%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Henry Wolkowicz", %%% version = "1.44", %%% date = "17 November 2023", %%% time = "13:05:53 MST", %%% filename = "wolkowicz-henry.bib", %%% address = "Dept of Comb and Opt %%% University of Waterloo %%% Waterloo, Ont. %%% Canada N2L 3G1", %%% telephone = "(519) 888-4567 ext. 15589", %%% FAX = "+1 519 725 5441", %%% checksum = "26537 4798 18209 193908", %%% email = "hwolkowi at orion.uwaterloo.ca (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "Optimization, Numerical Linear Algebra", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% Henry Wolkowicz. The companion LaTeX file %%% wolkowicz-henry.ltx can be used to typeset %%% this bibliography. %%% %%% At version 1.44, the year coverage looked %%% like this: %%% %%% 1975 ( 1) 1991 ( 4) 2007 ( 3) %%% 1976 ( 0) 1992 ( 7) 2008 ( 1) %%% 1977 ( 0) 1993 ( 3) 2009 ( 3) %%% 1978 ( 3) 1994 ( 14) 2010 ( 4) %%% 1979 ( 3) 1995 ( 9) 2011 ( 3) %%% 1980 ( 9) 1996 ( 6) 2012 ( 5) %%% 1981 ( 10) 1997 ( 8) 2013 ( 5) %%% 1982 ( 6) 1998 ( 10) 2014 ( 2) %%% 1983 ( 6) 1999 ( 7) 2015 ( 4) %%% 1984 ( 4) 2000 ( 12) 2016 ( 1) %%% 1985 ( 8) 2001 ( 14) 2017 ( 4) %%% 1986 ( 5) 2002 ( 14) 2018 ( 3) %%% 1987 ( 5) 2003 ( 5) 2019 ( 1) %%% 1988 ( 4) 2004 ( 2) 2020 ( 2) %%% 1989 ( 3) 2005 ( 2) 2021 ( 3) %%% 1990 ( 3) 2006 ( 1) 2022 ( 1) %%% 19xx ( 6) %%% %%% Article: 131 %%% Book: 13 %%% InCollection: 16 %%% InProceedings: 10 %%% MastersThesis: 10 %%% PhdThesis: 5 %%% Proceedings: 11 %%% TechReport: 41 %%% Unpublished: 2 %%% %%% Total entries: 239 %%% %%% This file is available as part of the BibNet %%% Project. The master copy is available for %%% public access on ftp.math.utah.edu in the %%% directory tree /pub/bibnet/authors. It is %%% mirrored to netlib.bell-labs.com in the directory %%% tree /netlib/bibnet/authors, from which it is %%% available via anonymous ftp and the Netlib %%% service. %%% %%% 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" }

%%% ==================================================================== %%% Institution abbreviations:

@String{inst-UNIV-ALBERTA= "The University of Alberta"} @String{inst-UNIV-ALBERTA:adr= "Edmonton, AB, Canada"} @String{inst-UNIV-WATERLOO= "University of Waterloo"} @String{inst-UNIV-WATERLOO:adr= "Waterloo, ON, Canada"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ACM-COMM-COMP-ALGEBRA= "ACM Communications in Computer Algebra"} @String{j-ACTA-SCI-MATH-SZEGED= "Acta Scientiarum Mathematicarum (Szeged)"} @String{j-AMER-MATH-MONTHLY= "American Mathematical Monthly"} @String{j-AMER-STAT= "The American Statistician"} @String{j-ANN-OPER-RESEARCH= "Annals of Operations Research"} @String{j-APPL-MATH-NOTES= "Applied Mathematics Notes"} @String{j-AUSTRALIAN-MATH-SOC-SERIES-A= "Journal of the Australian Mathematical Society. Series A: Pure mathematics"} @String{j-COMP-OPTIM-APPL= "Computational optimization and applications"} @String{j-DISCRETE-APPL-MATH= "Discrete Applied Mathematics"} @String{j-EUR-J-OPER-RES= "European Journal of Operational Research"} @String{j-INFORMS-J-COMPUT= "INFORMS Journal on Computing"} @String{j-J-APPL-MATH= "Journal of Applied Mathematics"} @String{j-J-AUSTRAL-MATH-SOC-SER-A= "Journal of the Australian Mathematical Society. Series A: Pure Mathematics and Statistics"} @String{j-J-COMB-OPTIM= "Journal of Combinatorial Optimization"} @String{j-J-COMPUT-BIOL= "Journal of Computational Biology"} @String{j-J-GLOBAL-OPT= "Journal of Global Optimization"} @String{j-J-MATH-ANAL-APPL= "Journal of Mathematical Analysis and Applications"} @String{j-J-OPT-THEORY-APPL= "Journal of Optimization Theory and Applications"} @String{j-LIN-AND-MULT-ALGEBRA= "Linear and Multilinear Algebra"} @String{j-LIN-MULT-ALGEBRA= "Linear Multilinear Algebra"} @String{j-LINEAR-ALGEBRA-APPL= "Linear Algebra and Its Applications"} @String{j-MATH-COMP= "Math. Comp."} @String{j-MATH-COMPUT= "Mathematics of Computation"} @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-PROGRAM-COMPUT= "Mathematical Programming Computation"} @String{j-NRLQ= "Naval Research Logistics Quarterly"} @String{j-OPTIM-ENG= "Optimization and Engineering"} @String{j-OPTIM-METHODS-SOFTW= "Optimization Methods \& Software"} @String{j-PORT-MATH= "Portugaliae Mathematica"} @String{j-QUANTUM-INF-PROCESS= "Quantum Information Processing"} @String{j-SIAM-J-ALG-DISC-METH= "SIAM Journal on Algebraic and Discrete Methods"} @String{j-SIAM-J-MAT-ANA-APPL= "SIAM Journal on Matrix Analysis and Applications"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-SIAM-J-OPT= "SIAM Journal on Optimization"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-UTIL-MATH= "Utilitas Mathematica"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, NY, USA"} @String{pub-AMS= "American Mathematical Society"} @String{pub-AMS:adr= "Providence, RI, USA"} @String{pub-DEKKER= "Marcel Dekker, Inc."} @String{pub-DEKKER:adr= "New York, NY, USA"} @String{pub-ELSEVIER-SCIENCE= "Elsevier Science, Inc."} @String{pub-ELSEVIER-SCIENCE:adr= "Amsterdam, The Netherlands"} @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"} @String{pub-KLUWER:adr= "Dordrecht, The Netherlands~/ Boston, MA"} @String{pub-NORTH-HOLLAND= "North-Hol{\-}land"} @String{pub-NORTH-HOLLAND:adr= "Amsterdam, The Netherlands"} @String{pub-OXFORD= "Oxford University Press"} @String{pub-OXFORD:adr= "Walton Street, Oxford OX2 6DP, UK"} @String{pub-SV= "Springer-Verlag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-WATERLOO= "University of Waterloo"} @String{pub-WATERLOO:adr= "Waterloo, ON, Canada"} @String{pub-WATERLOO-PRESS= "University of Waterloo Press"} @String{pub-WATERLOO-PRESS:adr= "Waterloo, ON, Canada"} @String{pub-WI= "Wiley-In{\-}ter{\-}sci{\-}ence"} @String{pub-WI:adr= "New York, NY, USA"}

%%% ==================================================================== %%% Series abbreviations:

@String{ser-LNCS= "Lecture Notes in Computer Science"}

%%% ==================================================================== %%% Bibliography entries, sorted by increasing year:

@MastersThesis{Wolkowicz:1975:KGT, author = "Henry Wolkowicz", title = "{Kantorovich}'s general theory of approximation methods", type = "M.Sc. Thesis", school = "McGill University", address = "Montr{\'e}al, PQ, Canada", year = "1975", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "M.Sc. Thesis", } @PhdThesis{Wolkowicz:1978:CAA, author = "Henry Wolkowicz", title = "Constructive approaches to approximate solutions of operator equations and convex programming", school = "McGill University", address = "Montr{\'e}al, PQ, Canada", year = "1978", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Wolkowicz:1978:CBA, author = "H. Wolkowicz and S. Zlobec", title = "Calculating the best approximate solution of an operator equation", journal = j-MATH-COMPUT, volume = "32", number = "144", pages = "1183--1213", month = oct, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J05 (47A50)", MRnumber = "58 #13701", MRreviewer = "P. M. Anselone", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; JSTOR database", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; Banach spaces; best approximate solution; bounded; closed range; linear; operator equation", treatment = "T Theoretical or Mathematical", } @Article{Wolkowicz:1978:CCD, author = "H. Wolkowicz", title = "Calculating the cone of directions of constancy", journal = j-J-OPT-THEORY-APPL, volume = "25", number = "3", pages = "451--457", year = "1978", CODEN = "JOTABN", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C25", MRnumber = "58 #25996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @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 = "Dalhousie University", address = "Halifax, NS, Canada", year = "1979", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @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, } @Article{Wolkowicz:1979:ESI, author = "H. Wolkowicz and G. P. H. Styan", title = "Extensions of {Samuelson}'s inequality", journal = j-AMER-STAT, volume = "33", number = "3", pages = "143--144", year = "1979", CODEN = "ASTAAJ", ISSN = "0003-1305 (print), 1537-2731 (electronic)", ISSN-L = "0003-1305", MRclass = "62G30 (60E15)", MRnumber = "80h:62038", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "The American Statistician", journal-URL = "http://www.tandfonline.com/loi/utas20", } @Article{Kempthorne:1980:LE, author = "Oscar Kempthorne and D. G. Kabe and K. R. Nair and Henry Wolkowicz and George P. H. Styan and James R. Lackritz and Samuel Leinhardt and Stanley Wasserman and Libert Ehrman and Robert J. K. Jacob and William C. Shelton and Stephen E. Fienberg and Ruma Falk and Gary G. Koch and John Neter", title = "Letters to the {Editor}", journal = j-AMER-STAT, volume = "34", number = "4", pages = "249--254", month = nov, year = "1980", CODEN = "ASTAAJ", ISSN = "0003-1305 (print), 1537-2731 (electronic)", ISSN-L = "0003-1305", bibdate = "Fri Jan 27 12:40:27 MST 2012", bibsource = "http://www.jstor.org/journals/00031305.html; http://www.jstor.org/stable/i326409; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/amstat1980.bib", URL = "http://www.jstor.org/stable/2684078", acknowledgement = ack-nhfb, fjournal = "The American Statistician", journal-URL = "http://www.tandfonline.com/loi/utas20", } @Article{Wolkowicz:1980:BEU, author = "H. Wolkowicz and G. P. H. Styan", title = "Bounds for eigenvalues using traces", journal = j-LINEAR-ALGEBRA-APPL, volume = "29", pages = "471--506", year = "1980", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A18", MRnumber = "81k:15015", MRreviewer = "M. Shafqat Ali", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Wolkowicz:1980:CPE, author = "H. Wolkowicz", title = "Convex programs with equivalent duals", journal = j-APPL-MATH-NOTES, volume = "5", number = "2", pages = "45--62", year = "1980", ISSN = "0700-9224", ISSN-L = "0700-9224", MRclass = "90C25", MRnumber = "81h:90121", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Invited paper.", fjournal = "Applied Mathematics Notes", } @Article{Wolkowicz:1980:GOC, author = "H. Wolkowicz", title = "Geometry of optimality conditions and constraint qualifications: The convex case", journal = j-MATH-PROG, volume = "19", number = "1", pages = "32--60", year = "1980", CODEN = "MHPGA4", ISSN = "0025-5610", MRclass = "90C25", MRnumber = "83b:90130", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Wolkowicz:1980:HSI, author = "H. Wolkowicz and G. P. H. Styan", title = "A history of {Samuelson}'s inequality", journal = j-AMER-STAT, volume = "34", pages = "250", year = "1980", CODEN = "ASTAAJ", ISSN = "0003-1305 (print), 1537-2731 (electronic)", ISSN-L = "0003-1305", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "The American Statistician", journal-URL = "http://www.tandfonline.com/loi/utas20", } @Article{Wolkowicz:1980:MBE, author = "H. Wolkowicz and G. P. H. Styan", title = "More bounds for eigenvalues using traces", journal = j-LINEAR-ALGEBRA-APPL, volume = "31", pages = "1--17", year = "1980", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A18 (65F15)", MRnumber = "81k:15016", MRreviewer = "J. Segethov{\'a}", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @TechReport{Wolkowicz:1980:OCA, author = "H. Wolkowicz", title = "Optimality and the cone of affine directions", type = "Research Report", institution = inst-UNIV-ALBERTA, address = inst-UNIV-ALBERTA:adr, year = "1980", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Wolkowicz:1980:SPU, author = "H. Wolkowicz", title = "Shadow prices for an unstable convex program", journal = j-UTIL-MATH, volume = "18", pages = "119--139", year = "1980", CODEN = "UTMADA", ISSN = "0315-3681", MRclass = "90C25", MRnumber = "82d:90100", MRreviewer = "Roger Hartley", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Report No. 15 Dalhousie University.", fjournal = "Utilitas Mathematica. A Canadian Journal of Applied Mathematics, Computer Science, and Statistics", } @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, 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, 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", } @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://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5441184", ZMnumber = "0464.90086", acknowledgement = ack-nhfb, fjournal = "Journal of the Australian Mathematical Society. Series A", journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ", remark = "Check year?? Cambridge Web site is temporarily offline on 31 August 2016, and issues in this volume depend on the year.", } @Article{Borwein:1981:RAC, author = "J. M. Borwein and H. Wolkowicz", title = "Regularizing the abstract convex program", journal = j-J-MATH-ANAL-APPL, volume = "83", number = "2", pages = "495--530", year = "1981", CODEN = "JMANAK", ISSN = "0022-247x (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "90C48 (90C25)", MRnumber = "83d:90236", MRreviewer = "S. Zlobec", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @TechReport{Massam:1981:RCA, author = "Helene Massam and H. Wolkowicz", title = "Regularization and convex approximation", type = "Research Report", institution = inst-UNIV-ALBERTA, address = inst-UNIV-ALBERTA:adr, year = "1981", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Wolkowicz:1981:BKR, author = "H. Wolkowicz", title = "Bounds for the {Kantorovich} ratio", type = "Research Report", institution = inst-UNIV-ALBERTA, address = inst-UNIV-ALBERTA:adr, year = "1981", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Wolkowicz:1981:CMO, author = "H. Wolkowicz", title = "A Constrained Matrix Optimization Problem", journal = j-SIAM-REVIEW, volume = "23", number = "1", pages = "101--101", month = "????", year = "1981", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1023010", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:53:16 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/23/1; 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, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1981", } @Article{Wolkowicz:1981:SAO, author = "H. Wolkowicz", title = "Some applications of optimization in matrix theory", journal = j-LINEAR-ALGEBRA-APPL, volume = "40", pages = "101--118", year = "1981", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "90C25 (15A48 65K05 90C05)", MRnumber = "84a:90067", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Wolkowicz:1981:STO, author = "H. Wolkowicz", title = "A strengthened test for optimality", journal = j-J-OPT-THEORY-APPL, volume = "35", number = "4", pages = "497--515", year = "1981", CODEN = "JOTABN", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C25", MRnumber = "84d:90088", MRreviewer = "Szymon Dolecki", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @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", MRclass = "90C25", MRnumber = "83k:90083 (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, fjournal = "Mathematical Programming Study", } @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, } @Article{Borwein:1982:SII, author = "J. M. Borwein and G. P. H. Styan and L. V. Foster and H. Wolkowicz", title = "Some Inequalities Involving Statistical Expressions", journal = j-SIAM-REVIEW, volume = "24", number = "3", pages = "340--342", month = jul, year = "1982", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1024072", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Jun 21 11:25:02 MDT 2013", bibsource = "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, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @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, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1982", } @Article{Deutsch:1982:PSSa, author = "Emeric Deutsch and Ron Adin and H. Kestelman and M. F. Kruelle and Daniel B. Shapiro and Henry Wolkowicz", title = "Problems and Solutions: Solutions of Elementary Problems: {E2849}", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "1", pages = "64--64", month = jan, year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:37 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; JSTOR database", note = "See also \cite{Deutsch:1980:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Wolkowicz:1982:CMO, author = "H. Wolkowicz", title = "A Constrained Matrix Optimization Problem", journal = j-SIAM-REVIEW, volume = "24", number = "1", pages = "83--83", month = "????", year = "1982", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1024015", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Jun 21 11:25:02 MDT 2013", bibsource = "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, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @TechReport{Grone:1983:CRS, author = "Robert Grone and Charles R. Johnson and E. {Marques de Sa} and Henry Wolkowicz", title = "Constrained ranges of sesquilinear forms", type = "Research Report", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1983", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Merikoski:1983:BRE, author = "J. Merikoski and G. P. H. Styan and H. Wolkowicz", title = "Bounds for ratios of eigenvalues using traces", journal = j-LINEAR-ALGEBRA-APPL, volume = "55", pages = "105--124", year = "1983", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A42 (65F15)", MRnumber = "85a:15019", MRreviewer = "Ludwig Elsner", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Wolkowicz:1983:MRC, author = "H. Wolkowicz", title = "The method of reduction in convex programming", journal = j-J-OPT-THEORY-APPL, volume = "40", number = "3", pages = "349--378", year = "1983", CODEN = "JOTABN", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C25", MRnumber = "85d:90077", MRreviewer = "S. Zlobec", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Wolkowicz:1983:OCN, author = "H. Wolkowicz", title = "An optimality condition for a nondifferentiable convex program", journal = j-NRLQ, volume = "30", number = "3", pages = "415--418", year = "1983", CODEN = "NRLQAR", ISSN = "0028-1441 (print), 1931-9193 (electronic)", ISSN-L = "0028-1441", MRclass = "90C25", MRnumber = "85a:90181", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Naval Research Logistics Quarterly", } @InProceedings{Wolkowicz:1983:OCS, author = "H. Wolkowicz", title = "Optimality conditions and shadow prices", crossref = "Fiacco:1983:MPD", pages = "49--63", year = "1983", MRclass = "90C25", MRnumber = "85b:90056", MRreviewer = "J. E. Spingarn", bibdate = "Mon Mar 6 22:00:29 MST 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Invited paper.", } @Article{Grone:1984:IHI, author = "Bob Grone and Charles Johnson and E. {Marques De S{\'a}} and Henry Wolkowicz", title = "Improving {Hadamard}'s inequality", journal = j-LIN-AND-MULT-ALGEBRA, volume = "16", number = "1--4", pages = "305--322", year = "1984", CODEN = "LNMLAZ", DOI = "https://doi.org/10.1080/03081088408817634", ISSN = "0308-1087 (print), 1563-5139 (electronic)", ISSN-L = "0308-1087", MRclass = "15A42 (15A15 15A45)", MRnumber = "87b:15024", bibdate = "Tue Sep 20 15:10:37 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib", URL = "http://www.tandfonline.com/doi/abs/10.1080/03081088408817634", acknowledgement = ack-nhfb, fjournal = "Linear and Multilinear Algebra", journal-URL = "http://www.tandfonline.com/loi/glma20", onlinedate = "5 November 2010", received = "15 November 1983", } @Article{Grone:1984:PDC, author = "Robert Grone and Charles R. Johnson and E. {Marques de S{\"a}} and Henry Wolkowicz", title = "Positive definite completions of partial {Hermitian} matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "58", pages = "109--124", year = "1984", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "05C50 (15A57)", MRnumber = "85d:05169", MRreviewer = "Larry Basen{\v{s}}piler", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Smith:1984:DBS, author = "P. W. Smith and Henry Wolkowicz", title = "Dimensionality of biinfinite systems", journal = j-LINEAR-ALGEBRA-APPL, volume = "57", number = "??", pages = "115--130", month = feb, year = "1984", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(84)90181-2", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A22 (15A21 15A54 41A05)", MRnumber = "86c:15010", bibdate = "Wed Nov 30 13:49:23 MST 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/linala1980.bib; http://www.sciencedirect.com/science/journal/00243795", URL = "http://www.sciencedirect.com/science/article/pii/0024379584901812", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Butler:1985:NSQ, author = "G. Butler and C. R. Johnson and H. Wolkowicz", title = "Nonnegative solutions of a quadratic matrix equation arising from comparison theorems in ordinary differential equations", journal = j-SIAM-J-ALG-DISC-METH, volume = "6", number = "1", pages = "47--53", year = "1985", CODEN = "SJAMDU", ISSN = "0196-5212 (print), 2168-345X (electronic)", ISSN-L = "0196-5212", MRclass = "34C11 (15A48)", MRnumber = "86f:34072", MRreviewer = "G. J. Etgen", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Society for Industrial and Applied Mathematics. Journal on Algebraic and Discrete Methods", journal-URL = "http://epubs.siam.org/loi/sjamdu", } @Article{Johnson:1985:LBS, author = "C. R. Johnson and Ravindar Kumar and H. Wolkowicz", title = "Lower bounds for the spread of a matrix", journal = j-LINEAR-ALGEBRA-APPL, volume = "71", pages = "161--173", year = "1985", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A42", MRnumber = "87a:15027", MRreviewer = "Thomas L. Markham", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Lamoreaux:1985:NDC, author = "M. Lamoreaux and H. Wolkowicz", title = "Numerical decomposition of a convex function", journal = j-J-OPT-THEORY-APPL, volume = "47", number = "1", pages = "51--64", year = "1985", CODEN = "JOTABN", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C25 (26A51)", MRnumber = "87a:90107", MRreviewer = "Jacques A. Ferland", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Merikoski:1985:IEB, author = "J. Merikoski and H. Wolkowicz", title = "Improving eigenvalue bounds using extra bounds", journal = j-LINEAR-ALGEBRA-APPL, volume = "68", pages = "93--113", year = "1985", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A42 (65F15)", MRnumber = "87e:15038", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @TechReport{Schoettle:1985:TAPa, author = "C. Schoettle and H. Wolkowicz", title = "The teaching assignment problem", type = "Research Report", institution = "Emory University", address = "Atlanta, GA, USA", year = "1985", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Wolkowicz:1985:GEB, author = "H. Wolkowicz", title = "Generating eigenvalue bounds using optimization", type = "Research Report", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1985", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @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", ISSN = "0025-5610", MRclass = "90C48", MRnumber = "87i:90321", MRreviewer = "W. W. Breckner", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Grone:1986:NMP, author = "Robert Grone and Charles R. Johnson and E. {Marques de S{\'a}} and Henry Wolkowicz", title = "A note on maximizing the permanent of a positive definite {Hermitian} matrix, given the eigenvalues", journal = j-LIN-AND-MULT-ALGEBRA, volume = "19", number = "4", pages = "389--393", year = "1986", CODEN = "LNMLAZ", DOI = "https://doi.org/10.1080/03081088608817733", ISSN = "0308-1087 (print), 1563-5139 (electronic)", ISSN-L = "0308-1087", MRclass = "15A15", MRnumber = "88b:15006", MRreviewer = "H. Minc", bibdate = "Tue Sep 20 15:10:49 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib", URL = "http://www.tandfonline.com/doi/abs/10.1080/03081088608817733", fjournal = "Linear and Multilinear Algebra", journal-URL = "http://www.tandfonline.com/loi/glma20", } @Article{Smith:1986:NEL, author = "P. W. Smith and H. Wolkowicz", title = "A nonlinear equation for linear programming", journal = j-MATH-PROG, volume = "34", number = "2", pages = "235--238", year = "1986", CODEN = "MHPGA4", ISSN = "0025-5610", MRclass = "90C05", MRnumber = "87j:90082", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @TechReport{Wolkowicz:1986:TAD, author = "H. Wolkowicz and A. Ben-israel", title = "Taking advantage of degeneracy in linear programming", type = "Research Report", number = "CORR 86-23", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1986", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Wolkowicz:1986:VCR, author = "H. Wolkowicz and A. Ben-israel", title = "A volume and constraint reducing algorithm for linear programming", type = "Research Report", number = "CORR 86-29", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1986", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Grone:1987:NM, author = "Robert Grone and Charles R. Johnson and E. {Marques de Sa} and Henry Wolkowicz", title = "Normal matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "87", pages = "213--225", year = "1987", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A57", MRnumber = "88a:15045", MRreviewer = "L. Rodman", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Guelicher:1987:PSE, author = "Herbert Guelicher and Jordi Dou and Mihai Cipu and Marian Deaconescu and Charles R. Johnson and Gail Wolkowicz and Henry Wolkowicz and Rick Luttmann and Noam D. Elkies", title = "Problems and Solutions: Elementary Problems: {E3231}--{E3236}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "9", pages = "876--878", month = nov, year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:51 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; JSTOR database", note = "See also \cite{Cipu:1989:PSS,Dou:1989:PSSa,Elkies:1990:PSS,Guelicher:1989:PSSa,Johnson:1989:PSS,Luttmann:1989:PSS}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Johnson:1987:PSE, author = "Charles R. Johnson and Gail Wolkowicz and Henry Wolkowicz", title = "Problems and Solutions: Elementary Problems: {E3234}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "9", pages = "877--877", month = nov, year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Dec 29 12:13:09 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InCollection{Wolkowicz:1987:SI, author = "H. Wolkowicz and G. P. H. Styan", title = "{Samuelson}'s Inequality", crossref = "Kotz:1987:ESS", volume = "8", pages = "??--??", year = "1987", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Invited paper.", } @TechReport{Hadley:1988:HFE, author = "S. W. Hadley and H. Wolkowicz", title = "The {Hessian} of a function of the eigenvalues", type = "Research Report", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1988", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Hadley:1988:IBQ, author = "S. W. Hadley and F. Rendl and H. Wolkowicz", title = "Improving bounds for the quadratic assignment problem", type = "Research Report", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "1988", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Sutherland:1988:ELS, author = "W. R. S. Sutherland and H. Wolkowicz and Vera Zeidan", title = "An explicit linear solution for the quadratic dynamic programming problem", journal = j-J-OPT-THEORY-APPL, volume = "58", number = "2", pages = "319--330", year = "1988", CODEN = "JOTABN", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "49C20 (49D40 90C39 93C55)", MRnumber = "89e:49023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Beatson:1989:PPP, author = "R. K. Beatson and H. Wolkowicz", title = "Post-Processing Piecewise Cubics for Monotonicity", journal = j-SIAM-J-NUMER-ANAL, volume = "26", number = "2", pages = "480--502", month = apr, year = "1989", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65D07 (41A05 41A25)", MRnumber = "90i:65019", MRreviewer = "Zhen Xiang Xiong", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; JSTOR database", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Johnson:1989:PSS, author = "Charles R. Johnson and Gail Wolkowicz and Henry Wolkowicz and Patrick A. Staley", title = "Problems and Solutions: Solutions of Elementary Problems: {E3234}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "4", pages = "362--363", month = apr, year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:24 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; JSTOR database", note = "See also \cite{Guelicher:1987:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InProceedings{Hadley:1990:BQA, author = "S. W. Hadley and F. Rendl and H. Wolkowicz", title = "Bounds for the quadratic assignment problems using continuous optimization", crossref = "Pulleyblank:1990:IPC", pages = "237--248", year = "1990", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Jeyakumar:1990:ZDG, author = "V. Jeyakumar and H. Wolkowicz", title = "Zero duality gaps in infinite-dimensional programming", journal = j-J-OPT-THEORY-APPL, volume = "67", number = "1", pages = "87--108", year = "1990", CODEN = "JOTABN", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "49N15 (90C48)", MRnumber = "92a:49062", MRreviewer = "R. N. Kaul", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", page = "87-108", } @Article{Stern:1991:ENI, author = "R. J. Stern and H. Wolkowicz", title = "Exponential nonnegativity on the ice-cream cone", journal = j-SIAM-J-MAT-ANA-APPL, volume = "12", number = "1", pages = "160--165", year = "1991", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "15A48", MRnumber = "92j:15013", MRreviewer = "Raphael Loewy", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Stern:1991:IEC, author = "Ronald J. Stern and Henry Wolkowicz", title = "Invariant ellipsoidal cones", journal = j-LINEAR-ALGEBRA-APPL, volume = "150", pages = "81--106", year = "1991", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A48", MRnumber = "92h:15014", MRreviewer = "Raphael Loewy", bibdate = "Wed Jan 22 17:57:24 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Proceedings of the First Conference of the International Linear Algebra Society (Provo, UT, 1989)", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Stern:1991:NGI, author = "Ronald J. Stern and Henry Wolkowicz", title = "A note on generalized invariant cones and the {Kronecker} canonical form", journal = j-LINEAR-ALGEBRA-APPL, volume = "147", pages = "97--100", year = "1991", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A22 (15A18 15A48)", MRnumber = "92e:15018", bibdate = "Wed Jan 22 17:57:24 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Stern:1991:RIC, author = "R. J. Stern and H. Wolkowicz", title = "Results on invariant cones", journal = j-LINEAR-ALGEBRA-APPL, volume = "166", pages = "1--26", year = "1991", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Proceedings from the Haifa Matrix Theory Conference, June 1990.", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @InProceedings{Ben-Israel:1992:RVR, author = "A. Ben-Israel and H. Wolkowicz", title = "A recursive volume reducing algorithm for semi-infinite linear programming", crossref = "Phillips:1992:SMS", pages = "??