International Symposium on High-Performance
                 Computing in an Advanced Collaborative Environment
                 (HPCS'06)",
  title =        "Effective Bounds in {Euler--Maclaurin}-Based
                 Quadrature (Summary for {HPCS06})",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "34--34",
  month =        may,
  year =         "2006",
  DOI =          "https://doi.org/10.1109/HPCS.2006.22",
  ISSN =         "1550-5243 (print), 2378-2099 (electronic)",
  ISSN-L =       "1550-5243",
  bibdate =      "Wed Aug 10 12:08:56 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.davidhbailey.com/dhbpapers/hpcs06.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Approximation error; Computer errors; Computer
                 science; Concurrent computing; Error analysis;
                 International collaboration; Mathematics; System
                 testing",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Bailey:2006:EDA,
  author =       "David H. Bailey and Jonathan M. Borwein and David M.
                 Bradley",
  title =        "Experimental Determination of {Ap{\'e}ry}-like
                 Identities for $ \zeta (2 n + 2) $",
  journal =      j-EXP-MATH,
  volume =       "15",
  number =       "3",
  pages =        "281--289",
  year =         "2006",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/10586458.2006.10128968",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  MRclass =      "11Y60 (11M06)",
  MRnumber =     "2264467",
  MRreviewer =   "Tanguy Rivoal",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/expmath.bib;
                 http://www.tandfonline.com/toc/uexm20/15/3",
  URL =          "http://docserver.carma.newcastle.edu.au/295/;
                 http://projecteuclid.org/euclid.em/1175789759",
  abstract =     "We document the discovery of two generating functions
                 for $ \zeta (2 n + 2) $, analogous to earlier work for
                 $ \zeta (2 n + 1) $ and $ \zeta (4 n + 3) $, initiated
                 by Koecher and pursued further by Borwein, Bradley, and
                 others.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  onlinedate =   "30 Jan 2011",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Bailey:2006:EDA",
}

@TechReport{Bailey:2006:FGE,
  author =       "David H. Bailey and Jonathan M. Borwein",
  title =        "Finding General Explicit Formulas for {Ising} Integral
                 Recursions",
  type =         "Report",
  institution =  "Lawrence Berkeley National Laboratory and Faculty of
                 Computer Science, Dalhousie University",
  address =      "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5,
                 Canada",
  day =          "2",
  month =        oct,
  year =         "2006",
  bibdate =      "Fri Sep 30 08:18:51 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.davidhbailey.com/dhbpapers/ising-int.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "$K_0$ modified Bessel function; ARPREC multiprecision
                 software system",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}

@Article{Bailey:2006:IIC,
  author =       "D. H. Bailey and J. M. Borwein and R. E. Crandall",
  title =        "Integrals of the {Ising} class",
  journal =      j-J-PHYS-A,
  volume =       "39",
  number =       "40",
  pages =        "12271--12302",
  month =        oct,
  year =         "2006",
  CODEN =        "JPHAC5",
  DOI =          "https://doi.org/10.1088/0305-4470/39/40/001",
  ISSN =         "0305-4470 (print), 1361-6447 (electronic)",
  ISSN-L =       "0305-4470",
  MRclass =      "33F05 (33F10 65D30 82B20 82B80)",
  MRnumber =     "2261886",
  MRreviewer =   "Syamal K. Sen",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
  URL =          "http://adsabs.harvard.edu/abs/2006JPhA...39..001B;
                 http://docserver.carma.newcastle.edu.au/324/;
                 http://iopscience.iop.org/article/10.1088/0305-4470/39/40/001;
                 http://stacks.iop.org/0305-4470/39/i=40/a=001",
  abstract =     "From an experimental-mathematical perspective we
                 analyse 'Ising-class' integrals. These are structurally
                 related $n$-dimensional integrals we call $ C_n$, $
                 D_n$, $ E_n$, where $ D_n$ is a magnetic susceptibility
                 integral central to the Ising theory of solid-state
                 physics. We first analyse $ C_n \coloneq \frac {4}{n!}
                 \int_0^\infty \cdots \int_0^\infty \frac { 1 } { \big
                 (\sum_{ j = 1 }^n (u_j + 1 / u_j) \big)^2 } \frac { d
                 u_1 } { u_1 } \cdots \frac { d u_n } { u_n }$.\par