--??", year = "1992", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Invited paper.", } @Article{Hadley:1992:NLB, author = "S. W. Hadley and F. Rendl and H. Wolkowicz", title = "A new lower bound via projection for the quadratic assignment problem", journal = j-MATH-OP-RES, volume = "17", number = "3", pages = "727--739", year = "1992", CODEN = "MOREDQ", ISSN = "0364-765x (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C27 (90C20)", MRnumber = "93i:90080", MRreviewer = "M. C. Puri", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Hadley:1992:SNQ, author = "S. W. Hadley and F. Rendl and H. Wolkowicz", title = "Symmetrization of Nonsymmetric Quadratic Assignment Problems and the {Hoffman-Wielandt} Inequality", journal = j-LINEAR-ALGEBRA-APPL, volume = "167", pages = "53--64", day = "01", month = apr, year = "1992", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "90C27 (15A42 90B80)", MRnumber = "93d:90050", MRreviewer = "Rainer Burkard", bibdate = "Wed Jan 22 09:07:50 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Sixth Haifa Conference on Matrix Theory (Haifa, 1990)", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Jeyakumar:1992:GSC, author = "V. Jeyakumar and H. Wolkowicz", title = "Generalizations of {Slater}'s constraint qualification for infinite convex programs", journal = j-MATH-PROG, volume = "57", number = "1, Ser. B", pages = "85--101", year = "1992", CODEN = "MHPGA4", ISSN = "0025-5610", MRclass = "90C48 (49N15 90C25)", MRnumber = "93e:90070", MRreviewer = "Doug Ward", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Rendl:1992:APP, author = "F. Rendl and H. Wolkowicz", title = "Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem", journal = j-MATH-PROG, volume = "53", number = "1, Ser. A", institution = pub-WATERLOO, address = pub-WATERLOO:adr, pages = "63--78", year = "1992", CODEN = "MHPGA4", ISSN = "0025-5610", MRclass = "90C35 (90C20 90C30)", MRnumber = "93c:90098", MRreviewer = "M. C. Puri", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Dennis:1993:SLC, author = "John E. {Dennis, Jr.} and H. Wolkowicz", title = "Sizing and Least-Change Secant Methods", journal = j-SIAM-J-NUMER-ANAL, volume = "30", number = "5", pages = "1291--1314", month = oct, year = "1993", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "90C30 (49M37 65K05)", MRnumber = "94g:90107", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Poljak:1993:CRQ, author = "S. Poljak and H. Wolkowicz", title = "Convex relaxations of $ (0, 1) $ quadratic programming", journal = j-MATH-OP-RES, volume = "20", number = "3", pages = "550--561", year = "1995", CODEN = "MOREDQ", ISSN = "0364-765X (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C09 (90C20)", MRnumber = "MR1354768 (97b:90078)", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Originally appeared as DIMACS Technical Report CORR 93-18.", fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Book{Ben-Israel:1994:NP, author = "A. Ben-Israel and Michael Schneider and H. Wolkowicz", title = "Nonlinear Programming", publisher = "????", address = "????", pages = "??", year = "1994", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "In progress.", } @Article{Falkner:1994:CSG, author = "J. Falkner and F. Rendl and H. Wolkowicz", title = "A computational study of graph partitioning", journal = j-MATH-PROG, volume = "66", number = "2 (Ser. A)", pages = "211--239", year = "1994", CODEN = "MHPGA4", ISSN = "0025-5610", MRclass = "90C35 (05C35 65F15 68Q35 90C27)", MRnumber = "95h:90153", MRreviewer = "Yixun Lin", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "ftp://orion.uwaterloo.ca/pub/henry/reports/gpcomput.ps.gz", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Karisch:1994:TRQ, author = "S. E. Karisch and F. Rendl and H. Wolkowicz", title = "Trust regions and the quadratic assignment problem", crossref = "Pardalos:1994:QAR", pages = "199--219", year = "1994", MRclass = "90C20 (90C27)", MRnumber = "95j:90053", MRreviewer = "Igor Litvinchev", bibdate = "Mon Mar 6 22:00:29 MST 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @InProceedings{Pardalos:1994:QAP, author = "P. Pardalos and F. Rendl and H. Wolkowicz", title = "The Quadratic Assignment Problem: {A} Survey and Recent developments", crossref = "Pardalos:1994:QAR", pages = "1--41", year = "1994", MRclass = "90B80 (90C10 90C27)", MRnumber = "95f:90040", MRreviewer = "Horst W. Hamacher", bibdate = "Mon Mar 6 22:00:29 MST 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Book{Pukelsheim:1994:SIH, editor = "F. Pukelsheim and G. P. H. Styan and H. Wolkowicz And I. Zaballa", title = "Special Issue Honoring {Ingram Olkin}", volume = "199", publisher = pub-ELSEVIER-SCIENCE, address = pub-ELSEVIER-SCIENCE:adr, pages = "viii + 445", year = "1994", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Linear Algebra and Its Applications", } @Article{Rendl:1994:PTP, author = "Franz Rendl and Henry Wolkowicz", editor = "Istvan Maros", title = "A projection technique for partitioning the nodes of a graph", journal = j-ANN-OPER-RESEARCH, volume = "58", number = "3", pages = "155--179", month = may, year = "1994", CODEN = "AOREEV", DOI = "https://doi.org/10.1007/BF02032130", ISSN = "0254-5330 (print), 1572-9338 (electronic)", ISSN-L = "0254-5330", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Accepted Aug/94. To appear in the special issue of APMOD93.", URL = "http://link.springer.com/article/10.1007/BF02032130", fjournal = "Annals of Operations Research", journal-URL = "http://link.springer.com/journal/10479", } @TechReport{Rendl:1994:SFT, author = "F. Rendl and H. Wolkowicz", title = "A semidefinite framework for trust region subproblems with applications to large scale minimization", number = "CORR Report 94-32", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Submitted.", } @Article{Stern:1994:TRP, author = "R. Stern and H. Wolkowicz", title = "Trust region problems and nonsymmetric eigenvalue perturbations", journal = j-SIAM-J-MAT-ANA-APPL, volume = "15", number = "3", pages = "755--778", year = "1994", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "15A18 (15A42 49R05)", MRnumber = "95f:15009", MRreviewer = "Gerd M. Krause", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Book{Tuncel:1994:SPT, author = "L. Tun{\c{c}}el and H. Wolkowicz and Q. Zhao", title = "Semidefinite Programming: Theory, Applications, Algorithm", publisher = pub-KLUWER, address = pub-KLUWER:adr, year = "1994", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "In progress.", series = "Global Optimization", } @Article{Wolkowicz:1994:BRB, author = "H. Wolkowicz", title = "Book Review: {{\booktitle{Matrix Differentiation Identities}} (Peter J. Costa and Stanley Rabinowitz)}", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "657--659", month = "????", year = "1994", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1036152", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:55:26 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/36/4; 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, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "December 1994", } @TechReport{Wolkowicz:1994:MIT, author = "H. Wolkowicz", title = "Multiple indefinite trust region problems and semidefinite programming", type = "Research Report", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "In progress.", } @Article{Wolkowicz:1994:MSR, author = "H. Wolkowicz", title = "Measures for symmetric rank-one updates", journal = j-MATH-OP-RES, volume = "19", type = "Research Report", number = "4", institution = pub-WATERLOO, address = pub-WATERLOO:adr, pages = "815--830", year = "1994", CODEN = "MOREDQ", ISSN = "0364-765x (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C30 (65F05 65K05)", MRnumber = "95h:90143", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Wolkowicz:1994:PS, author = "H. Wolkowicz", title = "Problem Solution 93-17", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "657--659", year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @InProceedings{Helmberg:1995:CSP, author = "C. Helmberg and S. Poljak and F. Rendl and H. Wolkowicz", title = "Combining semidefinite and polyhedral relaxations to integer programs", crossref = "Balas:1995:IPC", pages = "124--134", year = "1995", MRclass = "90C10 (90C27)", MRnumber = "1 367 976", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Poljak:1995:CRQ, author = "S. Poljak and H. Wolkowicz", title = "Convex relaxations of $ (0, 1)$-quadratic programming", journal = j-MATH-OP-RES, volume = "20", number = "3", institution = "DIMACS", pages = "550--561", year = "1995", CODEN = "MOREDQ", ISSN = "0364-765x (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C09 (90C20)", MRnumber = "97b:90078", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Poljak:1995:RSR, author = "S. Poljak and F. Rendl and H. Wolkowicz", title = "A recipe for semidefinite relaxation for $ (0, 1)$-quadratic programming", journal = j-J-GLOBAL-OPT, volume = "7", number = "1", institution = pub-WATERLOO, address = pub-WATERLOO:adr, pages = "51--73", year = "1995", CODEN = "JGOPEO", ISSN = "0925-5001 (print), 1573-2916 (electronic)", ISSN-L = "0925-5001", MRclass = "90C09 (90C27)", MRnumber = "96d:90053", MRreviewer = "Paulo Barcia", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering", journal-URL = "http://link.springer.com/journal/10898", } @TechReport{Ramana:1995:SDS, author = "Motakuri Ramana and Levent Tun{\c{c}}el and Henry Wolkowicz", title = "Strong duality for semidefinite programming", type = "Technical report", number = "CORR 95-12", institution = pub-WATERLOO, address = pub-WATERLOO:adr, pages = "31", year = "1995", ISSN = "0384-0115", bibdate = "Wed Nov 05 12:01:07 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Rendl:1995:MME, author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz", title = "Max-min eigenvalue problems, primal-dual interior point algorithms, and trust region subproblems", journal = j-OPTIM-METHODS-SOFTW, volume = "5", pages = "1--16", year = "1995", CODEN = "OMSOE2", ISSN = "1055-6788", ISSN-L = "1026-7670", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Optimization Methods and Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Rendl:1995:PTP, author = "F. Rendl and H. Wolkowicz", editor = "Istvan Maros", title = "A projection technique for partitioning the nodes of a graph", journal = j-ANN-OPER-RESEARCH, volume = "58", number = "3", pages = "155--179", month = may, year = "1995", CODEN = "AOREEV", DOI = "https://doi.org/10.1007/BF02032130", ISSN = "0254-5330 (print), 1572-9338 (electronic)", ISSN-L = "0254-5330", MRclass = "90C35 (05C99)", MRnumber = "96g:90096", MRreviewer = "Xue Liang Li", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Applied mathematical programming and modeling, II (APMOD 93) (Budapest, 1993)", URL = "ftp://orion.uwaterloo.ca/pub/henry/reports/gp.ps.gz; http://link.springer.com/article/10.1007/BF02032130", fjournal = "Annals of Operations Research", journal-URL = "http://link.springer.com/journal/10479", } @Article{Stern:1995:ITR, author = "R. Stern and H. Wolkowicz", title = "Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations", journal = j-SIAM-J-OPT, volume = "5", type = "Research Report", number = "2", institution = pub-WATERLOO, address = pub-WATERLOO:adr, pages = "286--313", year = "1995", CODEN = "SJOPE8", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C20 (65F15 65K05)", MRnumber = "96h:90077", MRreviewer = "Panos M. Pardalos", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Wolkowicz:1995:AIE, author = "Henry Wolkowicz and Qing Zhao", title = "An all-inclusive efficient region of updates for least change secant methods", journal = j-SIAM-J-OPT, volume = "5", number = "1", pages = "172--191", month = feb, year = "1995", CODEN = "SJOPE8", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (65K05)", MRnumber = "MR1315710 (95k:90096)", MRreviewer = "Bernd Luderer", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; MathSciNet database", fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @TechReport{Alfakih:1996:NGS, author = "A. Alfakih and S. Kruk and H. Wolkowicz", title = "A note on geometry of semidefinite relaxations", number = "CORR Report 97", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Helmberg:1996:IPM, author = "Christoph Helmberg and Franz Rendl and Robert J. Vanderbei and Henry Wolkowicz", title = "An interior-point method for semidefinite programming", journal = j-SIAM-J-OPT, volume = "6", number = "2", pages = "342--361", month = may, year = "1996", CODEN = "SJOPE8", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (65K05 90C27)", MRnumber = "MR1387330 (97f:90086)", MRreviewer = "Tam{\'a}s Terlaky", bibdate = "Tue Sep 30 16:05:42 MDT 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; MathSciNet database", URL = "ftp://orion.uwaterloo.ca/pub/henry/reports/sdp.ps.gz", fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Wolkowicz:1996:ESI, author = "Henry Wolkowicz", title = "Explicit Solutions for Interval Semidefinite Linear Programs", journal = j-LINEAR-ALGEBRA-APPL, volume = "236", number = "1--3", pages = "95--104", day = "15", month = mar, year = "1996", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "90C26 (65G10 90C08)", MRnumber = "96m:90058", MRreviewer = "Florian Jarre", bibdate = "Sat May 29 08:35:30 MDT 1999", bibsource = "http://www.elsevier.com/locate/laa; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1996&volume=236&issue=1-3&aid=9400130", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @TechReport{Wolkowicz:1996:SPR, author = "Henry Wolkowicz and Qing Zhao", title = "Semidefinite programming relaxations for the graph partitioning problem", type = "Research Report CORR 96-16", institution = pub-WATERLOO, address = pub-WATERLOO:adr, pages = "17", year = "1996", ISSN = "0384-0115", bibdate = "Wed Nov 05 11:53:47 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "ftp://orion.uwaterloo.ca/pub/henry/reports/graphpart.ps.gz", } @TechReport{Alfakih:1997:IPM, author = "A. Alfakih and A. Khandani and H. Wolkowicz", title = "An interior-point method for approximate distance matrix completions", number = "CORR Report 9", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "SIMAX, submitted.", URL = "ftp://orion.uwaterloo.ca/pub/henry/reports/distmat.ps.gz", } @TechReport{Kruk:1997:GND, author = "S. Kruk and M. Muramatsu and F. Rendl and R. J. Vanderbei and H. Wolkowicz", title = "The {Gauss--Newton} direction in linear and semidefinite programming", number = "in progress", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Kruk:1997:SPS, author = "S. Kruk and H. Wolkowicz", title = "{SQ$^2$P}, Sequential quadratic constrained quadratic programming", type = "Research Report, CORR 97-01", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Accepted (subject to revision) for the Proceedings of Nonlinear Programming Conference in Beijing in honour of Professor M. J. D. Powell.", } @TechReport{Nazareth:1997:QCR, author = "J. L. Nazareth and H. Wolkowicz and M. Zhu", title = "The quasi-{Cauchy} relation and diagonal updating", number = "CORR Report ??", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "In progress.", } @Book{Overton:1997:SP, editor = "M. L. Overton and H. Wolkowicz", title = "Semidefinite Programming", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "i--ii, 97--320", year = "1997", CODEN = "MHPGA4", ISBN = "????", ISBN-13 = "????", ISSN = "0025-5610", LCCN = "????", MRclass = "90-06 (00B30)", MRnumber = "MR1461376 (98a:90010)", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Dedicated to the memory of Svatopluk Poljak, Math. Programming {\bf 77} (1997), no. 2, Ser. B.", } @Article{Ramana:1997:SDS, author = "M. V. Ramana and L. Tun{\c{c}}el and H. Wolkowicz", title = "Strong duality for semidefinite programming", journal = j-SIAM-J-OPT, volume = "7", number = "3", pages = "641--662", year = "1997", CODEN = "SJOPE8", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (49M35 49N15)", MRnumber = "98m:90147", MRreviewer = "J. Borwein", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "ftp://orion.uwaterloo.ca/pub/henry/reports/strongdual.ps.gz", fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Rendl:1997:SFT, author = "F. Rendl and H. Wolkowicz", title = "A semidefinite framework for trust region subproblems with applications to large scale minimization", journal = j-MATH-PROG, volume = "77", number = "2 (Ser. B)", pages = "273--299", year = "1997", CODEN = "MHPGA4", ISSN = "0025-5610", MRclass = "90C20 (90C33)", MRnumber = "98i:90063", MRreviewer = "M. Teboulle", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @TechReport{Zhao:1997:SPR, author = "Q. Zhao and S. Karisch and F. Rendl and H. Wolkowicz", title = "Semidefinite programming relaxations for the quadratic assignment problem", type = "Research Report", number = "CORR 95-27", institution = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1997", ISSN = "0384-0115", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "To appear in J. Comb. Opt.", URL = "ftp://orion.uwaterloo.ca/pub/henry/reports/qapsdp.ps.gz", } @TechReport{Alfakih:1998:EWG, author = "A. Alfakih and H. Wolkowicz", title = "On the embedability of weighted graphs in {Euclidean} spaces", number = "CORR 98-12", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Gruber:1998:PSP, author = "G. Gruber and S. Kruk and F. Rendl and H. Wolkowicz", title = "Presolving for Semidefinite Programs Without Constraint Qualifications", number = "CORR 98-32", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Johnson:1998:IPM, author = "Charles R. Johnson and Brenda Kroschel and Henry Wolkowicz", title = "An interior-point method for approximate positive semidefinite completions", journal = j-COMP-OPTIM-APPL, volume = "9", number = "2", pages = "175--190", year = "1998", CODEN = "CPPPEF", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C25 (90C20)", MRnumber = "99a:90154", MRreviewer = "Michael L. Dowling", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "CORR Report 95-11.", fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @InProceedings{Kruk:1998:SPS, author = "S. Kruk and H. Wolkowicz", title = "{SQ$^2$P}, sequential quadratic constrained quadratic programming", crossref = "Yuan:1998:ANP", pages = "177--204", year = "1998", MRclass = "90C30 (65K05)", MRnumber = "99f:90128", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Book{Pardalos:1998:SIS, editor = "P. Pardalos and H. Wolkowicz", title = "Special Issue on Semidefinite Programming", volume = "2.1", publisher = pub-KLUWER, address = pub-KLUWER:adr, year = "1998", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "J. Combinatorial Optimization", } @Book{Pardalos:1998:SPI, editor = "P. Pardalos and H. Wolkowicz", title = "Semidefinite Programming and Interior-Point Approaches for Combinatorial Optimization Problems", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "1--109", year = "1998", ISSN = "1382-6905 (print), 1573-2886 (electronic)", MRclass = "90-06 (90C26 90C27)", MRnumber = "99a:90012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Papers from the workshop held at the University of Toronto, Toronto, ON, May 15--17, 1996, J. Comb. Optim. {\bf 2} (1998), no. 1", } @Article{Wolkowicz:1998:SSP, author = "H. Wolkowicz", title = "Semidefiniteness of a sum: Problem Solution 19-5.5", journal = "IMAGE, The Bulletin of ILAS", volume = "20", pages = "30--31", month = apr, year = "1998", bibdate = "Wed Aug 31 14:57:12 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "IMAGE, The Bulletin of the International Linear Algebra Society", journal-URL = "http://www.ilasic.org/IMAGE/", } @Article{Zhao:1998:SPR, author = "Q. Zhao and S. E. Karisch and F. Rendl and H. Wolkowicz", title = "Semidefinite programming relaxations for the quadratic assignment problem", journal = j-J-COMB-OPTIM, volume = "2", number = "1", pages = "71--109", year = "1998", CODEN = "JCOPFV", ISSN = "1382-6905 (print), 1573-2886 (electronic)", ISSN-L = "1382-6905", MRclass = "90C27 (90C26)", MRnumber = "99f:90103", MRreviewer = "Yin Zhang", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Semidefinite programming and interior-point approaches for combinatorial optimization problems (Toronto, ON, 1996)", fjournal = "Journal of Combinatorial Optimization", journal-URL = "http://link.springer.com/journal/10878", } @Article{Alfakih:1999:SED, author = "A. Alfakih and A. Khandani and H. Wolkowicz", title = "Solving {Euclidean} distance matrix completion problems via semidefinite programming", journal = j-COMP-OPTIM-APPL, volume = "12", number = "1-3", pages = "13--30", year = "1999", CODEN = "CPPPEF", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C22 (90C25)", MRnumber = "2000e:90042", MRreviewer = "Christian Michelot", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Computational optimization---a tribute to Olvi Mangasarian, Part I", fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @TechReport{Anjos:1999:SSR, author = "M. F. Anjos and H. Wolkowicz", title = "A Strengthened {SDP} Relaxation via a Second Lifting For The Max-Cut Problem", number = "CORR 99-55", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, pages = "28", year = "1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Anstreicher:1999:SDT, author = "K. M. Anstreicher and X. Chen and H. Wolkowicz and Y. Yuan", title = "Strong duality for a trust-region type relaxation of the quadratic assignment problem", journal = j-LINEAR-ALGEBRA-APPL, volume = "301", number = "1-3", pages = "121--136", year = "1999", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "90Cxx", MRnumber = "1 728 045", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Kruk:1999:PP, author = "Serge Kruk and Henry Wolkowicz", title = "Pseudolinear Programming", journal = j-SIAM-REVIEW, volume = "41", number = "4", pages = "795--805", month = dec, year = "1999", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/S0036144598335259", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C08 (90C30)", MRnumber = "2000f:90030", bibdate = "Sat Mar 29 09:56:11 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/41/4; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/33525", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1999", } @Article{Nazareth:1999:QCR, author = "J. L. Nazareth and H. Wolkowicz and M. Zhu", title = "The quasi-{Cauchy} relation and diagonal updating", journal = j-SIAM-J-OPT, volume = "9", number = "4", pages = "1192--1204 (electronic)", year = "1999", CODEN = "SJOPE8", ISSN = "1095-7189", ISSN-L = "1052-6234", MRclass = "90Cxx (65Fxx)", MRnumber = "1 724 783", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Dedicated to John E. Dennis, Jr., on his 60th birthday", fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Wolkowicz:1999:SPR, author = "H. Wolkowicz and Q. Zhao", title = "Semidefinite programming relaxations for the graph partitioning problem", journal = j-DISCRETE-APPL-MATH, volume = "96/97", pages = "461--479", year = "1999", CODEN = "DAMADU", ISSN = "0166-218X (print), 1872-6771 (electronic)", ISSN-L = "0166-218X", MRclass = "90C35 (15A48 90C22)", MRnumber = "1 724 735", MRreviewer = "Franz Rendl", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Selected for the special Editors' Choice, Edition 1999", fjournal = "Discrete Applied Mathematics. Combinatorial Algorithms, Optimization and Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/0166218X", } @Article{Zhu:1999:QCR, author = "M. Zhu and J. L. Nazareth and H. Wolkowicz", title = "The Quasi-{Cauchy} Relation and Diagonal Updating", journal = j-SIAM-J-OPT, volume = "9", number = "4", pages = "1192--1204", month = sep, year = "1999", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623498331793", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (49M30 65F30)", MRnumber = "MR1724783 (2000k:90052)", MRreviewer = "A. M. Galperin", bibdate = "Tue Sep 30 16:21:28 MDT 2003", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/9/4; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; MathSciNet database", note = "Dedicated to John E. Dennis, Jr., on his 60th birthday.", URL = "http://epubs.siam.org/sam-bin/dbq/article/33179", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @TechReport{Falkner:19xx:SRG, author = "J. Falkner and F. Rendl and H. Wolkowicz and Q. Zhao", title = "Semidefinite relaxations for the graph partitioning problem", type = "Research Report", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "19xx", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Karisch:19xx:QLR, author = "S. Karisch and F. Rendl and H. Wolkowicz and Q. Zhao", title = "Quadratic {Lagrangian} relaxation for the quadratic assignment problem", type = "Research Report", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "19xx", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Unpublished{Rendl:19xx:IPM, author = "F. Rendl and B. Vanderbei and H. Wolkowicz", title = "An interior-point methods for max-min eigenvalue problems", year = "19xx", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Submitted to SIOPT, CORR 93-20.", } @Article{Rendl:19xx:MME, author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz", title = "Max-min eigenvalue problems, primal-dual interior point algorithms, and trust region subproblems", journal = j-OPTIM-METHODS-SOFTW, volume = "??", number = "??", pages = "????", year = "19xx", ISSN = "1055-6788", ISSN-L = "1026-7670", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Optimization Methods and Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Unpublished{Rendl:19xx:QNF, author = "F. Rendl and H. Wolkowicz", title = "A quasi-{Newton} framework for the graph partitioning problem", year = "19xx", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "24 pages in manuscript --- in progress.", } @InCollection{Alfakih:2000:MCP, author = "A. Alfakih and H. Wolkowicz", title = "Matrix Completion Problems", crossref = "Wolkowicz:2000:HSP", pages = "533--545", year = "2000", DOI = "https://doi.org/10.1007/978-1-4615-4381-7_18", MRclass = "90C22 (65F30)", MRnumber = "1778240", bibdate = "Fri Jun 21 14:55:30 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, } @TechReport{Alfakih:2000:NSP, author = "A. Alfakih and H. Wolkowicz", title = "A New Semidefinite Programming Model for Large Sparse {Euclidean} Distance Matrix Completion Problems", number = "CORR 2000-37", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "In progress.", } @Article{Anstreicher:2000:LRQ, author = "Kurt M. Anstreicher and Henry Wolkowicz", title = "On {Lagrangian} Relaxation of Quadratic Matrix Constraints", journal = j-SIAM-J-MAT-ANA-APPL, volume = "22", number = "1", pages = "41--55", year = "2000", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479898340299", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "90C20 (90C22 90C46)", MRnumber = "1779715 (2001f:90032)", MRreviewer = "Franz Rendl", bibdate = "Fri Oct 27 07:23:35 MDT 2000", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/1; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/34029", fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @InCollection{Kruk:2000:GNP, author = "S. Kruk and H. Wolkowicz", title = "General Nonlinear Programming", crossref = "Wolkowicz:2000:HSP", pages = "563--575", year = "2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @InCollection{Kruk:2000:SQC, author = "Serge Kruk and Henry Wolkowicz", booktitle = "Handbook of semidefinite programming", title = "Sequential, quadratic constrained, quadratic programming for general nonlinear programming", volume = "27", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "563--575", year = "2000", DOI = "https://doi.org/10.1007/978-1-4615-4381-7_20", MRclass = "90C22 (90C55)", MRnumber = "1778242", bibdate = "Fri Jun 21 14:55:30 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Internat. Ser. Oper. Res. Management Sci.", acknowledgement = ack-nhfb, } @InCollection{Nesterov:2000:SPR, author = "Y. E. Nesterov and H. Wolkowicz and Y. Ye", title = "Semidefinite Programming Relaxations of Nonconvex Quadratic Optimization", crossref = "Wolkowicz:2000:HSP", pages = "361--419", year = "2000", DOI = "https://doi.org/10.1007/978-1-4615-4381-7_13", MRclass = "90C22 (90C26)", MRnumber = "1778235", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", xxpages = "361--420", } @InCollection{Wolkowicz:2000:SLR, author = "H. Wolkowicz", title = "Semidefinite and {Lagrangian} Relaxations for hard combinatorial problems", crossref = "Powell:2000:SMO", pages = "269--309", year = "2000", MRclass = "90C22 (90C27)", MRnumber = "1770276 (2001e:90053)", MRreviewer = "Peter Butkovi{\v{c}}", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @InCollection{Wolkowicz:2000:SPA, author = "H. Wolkowicz", title = "Semidefinite Programming Approaches to the Quadratic Assignment Problem", crossref = "Pardalos:2000:NAP", pages = "143--174", year = "2000", MRclass = "90C27 (90C22)", MRnumber = "1893727", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Alfakih:2001:TTE, author = "A. Alfakih and H. Wolkowicz", title = "Two Theorems On {Euclidean} Distance Matrices and {Gale} Transform", journal = j-LINEAR-ALGEBRA-APPL, volume = "340", number = "1-3", pages = "149--154", year = "2001", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @TechReport{Anjos:2001:NRPa, author = "M. F. Anjos and H. Wolkowicz", title = "A New Rounding Procedure for the Max-Cut Problem {I}: Empirical Results", number = "CORR 2000-in progress", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Anjos:2001:NRPb, author = "M. F. Anjos and H. Wolkowicz", title = "A New Rounding Procedure for the Max-Cut Problem {II}: Theoretical Results", number = "CORR 2000-in progress", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Anjos:2001:SPA, author = "M. F. Anjos and N. Higham and M. Takouda and H. Wolkowicz", title = "A semidefinite programming approach for the closest correlation matrix problem", number = "CORR 2001-in progress", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @InCollection{Anjos:2001:SSP, author = "Miguel F. Anjos and Henry Wolkowicz", booktitle = "Advances in convex analysis and global optimization ({Pythagorion}, 2000)", title = "Strengthened semidefinite programming relaxations for the max-cut problem", volume = "54", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "409--420", year = "2001", DOI = "https://doi.org/10.1007/978-1-4613-0279-7_25", MRclass = "90C22 (90C27 90C57)", MRnumber = "1846167", bibdate = "Fri Jun 21 14:55:30 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Nonconvex Optim. Appl.", acknowledgement = ack-nhfb, } @TechReport{Gonzalez-Lima:2001:SIM, author = "M. Gonzalez-Lima and H. Wei and H. Wolkowicz", title = "A Simple Iterative Method for Linear Programming", number = "CORR 2001-in progress", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Grodzevich:2001:BIM, author = "O. Grodzevich and H. Wei and H. Wolkowicz", title = "Broadband and {IP}: Modelling, Scheduling, and Optimization", number = "CORR 2001-in progress", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Kruk:2001:GND, author = "S. Kruk and M. Muramatsu and F. Rendl and R. J. Vanderbei and H. Wolkowicz", title = "The {Gauss--Newton} direction in linear and semidefinite programming", journal = j-OPTIM-METHODS-SOFTW, volume = "15", number = "1", pages = "1--27", year = "2001", CODEN = "OMSOE2", DOI = "https://doi.org/10.1080/10556780108805808", ISSN = "1055-6788", ISSN-L = "1026-7670", MRclass = "90C22 (90C51)", MRnumber = "1891034 (2003b:90063)", MRreviewer = "Marina Alex Epelman", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Optimization Methods and Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @TechReport{Sotirov:2001:SMS, author = "R. Sotirov and H. Wolkowicz", title = "The Simple Method for the {SDP} Relaxation of the {QAP}", number = "in progress", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @InCollection{Wolkowicz:2001:DSP, author = "H. Wolkowicz", title = "Duality for Semidefinite Programming", crossref = "Floudas:2001:EO", pages = "??