                 We had conjectured --- on the basis of
                 extreme-precision numerical quadrature --- that $ C_n $
                 has a finite large-$n$ limit, namely $ C_\infty = 2
                 e^{-2} $, with $ \gamma $ being the Euler constant. On
                 such a numerological clue we are able to prove the
                 conjecture. We then show that integrals $ D_n $ and $
                 E_n $ both decay exponentially with $n$, in a certain
                 rigorous sense. While $ C_n $, $ D_n $ remain
                 unresolved for $ n \geq 5 $, we were able to conjecture
                 a closed form for $ E_5 $. Our experimental results
                 involved extreme-precision, multidimensional quadrature
                 on intricate integrands; thus, a highly parallel
                 computation was required.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Physics A (Mathematical and General)",
  journal-URL =  "http://iopscience.iop.org/1751-8121",
  onlinedate =   "19 September 2006",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "See improvements in \cite{Dolgov:2020:PCI}.",
}

@Article{Bailey:2006:TPE,
  author =       "David H. Bailey and Jonathan M. Borwein and Vishaal
                 Kapoor and Eric W. Weisstein",
  title =        "Ten problems in experimental mathematics",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "113",
  number =       "6",
  pages =        "481--509",
  month =        jun # "\slash " # jul,
  year =         "2006",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/27641975",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "65-02 (11Y60 37E05 37G10 65-05 68-02)",
  MRnumber =     "2231135",
  MRreviewer =   "Vasily A. Chernecky",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1237/;
                 http://www.jstor.org/stable/27641975",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  remark =       "CoLab Preprint 270.",
}

@InCollection{Borwein:2006:AWM,
  author =       "Jonathan M. Borwein",
  editor =       "N. Sinclair and W. Higginson",
  booktitle =    "Mathematics and the aesthetic",
  title =        "Aesthetics for the working mathematician",
  volume =       "25",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "21--40",
  year =         "2006",
  MRclass =      "00A05 (00A99 11A99 11Y99)",
  MRnumber =     "2274212",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "CMS Books Math./Ouvrages Math. SMC",
  URL =          "http://docserver.carma.newcastle.edu.au/150/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 01:165.",
}

@Article{Borwein:2006:BDE,
  author =       "Jonathan Borwein and Vicente Montesinos and Jon
                 Vanderwerff",
  title =        "Boundedness, differentiability and extensions of
                 convex functions",
  journal =      j-J-CONVEX-ANAL,
  volume =       "13",
  number =       "3--4",
  pages =        "587--602",
  year =         "2006",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "46G05 (46N10 49J50 52A41)",
  MRnumber =     "2291553",
  MRreviewer =   "Lud{\v{e}}k Zaj{\'{\i}}{\v{c}}ek",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/288/;
                 http://www.heldermann.de/JCA/JCA13/JCA133/jca13046.htm",
  abstract =     "We survey various boundedness, differentiability and
                 extendibility properties of convex functions, and how
                 they are related to sequential convergence with respect
                 to various topologies in the dual space. It is also
                 shown that if $ X / Y $ is separable then every
                 continuous convex function on $Y$ can be extended to a
                 continuous convex function on $X$.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2006:BDE",
}

@Book{Borwein:2006:CAN,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Convex analysis and nonlinear optimization",
  volume =       "3",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "xii + 310",
  year =         "2006",
  DOI =          "https://doi.org/10.1007/978-0-387-31256-9",
  ISBN =         "0-387-29570-4",
  ISBN-13 =      "978-0-387-29570-1",
  MRclass =      "49-01 (46N10 47N10 49-02 49J53 90-01)",
  MRnumber =     "2184742",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Theory and examples.",
  series =       "CMS Books in Mathematics\slash Ouvrages de
                 Math{\'e}matiques de la SMC",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  tableofcontents = "Front Matter / i--xii \\
                 Background / 1--14 \\
                 Inequality Constraints / 15--32 \\
                 Fenchel Duality / 33--63 \\
                 Convex Analysis / 65--96 \\
                 Special Cases / 97--122 \\
                 Nonsmooth Optimization / 123--152 \\
                 Karush--Kuhn--Tucker Theory / 153--177 \\
                 Fixed Points / 179--211 \\
                 More Nonsmooth Structure / 213--238 \\
                 Postscript: Infinite Versus Finite Dimensions /
                 239--251 \\
                 List of Results and Notation / 253--273 \\
                 Back Matter / 275--310",
}