--??", year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Wolkowicz:2001:SSP, author = "H. Wolkowicz", title = "Solving Semidefinite Programs using Preconditioned Conjugate Graditents", number = "CORR 2001-49", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Alfakih:2002:EDM, author = "A. Alfakih and H. Wolkowicz", title = "{Euclidean} Distance Matrices and the Molecular Conformation Problem", number = "17", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Alfakih:2002:TTE, author = "Abdo Y. Alfakih and Henry Wolkowicz", title = "Two theorems on {Euclidean} distance matrices and {Gale} transform", journal = j-LINEAR-ALGEBRA-APPL, volume = "340", pages = "149--154", year = "2002", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/S0024-3795(01)00403-7", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "51K05 (15A48 52B35)", MRnumber = "1869424 (2002i:51010)", bibdate = "Wed Aug 25 15:49:36 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Anjos:2002:GSM, author = "Miguel F. Anjos and Henry Wolkowicz", title = "Geometry of semidefinite max-cut relaxations via matrix ranks", journal = j-J-COMB-OPTIM, volume = "6", number = "3", pages = "237--270", year = "2002", CODEN = "JCOPFV", DOI = "https://doi.org/10.1023/A:1014895808844", ISSN = "1382-6905 (print), 1573-2886 (electronic)", ISSN-L = "1382-6905", MRclass = "90C27 (90C22)", MRnumber = "1920210 (2003h:90057)", MRreviewer = "Jos F. Sturm", bibdate = "Wed Aug 25 15:49:38 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "New approaches for hard discrete optimization (Waterloo, ON, 2001). CORR 2001-39", acknowledgement = ack-nhfb, fjournal = "Journal of Combinatorial Optimization", journal-URL = "http://link.springer.com/journal/10878", xxtitle = "Geometry of Semidefinite Max-Cut Relaxations via Ranks", } @Article{Anjos:2002:SPD, author = "M. F. Anjos and H. Wolkowicz", title = "Semidefinite Programming for Discrete Optimization and Matrix Completion Problems", journal = j-DISCRETE-APPL-MATH, volume = "123/124", number = "CORR 2000-38", pages = "507--571", year = "2002", CODEN = "DAMADU", ISSN = "0166-218X (print), 1872-6771 (electronic)", ISSN-L = "0166-218X", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", fjournal = "Discrete Applied Mathematics. Combinatorial Algorithms, Optimization and Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/0166218X", } @Article{Anjos:2002:SSR, author = "Miguel F. Anjos and Henry Wolkowicz", title = "Strengthened semidefinite relaxations via a second lifting for the {Max-Cut} problem", journal = j-DISCRETE-APPL-MATH, volume = "119", number = "1-2", pages = "79--106", year = "2002", CODEN = "DAMADU", DOI = "https://doi.org/10.1016/S0166-218X(01)00266-9", ISSN = "0166-218X (print), 1872-6771 (electronic)", ISSN-L = "0166-218X", MRclass = "90C27 (68Q99 68R10 90C22)", MRnumber = "1892412 (2003c:90084)", MRreviewer = "Konrad Engel", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Foundations of heuristics in combinatorial optimization", acknowledgement = ack-nhfb, fjournal = "Discrete Applied Mathematics. The Journal of Combinatorial Algorithms, Informatics and Computational Sciences", journal-URL = "http://www.sciencedirect.com/science/journal/0166218X", xxtitle = "A Strengthened {SDP} Relaxation via a Second Lifting for the Max-Cut Problem", } @TechReport{Fortin:2002:STR, author = "C. Fortin and H. Wolkowicz", title = "A Survey of the Trust Region Subproblem Within a Semidefinite Programming Framework", number = "CORR 2002-22", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html\#surveytrs", } @Book{Pardalos:2002:NAH, editor = "P. Pardalos and H. Wolkowicz", title = "New Approaches to Hard Discrete Optimization", volume = "6 \#3", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "235--352", year = "2002", ISSN = "1382-6905 (print), 1573-2886 (electronic)", MRclass = "", MRnumber = "", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Papers from the workshop held at the University of Waterloo, ON, May, 2001, J. Comb. Opt.", } @TechReport{Rendl:2002:NSH, author = "F. Rendl and R. Sotirov and H. Wolkowicz", title = "A Note on a Simplified {HKM} Direction for Special Classes of {SDP}", number = "CORR Report 2002-16", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @TechReport{Sotirov:2002:SLT, author = "R. Sotirov and H. Wolkowicz", title = "Solving {Lov{\'a}sz} Theta Function Problems Using an Inexact {Gauss--Newton} method", number = "in progress", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Wolkowicz:2002:NLS, author = "Henry Wolkowicz", title = "A Note on Lack of Strong Duality for Quadratic Problems with Orthogonal Constraints", journal = j-EUR-J-OPER-RES, volume = "143", number = "2", pages = "356--364", year = "2002", CODEN = "EJORDT", DOI = "https://doi.org/10.1016/S0377-2217(02)00295-3", ISSN = "0377-2217 (print), 1872-6860 (electronic)", ISSN-L = "0377-2217", MRclass = "90C20 (90C46)", MRnumber = "1940977 (2003h:90044)", MRreviewer = "Franz Rendl", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Interior point methods (Budapest, 2000)", acknowledgement = ack-nhfb, fjournal = "European Journal of Operational Research", journal-URL = "http://www.sciencedirect.com/science/journal/03772217", } @TechReport{Wolkowicz:2002:SPa, author = "H. Wolkowicz", title = "Semidefinite Programming", number = "4", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @InCollection{Wolkowicz:2002:SPb, author = "H. Wolkowicz", title = "Semidefinite Programming", crossref = "Pardalos:2002:HAO", pages = "40--50", year = "2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Wolkowicz:2002:SPD, author = "Henry Wolkowicz and Miguel F. Anjos", title = "Semidefinite programming for discrete optimization and matrix completion problems", journal = j-DISCRETE-APPL-MATH, volume = "123", number = "1-3", pages = "513--577", year = "2002", CODEN = "DAMADU", DOI = "https://doi.org/10.1016/S0166-218X(01)00352-3", ISSN = "0166-218X (print), 1872-6771 (electronic)", ISSN-L = "0166-218X", MRclass = "90C22 (90C27)", MRnumber = "1922345 (2003f:90054)", MRreviewer = "Ji-Ming Peng", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Workshop on Discrete Optimization, DO'99 (Piscataway, NJ)", acknowledgement = ack-nhfb, fjournal = "Discrete Applied Mathematics. The Journal of Combinatorial Algorithms, Informatics and Computational Sciences", journal-URL = "http://www.sciencedirect.com/science/journal/0166218X", } @Article{Fortin:2003:TRS, author = "C. Fortin and H. Wolkowicz", title = "The Trust Region Subproblem and Semidefinite Programming", journal = j-OPTIM-METHODS-SOFTW, number = "", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2003", CODEN = "OMSOE2", ISSN = "1055-6788", ISSN-L = "1026-7670", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "To appear in the special issue dedicated to Jochem Zowes 60th birthday, Taylor and Francis Publisher", fjournal = "Optimization Methods and Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Kruk:2003:CIS, author = "S. Kruk and H. Wolkowicz", title = "Convergence of an infeasible short-step path-following algorithm based on the {Gauss--Newton} direction", journal = j-J-APPL-MATH, volume = "??", number = "CORR 2000-23", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, pages = "??--??", year = "2003", CODEN = "", ISSN = "1110-757x (print), 1687-0042 (electronic)", ISSN-L = "1110-757X", bibsource = "http://jam.hindawi.com/contents.html; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "To appear.", fjournal = "Journal of Applied Mathematics", journal-URL = "http://www.hindawi.com/journals/jam/", } @Article{Kruk:2003:CSS, author = "Serge Kruk and Henry Wolkowicz", title = "Convergence of a short-step primal-dual algorithm based on the {Gauss--Newton} direction", journal = j-J-APPL-MATH, volume = "2003", number = "10", pages = "517--534", year = "2003", DOI = "https://doi.org/10.1155/S1110757X03301081", ISSN = "1110-757x (print), 1687-0042 (electronic)", ISSN-L = "1110-757X", MRclass = "90C53 (65K05)", MRnumber = "2013788 (2005a:90193)", MRreviewer = "Heinz H. Bauschke", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "https://www.hindawi.com/journals/jam/2003/836784/abs/", acknowledgement = ack-nhfb, fjournal = "Journal of Applied Mathematics", journal-URL = "http://www.hindawi.com/journals/jam/", } @TechReport{Tuncel:2003:SEU, author = "L. Tun{\c{c}}el and H. Wolkowicz", title = "Strengthened Existence and Uniqueness Conditions for Search Directions in Semidefinite Programming", number = "CORR 2003-20", institution = inst-UNIV-WATERLOO, address = inst-UNIV-WATERLOO:adr, year = "2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Fortin:2004:TRS, author = "Charles Fortin and Henry Wolkowicz", title = "The trust region subproblem and semidefinite programming", journal = j-OPTIM-METHODS-SOFTW, volume = "19", number = "1", pages = "41--67", year = "2004", DOI = "https://doi.org/10.1080/10556780410001647186", ISSN = "1055-6788", ISSN-L = "1026-7670", MRclass = "90C22 (90-06)", MRnumber = "2062235 (2005c:90065)", MRreviewer = "Ya Xiang Yuan", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Wolkowicz:2004:SSP, author = "Henry Wolkowicz", title = "Solving semidefinite programs using preconditioned conjugate gradients", journal = j-OPTIM-METHODS-SOFTW, volume = "19", number = "6", pages = "653--672", year = "2004", DOI = "https://doi.org/10.1080/1055678042000193162", ISSN = "1055-6788", ISSN-L = "1026-7670", MRclass = "90C22 (90C52)", MRnumber = "2102220 (2005h:90091)", MRreviewer = "E. Alper Y{\i}ld{\i}r{\i}m", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Al-Homidan:2005:AEC, author = "Suliman Al-Homidan and Henry Wolkowicz", title = "Approximate and exact completion problems for {Euclidean} distance matrices using semidefinite programming", journal = j-LINEAR-ALGEBRA-APPL, volume = "406", number = "??", pages = "109--141", day = "1", month = sep, year = "2005", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2005.03.021", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "90C22", MRnumber = "2156431 (2006m:90115)", MRreviewer = "Anhua Lin", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; http://www.sciencedirect.com/science/journal/00243795", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Tuncel:2005:SEU, author = "Levent Tun{\c{c}}el and Henry Wolkowicz", title = "Strengthened existence and uniqueness conditions for search directions in semidefinite programming", journal = j-LINEAR-ALGEBRA-APPL, volume = "400", number = "1", pages = "31--60", day = "1", month = may, year = "2005", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2004.12.010", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "90C22 (15A39)", MRnumber = "2131915 (2006a:90070)", MRreviewer = "Etienne de Klerk", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; http://www.sciencedirect.com/science/journal/00243795", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @InProceedings{Anjos:2006:NMS, author = "Miguel F. Anjos and Michael Desroches and Anwar Haque and Oleg Grodzevich and Hua Wei and Henry Wolkowicz", booktitle = "{IEEE Global Telecommunications Conference, 2006. GLOBECOM '06}", title = "{NGL02-1}: Multi-Stage Investment Decision under Contingent Demand for Networking Planning", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2006", DOI = "https://doi.org/10.1109/GLOCOM.2006.249", bibdate = "Tue Mar 5 11:55:18 MST 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4150879", acknowledgement = ack-nhfb, journal-URL = "http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=4150629", } @Article{Alfakih:2007:SNS, author = "A. Y. Alfakih and Henry Wolkowicz", title = "Some necessary and some sufficient trace inequalities for {Euclidean} distance matrices", journal = j-LIN-MULT-ALGEBRA, volume = "55", number = "5", pages = "499--506", year = "2007", CODEN = "LNMLAZ", DOI = "https://doi.org/10.1080/03081080701241570", ISSN = "0308-1087 (print), 1563-5139 (electronic)", ISSN-L = "0308-1087", MRclass = "15A45 (15A57)", MRnumber = "2363550 (2009a:15069)", MRreviewer = "K. Veseli{\'c}", bibdate = "Tue Sep 20 15:13:04 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib", URL = "http://www.tandfonline.com/doi/abs/10.1080/03081080701241570", acknowledgement = ack-nhfb, fjournal = "Linear Multilinear Algebra", journal-URL = "http://www.tandfonline.com/loi/glma20", onlinedate = "21 Sep 2007", } @Article{Andersen:2007:FSI, author = "Erling Andersen and Etienne de Klerk and Levent Tun{\c{c}}el and Henry Wolkowicz and Shuzhong Zhang", title = "Foreword: special issue on large-scale nonlinear and semidefinite programming", journal = j-MATH-PROG, volume = "109", number = "2-3, Ser. B", pages = "207--209", year = "2007", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-006-0037-9", ISSN = "0025-5610", MRclass = "90-06 (90C06 90C32)", MRnumber = "2295140", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Bhatia:2007:PIC, author = "Rajendra Bhatia and Robert Guralnick and Steve Kirkland and Henry Wolkowicz", title = "Preface to the 12th {ILAS} {Conference} {Proceedings}, {Regina} 2005", journal = j-LINEAR-ALGEBRA-APPL, volume = "421", number = "1", pages = "1--2", year = "2007", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2006.10.023", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15-06", MRnumber = "2290680", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Held in Regina, SK, June 26--29, 2005", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Potaptchik:2008:LSP, author = "Marina Potaptchik and Levent Tun{\c{c}}el and Henry Wolkowicz", title = "Large scale portfolio optimization with piecewise linear transaction costs", journal = j-OPTIM-METHODS-SOFTW, volume = "23", number = "6", pages = "929--952", year = "2008", DOI = "https://doi.org/10.1080/00207160802263858", ISSN = "1055-6788", ISSN-L = "1026-7670", MRclass = "91B28 (65K10 90C20 90C31 90C51)", MRnumber = "2464694 (2009i:91058)", MRreviewer = "Alexander Engau", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Ding:2009:LDS, author = "Yichuan Ding and Henry Wolkowicz", title = "A low-dimensional semidefinite relaxation for the quadratic assignment problem", journal = j-MATH-OP-RES, volume = "34", number = "4", pages = "1008--1022", year = "2009", CODEN = "MOREDQ", DOI = "https://doi.org/10.1287/moor.1090.0419", ISSN = "0364-765x (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C26 (65K05 65K10 90B80 90C22)", MRnumber = "2573507", MRreviewer = "Wei Hong Yang", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Gonzalez-Lima:2009:SPD, author = "Maria Gonzalez-Lima and Hua Wei and Henry Wolkowicz", title = "A stable primal-dual approach for linear programming under nondegeneracy assumptions", journal = j-COMP-OPTIM-APPL, volume = "44", number = "2", pages = "213--247", year = "2009", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-007-9157-2", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C05 (90C51)", MRnumber = "2556851 (2010i:90056)", MRreviewer = "K. Zimmermann", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @Article{Grodzevich:2009:RUP, author = "Oleg Grodzevich and Henry Wolkowicz", title = "Regularization using a parameterized trust region subproblem", journal = j-MATH-PROG, volume = "116", number = "1-2, Ser. B", pages = "193--220", year = "2009", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-007-0126-4", ISSN = "0025-5610", MRclass = "65J20 (90C90 94A08)", MRnumber = "2421279 (2009e:65086)", MRreviewer = "Akhtar A. Khan", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Ding:2010:SNL, author = "Yichuan Ding and Nathan Krislock and Jianwei Qian and Henry Wolkowicz", title = "Sensor network localization, {Euclidean} distance matrix completions, and graph realization", journal = j-OPTIM-ENG, volume = "11", number = "1", pages = "45--66", year = "2010", DOI = "https://doi.org/10.1007/s11081-008-9072-0", ISSN = "1389-4420 (print), 1573-2924 (electronic)", ISSN-L = "1389-4420", MRclass = "90B10 (90B80 90C22)", MRnumber = "2601732 (2011b:90012)", MRreviewer = "Ning Ruan", bibdate = "Wed Aug 25 15:49:39 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://link.springer.com/article/10.1007/s11081-008-9072-0", acknowledgement = ack-nhfb, fjournal = "Optimization and Engineering. International Multidisciplinary Journal to Promote Optimization Theory \& Applications in Engineering Sciences", journal-URL = "http://link.springer.com/journal/11081", } @Article{Krislock:2010:ESN, author = "Nathan Krislock and Henry Wolkowicz", title = "Explicit Sensor Network Localization using Semidefinite Representations and Facial Reductions", journal = j-SIAM-J-OPT, volume = "20", number = "5", pages = "2679--2708", month = "????", year = "2010", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/090759392", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C35 (90B10 90C22)", MRnumber = "2678410 (2011g:90208)", MRreviewer = "Michael Patriksson", bibdate = "Mon Nov 29 07:14:26 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/20/5; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/siamjopt.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Wei:2010:GMI, author = "Hua Wei and Henry Wolkowicz", title = "Generating and measuring instances of hard semidefinite programs", journal = j-MATH-PROG, volume = "125", number = "1, Ser. A", pages = "31--45", year = "2010", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-008-0256-3", ISSN = "0025-5610", MRclass = "90C22 (90C51)", MRnumber = "2718693 (2011h:90105)", MRreviewer = "Didier Henrion", bibdate = "Fri Jun 21 14:55:30 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InCollection{Wolkowicz:2010:GEB, author = "Henry Wolkowicz", booktitle = "Nonlinear analysis and variational problems", title = "Generating eigenvalue bounds using optimization", volume = "35", publisher = pub-SV, address = pub-SV:adr, pages = "465--490", year = "2010", DOI = "https://doi.org/10.1007/978-1-4419-0158-3_29", MRclass = "15A42 (90C25 90C31 90C32)", MRnumber = "2581881 (2011b:15052)", MRreviewer = "Jorma Kaarlo Merikoski", bibdate = "Wed Aug 25 15:49:40 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Springer Optim. Appl.", acknowledgement = ack-nhfb, } @Article{Alfakih:2011:EDM, author = "Abdo Y. Alfakih and Miguel F. Anjos and Veronica Piccialli and Henry Wolkowicz", title = "{Euclidean} distance matrices, semidefinite programming and sensor network localization", journal = j-PORT-MATH, volume = "68", number = "1", pages = "53--102", year = "2011", DOI = "https://doi.org/10.4171/PM/1881", ISSN = "0032-5155 (print), 1662-2758 (electronic)", ISSN-L = "0032-5155", MRclass = "51K05 (15A83 90B80 90C22)", MRnumber = "2815953 (2012g:51020)", bibdate = "Fri Jun 21 14:55:30 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://www.ems-ph.org/journals/show_abstract.php?issn=0032-5155&vol=68&iss=1&rank=4", acknowledgement = ack-nhfb, fjournal = "Portugaliae Mathematica. A Journal of the Portuguese Mathematical Society", journal-URL = "http://www.ems-ph.org/journals/journal.php?jrn=pm", } @Article{Ding:2011:ESR, author = "Yichuan Ding and Dongdong Ge and Henry Wolkowicz", title = "On equivalence of semidefinite relaxations for quadratic matrix programming", journal = j-MATH-OP-RES, volume = "36", number = "1", pages = "88--104", year = "2011", CODEN = "MOREDQ", DOI = "https://doi.org/10.1287/moor.1100.0473", ISSN = "0364-765x (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C20 (90C22)", MRnumber = "2799394 (2012h:90137)", MRreviewer = "Amir Beck", bibdate = "Fri Jun 21 14:55:30 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Doan:2012:RAS, author = "Xuan Vinh Doan and Serge Kruk and Henry Wolkowicz", title = "A robust algorithm for semidefinite programming", journal = j-OPTIM-METHODS-SOFTW, volume = "27", number = "4-5", pages = "667--693", year = "2012", DOI = "https://doi.org/10.1080/10556788.2011.610456", ISSN = "1055-6788", ISSN-L = "1026-7670", MRclass = "90C22 (90C51)", MRnumber = "2946052", MRreviewer = "Bogdan Dumitrescu", bibdate = "Fri Jun 21 14:55:30 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Optimization Methods and Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @InCollection{Krislock:2012:EDM, author = "Nathan Krislock and Henry Wolkowicz", booktitle = "Handbook on semidefinite, conic and polynomial optimization", title = "{Euclidean} distance matrices and applications", volume = "166", publisher = pub-SV, address = pub-SV:adr, pages = "879--914", year = "2012", DOI = "https://doi.org/10.1007/978-1-4614-0769-0_30", MRclass = "62H11 (15A99 90C22)", MRnumber = "2894673", bibdate = "Fri Jun 21 14:55:30 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Internat. Ser. Oper. Res. Management Sci.", acknowledgement = ack-nhfb, } @Article{Lin:2012:EMI, author = "Minghua Lin and Henry Wolkowicz", title = "An eigenvalue majorization inequality for positive semidefinite block matrices", journal = j-LIN-MULT-ALGEBRA, volume = "60", number = "11--12", pages = "1365--1368", year = "2012", CODEN = "LNMLAZ", DOI = "https://doi.org/10.1080/03081087.2011.651723", ISSN = "0308-1087 (print), 1563-5139 (electronic)", ISSN-L = "0308-1087", MRclass = "15A42", MRnumber = "2989768", MRreviewer = "Xiao-Dong Zhang", bibdate = "Tue Sep 20 15:13:48 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib", URL = "http://www.tandfonline.com/doi/abs/10.1080/03081087.2011.651723", acknowledgement = ack-nhfb, fjournal = "Linear Multilinear Algebra", journal-URL = "http://www.tandfonline.com/loi/glma20", onlinedate = "16 Jan 2012", } @InCollection{MR2894673, author = "Nathan Krislock and Henry Wolkowicz", booktitle = "Handbook on semidefinite, conic and polynomial optimization", title = "{Euclidean} distance matrices and applications", volume = "166", publisher = pub-SV, address = pub-SV:adr, pages = "879--914", year = "2012", DOI = "https://doi.org/10.1007/978-1-4614-0769-0_30", MRclass = "62H11 (15A99 90C22)", MRnumber = "2894673", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Internat. Ser. Oper. Res. Management Sci.", acknowledgement = ack-nhfb, } @Article{Tuncel:2012:SDM, author = "Levent Tun{\c{c}}el and Henry Wolkowicz", title = "Strong duality and minimal representations for cone optimization", journal = j-COMP-OPTIM-APPL, volume = "53", number = "2", pages = "619--648", year = "2012", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-012-9480-0", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C46 (90C22)", MRnumber = "2988175", MRreviewer = "Sorin-Mihai Grad", bibdate = "Fri Jun 21 14:55:30 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Computational optimization and applications", journal-URL = "http://link.springer.com/journal/10589", } @Article{Alipanahi:2013:DPS, author = "Babak Alipanahi and Nathan Krislock and Ali Ghodsi and Henry Wolkowicz and Logan Donaldson and Ming Li", title = "Determining protein structures from {NOESY} distance constraints by semidefinite programming", journal = j-J-COMPUT-BIOL, volume = "20", number = "4", pages = "296--310", year = "2013", CODEN = "JCOBEM", DOI = "https://doi.org/10.1089/cmb.2012.0089", ISSN = "1066-5277 (print), 1557-8666 (electronic)", ISSN-L = "1066-5277", MRclass = "92D20 (90C22)", MRnumber = "3042029", bibdate = "Mon Mar 31 08:46:45 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Biology", journal-URL = "http://online.liebertpub.com/cmb", } @Article{Bauschke:2013:PSI, author = "Heinz H. Bauschke and Michel Th{\'e}ra and Henry Wolkowicz", title = "Preface [Special issue: {Computational and analytical mathematics}]", journal = j-MATH-PROG, volume = "139", number = "1-2, Ser. B", pages = "1--3", year = "2013", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-013-0656-x", ISSN = "0025-5610", MRclass = "90-06 (49-06)", MRnumber = "3070089", bibdate = "Mon Mar 31 08:46:45 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @InCollection{Cheung:2013:PRD, author = "Yuen-Lam Cheung and Simon Schurr and Henry Wolkowicz", booktitle = "Computational and analytical mathematics", title = "Preprocessing and regularization for degenerate semidefinite programs", volume = "50", publisher = pub-SV, address = pub-SV:adr, pages = "251--303", year = "2013", DOI = "https://doi.org/10.1007/978-1-4614-7621-4_12", MRclass = "90C22 (90C46)", MRnumber = "3108430", MRreviewer = "Sorin-Mihai Grad", bibdate = "Sat Aug 08 16:27:47 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Springer Proc. Math. Stat.", acknowledgement = ack-nhfb, } @InCollection{MR3108430, author = "Yuen-Lam Cheung and Simon Schurr and Henry Wolkowicz", booktitle = "Computational and analytical mathematics", title = "Preprocessing and regularization for degenerate semidefinite programs", volume = "50", publisher = pub-SV, address = pub-SV:adr, pages = "251--303", year = "2013", DOI = "https://doi.org/10.1007/978-1-4614-7621-4_12", MRclass = "90C22 (90C46)", MRnumber = "3108430", MRreviewer = "Sorin-Mihai Grad", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Springer Proc. Math. Stat.", acknowledgement = ack-nhfb, } @Article{Burkowski:2014:EUS, author = "Forbes Burkowski and Yuen-Lam Cheung and Henry Wolkowicz", title = "Efficient use of semidefinite programming for selection of rotamers in protein conformations", journal = j-INFORMS-J-COMPUT, volume = "26", number = "4", pages = "748--766", year = "2014", DOI = "https://doi.org/10.1287/ijoc.2014.0596", ISSN = "1091-9856 (print), 1526-5528 (electronic)", ISSN-L = "1091-9856", MRclass = "92D20 (90C22 90C90)", MRnumber = "3265805", bibdate = "Sat Aug 08 16:27:47 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "INFORMS Journal on Computing", journal-URL = "http://pubsonline.informs.org/journal/ijoc", } @Article{Pong:2014:GTR, author = "Ting Kei Pong and Henry Wolkowicz", title = "The generalized trust region subproblem", journal = j-COMP-OPTIM-APPL, volume = "58", number = "2", pages = "273--322", year = "2014", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-013-9635-7", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C20 (90C26 90C55)", MRnumber = "3201963", bibdate = "Sat Aug 08 16:27:47 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @Article{Drusvyatskiy:2015:CSS, author = "Dmitriy Drusvyatskiy and G{\'a}bor Pataki and Henry Wolkowicz", title = "Coordinate Shadows of Semidefinite and {Euclidean} Distance Matrices", journal = j-SIAM-J-OPT, volume = "25", number = "2", pages = "1160--1178", month = "????", year = "2015", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/140968318", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", bibdate = "Sat Aug 8 07:33:46 MDT 2015", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/25/2; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/siamjopt.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "January 2015", } @Article{Drusvyatskiy:2015:EPI, author = "D. Drusvyatskiy and S. A. Vavasis and H. Wolkowicz", title = "Extreme point inequalities and geometry of the rank sparsity ball", journal = j-MATH-PROG, volume = "152", number = "1--2", pages = "521--544", year = "2015", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-014-0795-8", ISSN = "0025-5610", MRclass = "90C25 (47N10 68P30)", MRnumber = "3369491", bibdate = "Sat Aug 08 16:27:47 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Optimization Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Drusvyatskiy:2015:PMQ, author = "Dmitriy Drusvyatskiy and Chi-Kwong Li and Diane Christine Pelejo and Yuen-Lam Voronin and Henry Wolkowicz", title = "Projection methods for quantum channel construction", journal = j-QUANTUM-INF-PROCESS, volume = "14", number = "8", pages = "3075--3096", year = "2015", CODEN = "QIPUAT", DOI = "https://doi.org/10.1007/s11128-015-1024-y", ISSN = "1570-0755 (print), 1573-1332 (electronic)", ISSN-L = "1570-0755", MRclass = "81P45", MRnumber = "3370697", bibdate = "Wed Aug 31 10:28:38 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Quantum Information Processing", journal-URL = "http://link.springer.com/journal/11128", } @Article{Lin:2015:HTM, author = "Minghua Lin and Henry Wolkowicz", title = "{Hiroshima}'s theorem and matrix norm inequalities", journal = j-ACTA-SCI-MATH-SZEGED, volume = "81", number = "1-2", pages = "45--53", year = "2015", DOI = "https://doi.org/10.14232/actasm-013-821-3", ISSN = "0001-6969 (print), 2064-8316 (electronic)", MRclass = "15A60 (47A30)", MRnumber = "3381873", MRreviewer = "Natalia Bebiano", bibdate = "Wed Aug 31 10:28:38 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Acta Universitatis Szegediensis. Acta Scientiarum Mathematicarum", journal-URL = "http://acta.fyx.hu/acta/", } @Article{Pong:2016:EQP, author = "Ting Kei Pong and Hao Sun and Ningchuan Wang and Henry Wolkowicz", title = "Eigenvalue, quadratic programming, and semidefinite programming relaxations for a cut minimization problem", journal = j-COMP-OPTIM-APPL, volume = "63", number = "2", pages = "333--364", year = "2016", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-015-9779-8", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "05C35 (05C70 90C22 90C27 90C59)", MRnumber = "3457444", MRreviewer = "Sandra L. Arlinghaus", bibdate = "Wed Aug 31 10:28:38 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @Article{Drusvyatskiy:2017:NAP, author = "Dmitriy Drusvyatskiy and Guoyin Li and Henry Wolkowicz", title = "A note on alternating projections for ill-posed semidefinite feasibility problems", journal = j-MATH-PROG, volume = "162", number = "1-2, Ser. A", pages = "537--548", year = "2017", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-016-1048-9", ISSN = "0025-5610", MRclass = "90C22 (47J25 65J15)", MRnumber = "3612949", MRreviewer = "Sorin-Mihai Grad", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Drusvyatskiy:2017:NED, author = "D. Drusvyatskiy and N. Krislock and Y.