@Article{Borwein:2006:DLP,
  author =       "Jonathan M. Borwein and Mason S. Macklem",
  title =        "The (digital) life of {Pi}",
  journal =      j-AUSTRALIAN-MATH-SOC-GAZ,
  volume =       "33",
  number =       "4",
  pages =        "243--248",
  month =        sep,
  year =         "2006",
  ISSN =         "0311-0729 (print), 1326-2297 (electronic)",
  ISSN-L =       "0311-0729",
  MRclass =      "11Y60 (65B99)",
  MRnumber =     "2259732",
  MRreviewer =   "Khodabakhsh Hessami Pilehrood",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/267/;
                 http://www.austms.org.au/Publ/Gazette/2006/Sep06/pi.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Australian Mathematical Society. Gazette",
  journal-URL =  "http://www.austms.org.au/gazette",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Book{Borwein:2006:EM,
  author =       "Jonathan M. Borwein and David H. Bailey and Roland
                 Girgensohn",
  title =        "Experiments in Mathematics",
  publisher =    pub-A-K-PETERS,
  address =      pub-A-K-PETERS:adr,
  pages =        "14 + vi + 294 + viii + 363",
  year =         "2006",
  ISBN =         "1-56881-283-3, 1-56881-211-6, 1-56881-136-5",
  ISBN-13 =      "978-1-56881-283-0, 978-1-56881-211-3,
                 978-1-56881-136-9",
  LCCN =         "QA76.95 .E9 2006",
  bibdate =      "Tue Aug 16 08:45:42 MDT 2016",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Combined interactive CD version.",
  abstract =     "Contains the full text of: Mathematics by experiment:
                 plausible reasoning in the 21st century; and,
                 Experimentation in mathematics: computational paths to
                 discovery, in electronic, searchable form. Includes
                 hyperlinks for all cross references, Internet URLs, and
                 bibliographical references. Enhanced search function
                 helps with particular formulas or expressions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  tableofcontents = "Preface to the CD-ROM edition \\
                 Mathematics by experiment: plausible reasoning in the
                 21st century / Jonathan Borwein and David Bailey \\
                 Experimentation in mathematics: computational paths to
                 discovery / Jonathan Borwein, David Bailey, and Roland
                 Girgensohn",
}

@Article{Borwein:2006:FRO,
  author =       "Jonathan M. Borwein",
  title =        "Featured Review: {{\booktitle{Oxford Users' Guide to
                 Mathematics}}. Edited by Eberhard Zeidler. Oxford
                 University Press, Oxford, 2004. \$59.50. xxii + 1285
                 pp., softcover. ISBN 0-19-850763-1}",
  journal =      j-SIAM-REVIEW,
  volume =       "48",
  number =       "3",
  pages =        "585--594",
  month =        sep,
  year =         "2006",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000048000003000585000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Wed Aug 31 09:49:49 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/doi/abs/10.1137/SIREAD000048000003000585000001;
                 http://www.jstor.org/stable/20453842",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2006:MMC,
  author =       "Jonathan M. Borwein",
  title =        "Maximal monotonicity via convex analysis",
  journal =      j-J-CONVEX-ANAL,
  volume =       "13",
  number =       "3--4",
  pages =        "561--586",
  year =         "2006",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "47H05 (47N10 49J53)",
  MRnumber =     "2291552",
  MRreviewer =   "Andrew C. Eberhard",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1235/;
                 http://www.heldermann.de/JCA/JCA13/JCA133/jca13045.htm",
  abstract =     "In his `23' ``Mathematische Probleme''(1) lecture to
                 the Paris International Congress in 1900, David Hilbert
                 wrote ``Besides it is an error to believe that rigor in
                 the proof is the enemy of simplicity.'' In this spirit,
                 we use simple convex analytic methods, relying on an
                 ingenious function due to Simon Fitzpatrick, to provide
                 a concise proof of the maximality of the sum of two
                 maximal monotone operators on reflexive Banach space
                 under standard transversality conditions. Many other
                 extension, surjectivity, convexity and local
                 boundedness results are likewise established.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2006:MMC",
}

@Unpublished{Borwein:2006:MS,
  author =       "Jonathan Borwein and Helaman Ferguson",
  title =        "The mathematics of salt",
  month =        dec,
  year =         "2006",
  bibdate =      "Tue Aug 16 10:05:43 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Preprint.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2006:MST,
  author =       "Jonathan M. Borwein",
  title =        "Maximality of sums of two maximal monotone operators",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "134",
  number =       "10",
  pages =        "2951--2955",
  year =         "2006",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-06-08323-7",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "47H05 (46A22 46N10 47N10 49J53)",
  MRnumber =     "2231619",
  MRreviewer =   "Teemu Pennanen",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1234/;
                 http://www.jstor.org/stable/4098152",
  abstract =     "We use methods from convex analysis, relying on an
                 ingenious function of Simon Fitzpatrick, to prove
                 maximality of the sum of two maximal monotone operators
                 on reflexive Banach space under weak transversality
                 conditions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2006:MST",
}