-L. Voronin and H. Wolkowicz", title = "Noisy {Euclidean} Distance Realization: Robust Facial Reduction and the {Pareto} Frontier", journal = j-SIAM-J-OPT, volume = "27", number = "4", pages = "2301--2331", month = "????", year = "2017", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/15M103710X", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", bibdate = "Fri Jan 12 07:04:38 MST 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/27/4; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/siamjopt.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "January 2017", } @Article{Salahi:2017:LNM, author = "Maziar Salahi and Akram Taati and Henry Wolkowicz", title = "Local nonglobal minima for solving large-scale extended trust-region subproblems", journal = j-COMP-OPTIM-APPL, volume = "66", number = "2", pages = "223--244", year = "2017", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-016-9867-4", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C26 (65K05 90C30 90C46)", MRnumber = "3604052", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @Article{Wang:2017:FMR, author = "Fei Wang and Greg Reid and Henry Wolkowicz", title = "Finding maximum rank moment matrices by facial reduction on primal form and {Douglas--Rachford} iteration", journal = j-ACM-COMM-COMP-ALGEBRA, volume = "51", number = "1", pages = "35--37", month = mar, year = "2017", CODEN = "????", DOI = "https://doi.org/10.1145/3096730.3096740", ISSN = "1932-2232 (print), 1932-2240 (electronic)", ISSN-L = "1932-2232", bibdate = "Tue Oct 10 16:29:29 MDT 2017", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/sigsam.bib", abstract = "Recent breakthroughs have been made in the use of semi-definite programming and its application to real polynomial solving. For example, the real radical of a zero dimensional ideal, can be determined by such approaches. Some progress has been made on the determination of the real radical in positive dimension by Ma, Wang and Zhi[5, 4]. Such work involves the determination of maximal rank semidefinite matrices. Existing methods are computationally expensive and have poorer accuracy on larger examples. In previous work we showed that regularity in the form of the Slater constraint qualification (strict feasibility) fails for the moment matrix in the SDP feasibility problem[6]. We used facial reduction to obtain a smaller regularized problem for which strict feasibility holds. However we did not have a theoretical guarantee that our methods, based on facial reduction and Douglas-Rachford iteration ensured the satisfaction of the maximum rank condition. Our work is motivated by the problems above. We discuss how to compute the moment matrix and its kernel using facial reduction techniques where the maximum rank property can be guaranteed by solving the dual problem. The facial reduction algorithms on the primal form is presented. We give examples that exhibit for the first time additional facial reductions beyond the first which are effective in practice with much better accuracy than SeDuMi(CVX).", acknowledgement = ack-nhfb, fjournal = "ACM Communications in Computer Algebra", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", } @Article{Huang:2018:LRM, author = "Shimeng Huang and Henry Wolkowicz", title = "Low-rank matrix completion using nuclear norm minimization and facial reduction", journal = j-J-GLOBAL-OPT, volume = "72", number = "1", pages = "5--26", year = "2018", CODEN = "JGOPEO", DOI = "https://doi.org/10.1007/s10898-017-0590-1", ISSN = "0925-5001 (print), 1573-2916 (electronic)", ISSN-L = "0925-5001", MRclass = "65F22 (52A41 65K10 90C22 90C46)", MRnumber = "3846924", MRreviewer = "Uno H{\"{a}}marik", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering", journal-URL = "http://link.springer.com/journal/10898", } @Article{Oliveira:2018:ASR, author = "Danilo Elias Oliveira and Henry Wolkowicz and Yangyang Xu", title = "{ADMM} for the {SDP} relaxation of the {QAP}", journal = j-MATH-PROGRAM-COMPUT, volume = "10", number = "4", pages = "631--658", year = "2018", DOI = "https://doi.org/10.1007/s12532-018-0148-3", ISSN = "1867-2949 (print), 1867-2957 (electronic)", ISSN-L = "1867-2957", MRclass = "90C22 (90B80 90C06 90C46)", MRnumber = "3863706", MRreviewer = "Petrica C. Pop", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming Computation", journal-URL = "http://link.springer.com/journal/12532", } @InCollection{Sremac:2018:MDP, author = "Stefan Sremac and Hugo J. Woerdeman and Henry Wolkowicz", booktitle = "Operator theory, analysis and the state space approach", title = "Maximum determinant positive definite {Toeplitz} completions", volume = "271", publisher = "Birkh{\"{a}}user\slash Springer", address = "Cham, Switzerland", pages = "421--441", year = "2018", MRclass = "15A83 (15A15 15B05 90C22)", MRnumber = "3889666", MRreviewer = "Jin Zhong", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Oper. Theory Adv. Appl.", acknowledgement = ack-nhfb, } @Article{Sremac:2019:NED, author = "Stefan Sremac and Fei Wang and Henry Wolkowicz and Lucas Pettersson", title = "Noisy {Euclidean} distance matrix completion with a single missing node", journal = j-J-GLOBAL-OPT, volume = "75", number = "4", pages = "973--1002", year = "2019", CODEN = "JGOPEO", DOI = "https://doi.org/10.1007/s10898-019-00825-7", ISSN = "0925-5001 (print), 1573-2916 (electronic)", ISSN-L = "0925-5001", MRclass = "90C22 (15A83 90C20)", MRnumber = "4031889", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering", journal-URL = "http://link.springer.com/journal/10898", } @Article{Fampa:2020:PCQ, author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz", title = "Parametric convex quadratic relaxation of the quadratic knapsack problem", journal = j-EUR-J-OPER-RES, volume = "281", number = "1", pages = "36--49", year = "2020", CODEN = "EJORDT", DOI = "https://doi.org/10.1016/j.ejor.2019.08.027", ISSN = "0377-2217 (print), 1872-6860 (electronic)", ISSN-L = "0377-2217", MRclass = "90C20 (90C10)", MRnumber = "4018044", MRreviewer = "Michele Monaci", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "European Journal of Operational Research", journal-URL = "http://www.sciencedirect.com/science/journal/03772217", } @Article{Ma:2020:RPC, author = "Shiqian Ma and Fei Wang and Linchuan Wei and Henry Wolkowicz", title = "Robust principal component analysis using facial reduction", journal = j-OPTIM-ENG, volume = "21", number = "3", pages = "1195--1219", year = "2020", DOI = "https://doi.org/10.1007/s11081-019-09476-9", ISSN = "1389-4420 (print), 1573-2924 (electronic)", ISSN-L = "1389-4420", MRclass = "90C26 (65K10 90C27)", MRnumber = "4125726", MRreviewer = "Wenxing Zhu", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Optimization and Engineering. International Multidisciplinary Journal to Promote Optimization Theory \& Applications in Engineering Sciences", journal-URL = "http://link.springer.com/journal/11081", } @Article{Im:2021:SBP, author = "Jiyoung Im and Henry Wolkowicz", title = "A strengthened {Barvinok--Pataki} bound on {SDP} rank", journal = "Oper. Res. Lett.", volume = "49", number = "6", pages = "837--841", year = "2021", DOI = "https://doi.org/10.1016/j.orl.2021.09.004", ISSN = "0167-6377 (print), 1872-7468 (electronic)", MRclass = "90C57 (52B12 90C22)", MRnumber = "4320399", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Operations Research Letters", } @Article{Li:2021:SCP, author = "Xinxin Li and Ting Kei Pong and Hao Sun and Henry Wolkowicz", title = "A strictly contractive {Peaceman--Rachford} splitting method for the doubly nonnegative relaxation of the minimum cut problem", journal = j-COMP-OPTIM-APPL, volume = "78", number = "3", pages = "853--891", year = "2021", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-020-00261-4", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C22 (05C70 90C25 90C27 90C59)", MRnumber = "4221619", MRreviewer = "Minh N. Dao", bibdate = "Tue Mar 15 12:15:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @Article{Sremac:2021:EBS, author = "Stefan Sremac and Hugo J. Woerdeman and Henry Wolkowicz", title = "Error Bounds and Singularity Degree in Semidefinite Programming", journal = j-SIAM-J-OPT, volume = "31", number = "1", pages = "812--836", month = "????", year = "2021", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/19M1289327", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", bibdate = "Wed Jan 19 07:53:28 MST 2022", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/31/1; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/siamjopt.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "January 2021", } @Article{Graham:2022:RDP, author = "Naomi Graham and Hao Hu and Jiyoung Im and Xinxin Li and Henry Wolkowicz", title = "A Restricted Dual {Peaceman--Rachford} Splitting Method for a Strengthened {DNN} Relaxation for {QAP}", journal = j-INFORMS-J-COMPUT, volume = "34", number = "4", pages = "2125--2143", month = jul # "\slash " # aug, year = "2022", CODEN = "????", DOI = "https://doi.org/10.1287/ijoc.2022.1161", ISSN = "1091-9856 (print), 1526-5528 (electronic)", ISSN-L = "1091-9856", bibdate = "Fri Oct 28 07:43:08 MDT 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/informs-j-comput.bib", URL = "https://pubsonline.informs.org/doi/fpi/10.1287/ijoc.2022.1161", acknowledgement = ack-nhfb, ajournal = "INFORMS J. Comput.", fjournal = "INFORMS Journal on Computing", journal-URL = "https://pubsonline.informs.org/journal/ijoc", onlinedate = "23 March 2022", }

%%% ==================================================================== %%% Student theses:

@MastersThesis{Kumar:1984:BE, author = "Ravinder Kumar", title = "Bounds for Eigenvalues", school = "University of Alberta", address = "Edmonton, AB, Canada", year = "1984", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", } @MastersThesis{Schoettle:1985:TAPb, author = "Christopher Schoettle", title = "The Teaching Assignment Problem", school = "Emory University", address = "Atlanta, GA, USA", year = "1985", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", } @MastersThesis{Stephan:1985:ESQ, author = "Peter Stephan", title = "An Explicit Solution to the Quadratic Dynamic Programming Problem", school = "Emory University", address = "Atlanta, GA, USA", year = "1985", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", } @MastersThesis{Lund:1988:OVR, author = "Joe Lund", title = "Optimal Vehicle Replacement Policy", school = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1988", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", } @PhdThesis{Hadley:1989:COA, author = "Scott W. Hadley", title = "Continuous Optimization Approaches to the Quadratic Assignment Problem", school = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1989", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", } @MastersThesis{Karisch:1992:TRQ, author = "Stefan E. Karisch", title = "Trust Regions and the Quadratic Assignment Problem", school = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1992", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", URL = "http://orion.uwaterloo.ca/~hwolkowi/henry/reports/karischmsthesis.ps.gz", } @MastersThesis{Zhao:1993:MLC, author = "Qing Zhao", title = "Measures for Least Change Secant Methods", school = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", URL = "http://orion.uwaterloo.ca/~hwolkowi/henry/reports/zhaomscthesis.ps.gz", } @MastersThesis{Kruk:1996:SPA, author = "S. Kruk", title = "Semidefinite Programming Applied to Nonlinear Programming", school = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", URL = "http://orion.uwaterloo.ca/~hwolkowi/henry/software/sqqp.d/krukmsthesis.ps.gz", } @PhdThesis{Zhao:1996:SPA, author = "Q. Zhao", title = "Semidefinite Programming for Assignment and Partitioning Problems", school = pub-WATERLOO, address = pub-WATERLOO:adr, year = "1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", URL = "ftp://orion.uwaterloo.ca/pub/henry/software/qap.d/zhaophdthesis.ps.gz", } @MastersThesis{Thomas:19xx:OPP, author = "Steven Thomas", title = "Optimal Project Planning for a Pharmaceutical Company", school = "University of Waterloo", year = "19xx", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", } @MastersThesis{Fortin:2000:STR, author = "C. Fortin", title = "A Survey of the Trust Region Subproblem within a Semidefinite Framework", school = "University of Waterloo", year = "2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", } @PhdThesis{Anjos:2001:NCR, author = "M. F. Anjos", title = "New Convex Relaxations for the Maximum Cut and {VLSI} Layout Problems", school = "University of Waterloo", year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", } @PhdThesis{Kruk:2001:HAA, author = "S. Kruk", title = "High Accuracy Algorithms for the Solutions of Semidefinite Linear Programs", school = "University of Waterloo", year = "2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Advisor: H. Wolkowicz.", }

%%% ==================================================================== %%% Cross-referenced entries must come last:

@Article{Deutsch:1980:PSE, author = "Emeric Deutsch and J. Fickett and Clark Kimberling and Peter Ungar and Jan Mycielski", title = "Problems and Solutions: Elementary Problems: {E2847}--{E2852}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "671--672", month = oct, year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:07 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Deutsch:1982:PSSa,Deutsch:1982:PSSb,Fickett:1982:PSSa,Kimberling:1982:PSSc,Mycielski:1982:PSSa,Mycielski:1983:PSS,Ungar:1982:PSS}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Proceedings{Schaible:1981:CCP, editor = "Siegfried Schaible and William T. Ziemba", booktitle = "Generalized Concavity in Optimization and Economics", title = "Generalized Concavity in Optimization and Economics", organization = "NATO conference", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xiv + 767", year = "1981", ISBN = "0-12-621120-5", ISBN-13 = "978-0-12-621120-7", LCCN = "QA402.5 .G45", 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 = "Papers presented at the proceedings of the NATO Advance Study Institute held at the University of British Columbia, Vancouver, Canada, August 4--15, 1980.", } @Proceedings{Fiacco:1983:MPD, editor = "Anthony V. Fiacco", booktitle = "Mathematical Programming with Data Perturbations {II}", title = "Mathematical Programming with Data Perturbations {II}", publisher = pub-DEKKER, address = pub-DEKKER:adr, pages = "vi + 155", year = "1983", ISBN = "0-8247-1789-9", ISBN-13 = "978-0-8247-1789-6", LCCN = "QA402.5 .M356 1983", bibdate = "Mon Mar 6 22:00:29 MST 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Papers presented to the Second Symposium for Mathematical Programming with Data Perturbations, held at the George Washington University in May 1980", } @Book{Kotz:1987:ESS, editor = "Samuel Kotz and Norman L. Johnson and Campbell B. Read", booktitle = "Encyclopedia of Statistical Sciences", title = "Encyclopedia of Statistical Sciences", volume = "8", publisher = pub-WI, address = pub-WI:adr, pages = "", year = "1987", ISBN = "0-471-05546-8 (vol. 1)", ISBN-13 = "978-0-471-05546-4 (vol. 1)", LCCN = "QA276.14 .E5 1982", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Invited paper.", } @Proceedings{Pulleyblank:1990:IPC, editor = "W. R. Pulleyblank and Ravi Kannan", booktitle = "Integer Programming and Combinatorial Optimization: proceedings of a conference held at the University of Waterloo, May 28--30 1990, by the Mathematical Programming Society", title = "Integer Programming and Combinatorial Optimization: proceedings of a conference held at the University of Waterloo, May 28--30 1990, by the Mathematical Programming Society", publisher = pub-WATERLOO-PRESS, address = pub-WATERLOO-PRESS:adr, pages = "xiii + 535", year = "1990", ISBN = "0-88898-099-X", ISBN-13 = "978-0-88898-099-1", LCCN = "", bibdate = "Wed Nov 05 11:31:34 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Proceedings{Phillips:1992:SMS, editor = "Fred Young Phillips and John James Rousseau and Adi Ben-Israel and others", booktitle = "Systems and Management Science by Extremal Methods: research honoring {Abraham Charnes} at age 70", title = "Systems and Management Science by Extremal Methods: research honoring {Abraham Charnes} at age 70", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xxv + 580", year = "1992", ISBN = "0-7923-9139-X", ISBN-13 = "978-0-7923-9139-5", LCCN = "T57.6.S977 1992", bibdate = "Wed Nov 05 11:12:25 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Papers presented at a conference held in Oct. 1987 at the ICp2s Institute of the University of Texas at Austin.", } @Proceedings{Pardalos:1994:QAR, editor = "Panos M. Pardalos and Henry Wolkowicz", booktitle = "Quadratic assignment and related problems: DIMACS Workshop, May 20--21, 1993", title = "Quadratic assignment and related problems: {DIMACS} Workshop, May 20--21, 1993", volume = "16", publisher = pub-AMS, address = pub-AMS:adr, pages = "xii + 364", year = "1994", ISBN = "0-8218-6607-9", ISBN-13 = "978-0-8218-6607-8", LCCN = "QA402.5 .Q33 1994", MRclass = "90-06 (90C27 90C30 90C35)", MRnumber = "95b:90005", bibdate = "Wed Nov 05 11:32:41 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "DIMACS Series in Discrete Mathematics and Theoretical Computer Science", } @Proceedings{Balas:1995:IPC, editor = "Egon Balas and Jens Clausen", booktitle = "Integer programming and combinatorial optimization: 4th International {ICPO} Conference, Copenhagen, Denmark, May 29--31, 1995: proceedings", title = "Integer programming and combinatorial optimization: 4th International {ICPO} Conference, Copenhagen, Denmark, May 29--31, 1995: proceedings", volume = "920", publisher = pub-SV, address = pub-SV:adr, pages = "x + 461", year = "1995", CODEN = "LNCSD9", ISBN = "3-540-59408-6 (Berlin), 0-387-59408-6 (New York)", ISBN-13 = "978-3-540-59408-6 (Berlin), 978-0-387-59408-8 (New York)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "T57.74 .C6 1995", bibdate = "Fri Apr 12 07:15:03 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = ser-LNCS, keywords = "combinatorial optimization --- congresses; integer programming --- congresses", } @Proceedings{Pardalos:1998:TSI, editor = "P. Pardalos and H. Wolkowicz", booktitle = "Topics in Semidefinite and Interior-Point Methods. Proceedings of the workshop held in Toronto, ON, May 1996", title = "Topics in Semidefinite and Interior-Point Methods. Proceedings of the workshop held in Toronto, {ON}, May 1996", publisher = pub-AMS, address = pub-AMS:adr, pages = "xx + 250", year = "1998", ISBN = "0-8218-0825-7", ISBN-13 = "978-0-8218-0825-2", MRclass = "90-06", MRnumber = "98j:90005", bibsource = "http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "The Fields Institute for Research in Mathematical Sciences, Communications Series", } @Proceedings{Yuan:1998:ANP, editor = "Ya-xiang Yuan.", booktitle = "Advances in nonlinear programming: proceedings of the 96 International Conference on Nonlinear Programming", title = "Advances in nonlinear programming: proceedings of the 96 International Conference on Nonlinear Programming", volume = "14", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xiii + 351", year = "1998", ISBN = "0-7923-5053-7", ISBN-13 = "978-0-7923-5053-8", LCCN = "T57.8 .I58 1996", bibdate = "Tue Dec 09 08:32:49 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Conference was held September 2--5 at the Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, China.", series = "Applied optimization", } @Proceedings{Pardalos:2000:NAP, editor = "Panos M. Pardalos and Leonidas Pitsoulis", booktitle = "Nonlinear Assignment Problems: Algorithms and Applications", title = "Nonlinear Assignment Problems: Algorithms and Applications", volume = "7", publisher = pub-KLUWER, address = pub-KLUWER:adr, year = "2000", ISBN = "0-7923-6646-8", ISBN-13 = "978-0-7923-6646-1", LCCN = "QA402.6 .N66 2000", bibdate = "Tue Dec 09 08:39:21 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "Combinatorial optimization", } @Proceedings{Powell:2000:SMO, editor = "M. J. D. Powell and S. Scholtes", booktitle = "System modelling and optimization: methods, theory and applications: 19. IFIP-TC7 conference on system modelling and optimization, July 12--16, 1999, Cambridge, UK", title = "System modelling and optimization: methods, theory and applications: {19. IFIP--TC7 conference on system modelling and optimization, July 12--16, 1999, Cambridge, UK}", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "viii + 347", year = "2000", ISBN = "0-7923-7881-4", ISBN-13 = "978-0-7923-7881-5", LCCN = "QA402.3 .I4536 1999", bibdate = "Tue Dec 09 08:36:11 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Book{Wolkowicz:2000:HSP, editor = "Henry Wolkowicz and Romesh Saigal and Lieven Vandenberghe", booktitle = "Handbook of Semidefinite Programming: Theory, Algorithms, and Applications", title = "Handbook of Semidefinite Programming: Theory, Algorithms, and Applications", volume = "27", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xxvi + 654", year = "2000", ISBN = "0-7923-7771-0", ISBN-13 = "978-0-7923-7771-9", LCCN = "T57.74 .H355 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "International series in operations research \& management science", } @Book{Floudas:2001:EO, editor = "C. A. Floudas and P. M. Pardalos", booktitle = "Encyclopedia of Optimization", title = "Encyclopedia of Optimization", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "Vol. I: xxviii + 539; Vol. II: viii + 549; Vol. III: viii + 580; Vol. IV: viii + 503; Vol. V: viii + 557; Vol. VI: xxxii + 258", year = "2001", ISBN = "0-7923-6932-7", ISBN-13 = "978-0-7923-6932-5", LCCN = "", MRclass = "00A20 (49-00 65-00 90-00 91-00 93-00)", bibdate = "Tue Dec 09 08:03:29 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", price = "US\$1300", } @Book{Pardalos:2002:HAO, editor = "Panos M. Pardalos and Mauricio G. C. Resende", booktitle = "Handbook of Applied Optimization", title = "Handbook of Applied Optimization", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xviii + 1095", year = "2002", ISBN = "0-19-512594-0", ISBN-13 = "978-0-19-512594-8", LCCN = "", bibdate = "Tue Dec 09 08:41:03 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Proceedings{Pardalos:2003:NAH, editor = "Panos Pardalos and Henry Wolkowicz", booktitle = "Papers from the workshop held at the University of Waterloo, Waterloo, ON, April 26--28, 2001", title = "Novel Approaches to Hard Discrete Optimization", publisher = pub-AMS, address = pub-AMS:adr, pages = "181", year = "2003", ISBN = "0-8218-3248-4", ISBN-13 = "978-0-8218-3248-6", LCCN = "QA402.5 .N689 2003", bibsource = "http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", series = "The Fields Institute for Research in Mathematical Sciences, Communications Series", xxbooktitle = "Proceedings of the workshop held in Waterloo, ON, May 2001", } @Book{Bauschke:2011:FPA, editor = "Heinz H. Bauschke and Regina S. Burachik and Patrick Louis Combettes and Veit Elser and D. Russell Luke and Henry Wolkowicz", booktitle = "Fixed-point algorithms for inverse problems in science and engineering", title = "Fixed-point algorithms for inverse problems in science and engineering", volume = "49", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 402", year = "2011", DOI = "https://doi.org/10.1007/978-1-4419-9569-8", ISBN = "1-4419-9568-4, 1-4419-9569-2 (e-book)", ISBN-13 = "978-1-4419-9568-1, 978-1-4419-9569-8 (e-book)", ISSN = "1931-6828 (print), 1931-6836 (electronic)", ISSN-L = "1931-6828", LCCN = "QA378.5 .F59 2011", bibdate = "Sat Aug 13 15:57:02 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; z3950.loc.gov:7090/Voyager", series = "Springer optimization and its applications", URL = "http://0-dx.doi.org.fama.us.es/10.1007/978-1-4419-9569-8", acknowledgement = ack-nhfb, subject = "Inverse problems (Differential equations); Fixed point theory", } @Book{Bailey:2013:CAM, editor = "David H. Bailey and Heinz H. Bauschke and Peter Borwein and Frank Garvan and Michel Th{\'e}ra and Jon D. Vanderwerff and Henry Wolkowicz", booktitle = "Computational and analytical mathematics: in honor of {Jonathan Borwein}'s 60th Birthday", title = "Computational and analytical mathematics: in honor of {Jonathan Borwein}'s 60th Birthday", volume = "50", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 701", year = "2013", DOI = "https://doi.org/10.1007/978-1-4614-7621-4", ISBN = "1-4614-7620-8, 1-4614-7621-6 (e-book)", ISBN-13 = "978-1-4614-7620-7, 978-1-4614-7621-4 (e-book)", ISSN = "2194-1009", LCCN = "QA241", bibdate = "Thu Aug 11 13:32:34 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/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/numana2010.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", series = "Springer proceedings in mathematics and statistics", URL = "http://public.eblib.com/choice/publicfullrecord.aspx?p=1466708; http://swb.eblib.com/patron/FullRecord.aspx?p=1466708; http://www.myilibrary.com?id=547562", abstract = "The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Dr. Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980--1999. He has served the Canadian Mathematics Community through his presidency (2000--2002) as well as his 15 years of editing the CMS book series. Jonathan Borwein's vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein's honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop entitled Computational and Analytical Mathematics, held in May 2011 in celebration of Jonathan Borwein's 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.", acknowledgement = ack-nhfb, subject = "Number theory; Mathematical analysis; Mathematics; Functional Analysis; Operator Theory; Operations Research, Management Science; Algebra; Intermediate.; Mathematical analysis.; Number theory.", tableofcontents = "Normal Numbers and Pseudorandom Generators / David H. Bailey and Jonathan M. Borwein / 1--18 \\ New Demiclosedness Principles for (Firmly) Nonexpansive Operators / Heinz H. Bauschke / 19--28 \\ Champernowne's Number, Strong Normality, and the X Chromosome / Adrian Belshaw and Peter B. Borwein / 29--44 \\ Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems / Henri Bonnel and Jacqueline Morgan / 45--78 \\ Monotone Operators Without Enlargements / Jonathan M. Borwein and Regina S. Burachik / 79--103 \\ A Br{\o}ndsted--Rockafellar Theorem for Diagonal Subdifferential Operators / Radu Ioan Bo{\c{t}} and Ern{\"o} Robert Csetnek / 105--112 \\ A $q$-Analog of Euler's Reduction Formula for the Double Zeta Function / David M. Bradley and Xia Zhou / 113--126 \\ Fast Computation of Bernoulli, Tangent and Secant Numbers / Richard P. Brent and David Harvey / 127--142 \\ Monotone Operator Methods for Nash Equilibria in Non-potential Games / Luis M. Brice{\"a}no-Arias and Patrick L. Combettes / 143--159 \\ Compactness, Optimality, and Risk / B. Cascales, J. Orihuela and M. Ruiz Gal{\'a}n / 161--218 \\ Logarithmic and Complex Constant Term Identities / Tom Chappell, Alain Lascoux and S. Ole Warnaar / 219--250\\ Preprocessing and Regularization for Degenerate Semidefinite Programs / Yuen-Lam Cheung, Simon Schurr and Henry Wolkowicz / 251--303 \\ The Largest Roots of the Mandelbrot Polynomials / Robert M. Corless and Piers W. Lawrence / 305--324 \\ On the Fractal Distribution of Brain Synapses / Richard Crandall / 325--348 \\ Visible Points in Convex Sets and Best Approximation / Frank Deutsch, Hein Hundal and Ludmil Zikatanov / 349--364 \\ On Derivative Criteria for Metric Regularity / Asen L. Dontchev and H{\'e}l{\`e}ne Frankowska / 365--374 \\ Five Classes of Monotone Linear Relations and Operators / Mclean R. Edwards / 375--400 \\ Upper Semicontinuity of Duality and Preduality Mappings / J. R. Giles / 401--410 \\ Convexity and Variational Analysis / A. D. Ioffe / 411--444 \\ Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems / P. S. Kenderov and J. P. Revalski / 445--453 \\ Legendre Functions Whose Gradients Map Convex Sets to Convex Sets / Alexander Knecht and Jon Vanderwerff / 455--462\\ On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces / W. M. Kozlowski and Brailey Sims / 463--484 \\ Techniques and Open Questions in Computational Convex Analysis / Yves Lucet / 485--500 \\ Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators / Victoria Mart{\'i}n-M{\'a}rquez and Simeon Reich / 501--520 \\ Primal Lower Nice Functions and Their Moreau Envelopes / Marc Mazade and Lionel Thibault / 521--553 \\ Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values / Dominikus Noll / 555--592 \\ Convergence of Linesearch and Trust-Region Methods Using the Kurdyka--{\L}ojasiewicz Inequality / Dominikus Noll and Aude Rondepierre / 593--611 \\ Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals / G{\'a}bor Pataki / 613--634 \\ Towards a New Era in Subdifferential Analysis? / Jean-Paul Penot /635--665 \\ Modular Equations and Lattice Sums / Mathew Rogers and Boonrod Yuttanan / 667--680 \\ An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization / Douglas E. Ward and Stephen E. Wright / 681--701", }

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