@Article{Borwein:2006:PES,
  author =       "David Borwein and Jonathan M. Borwein and David M.
                 Bradley",
  title =        "Parametric {Euler} sum identities",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "316",
  number =       "1",
  pages =        "328--338",
  month =        apr,
  year =         "2006",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/j.jmaa.2005.04.040",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "11M41",
  MRnumber =     "2201764",
  MRreviewer =   "Junesang Choi",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/2006JMAA..316..328B;
                 http://docserver.carma.newcastle.edu.au/1236/;
                 http://www.sciencedirect.com/science/article/pii/S0022247X05003811",
  abstract =     "We consider some parametrized classes of multiple sums
                 first studied by Euler. Identities between meromorphic
                 functions of one or more variables in many cases
                 account for reduction formulae for these sums.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  eprint =       "math/0505058",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  keywords =     "Euler sums; Generating functions; Multiple zeta
                 values; Zeta functions",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Unpublished{Borwein:2006:QCT,
  author =       "Jonathan Borwein and Peter (Liquin) Ye",
  title =        "Quadratic Convergence of the Tanh--Sinh Quadrature
                 Rule",
  month =        feb,
  year =         "2006",
  bibdate =      "Tue Aug 16 10:18:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Preprint.",
  URL =          "http://docserver.carma.newcastle.edu.au/342/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@InProceedings{Borwein:2006:SCM,
  author =       "Jonathan M. Borwein and Chris H. Hamilton",
  booktitle =    "Proceedings of the 2006 International Symposium on
                 Symbolic and Algebraic Computation: {ISSAC 2006}",
  title =        "Symbolic Computation of Multidimensional {Fenchel}
                 Conjugates",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "23--30",
  year =         "2006",
  DOI =          "https://doi.org/10.1145/1145768.1145780",
  ISBN =         "1-59593-276-3",
  ISBN-13 =      "978-1-59593-276-1",
  MRclass =      "68W30 (65K10)",
  MRnumber =     "2289097",
  bibdate =      "Wed Aug 10 12:08:56 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "ISSAC '06",
  URL =          "http://doi.acm.org/10.1145/1145768.1145780",
  acknowledgement = ack-nhfb,
  acmid =        "1145780",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Fenchel conjugate, Legendre--Fenchel transform,
                 computer proofs, inequalities, subdifferential,
                 subgradient",
  location =     "Genoa, Italy",
  numpages =     "8",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2006:SFM,
  author =       "Jonathan Borwein",
  title =        "{Simon Fitzpatrick} memorial volume",
  journal =      j-J-CONVEX-ANAL,
  volume =       "13",
  number =       "3--4",
  pages =        "463--476",
  year =         "2006",
  ISSN =         "0944-6532 (print), 2363-6394 (electronic)",
  MRclass =      "01A70",
  MRnumber =     "2291547",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Introduction to Fitzpatrick memorial volume.",
  URL =          "http://www.heldermann.de/JCA/JCA13/JCA133/jca13040.htm",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Convex Analysis",
  journal-URL =  "http://www.heldermann.de/JCA/jcacon.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}

@Article{Borwein:2006:TTG,
  author =       "Jonathan M. Borwein and David M. Bradley",
  title =        "Thirty-two {Goldbach} variations",
  journal =      j-INT-J-NUMBER-THEORY,
  volume =       "2",
  number =       "1",
  pages =        "65--103",
  month =        mar,
  year =         "2006",
  DOI =          "https://doi.org/10.1142/S1793042106000383",
  ISSN =         "1793-0421 (print), 1793-7310 (electronic)",
  ISSN-L =       "1793-0421",
  MRclass =      "11M41 (11M06)",
  MRnumber =     "2217795",
  MRreviewer =   "F. Beukers",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/301/;
                 https://www.worldscientific.com/doi/10.1142/S1793042106000383",
  abstract =     "We give thirty-two diverse proofs of a small
                 mathematical gem --- the fundamental Euler sum identity
                 $ \zeta (2, 1) = \zeta (3) = 8 \zeta (\bar {2}, 1) $.
                 We also discuss various generalizations for multiple
                 harmonic (Euler) sums and some of their many
                 connections, thereby illustrating both the wide variety
                 of techniques fruitfully used to study such sums and
                 the attraction of their study.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "International Journal of Number Theory (IJNT)",
  journal-URL =  "https://www.worldscientific.com/worldscinet/ijnt",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  researcherid-numbers = "Borwein, Jonathan/A-6082-2009",
  unique-id =    "Borwein:2006:TTG",
}

@Article{Borwein:2006:VMC,
  author =       "Jonathan M. Borwein and Qiji J. Zhu",
  title =        "Variational methods in convex analys