%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Iain S. Duff", %%% version = "2.66", %%% date = "29 November 2023", %%% time = "10:55:43 MST", %%% filename = "duff-iain-s.bib", %%% address = "Rutherford Appleton Laboratory %%% Chilton, Oxon %%% UK", %%% telephone = "+44-235-445803", %%% FAX = "+44-235-446626", %%% checksum = "50428 11174 48207 482114", %%% email = "isd at letterbox.rl.ac.uk (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; matrix analysis; numerical %%% analysis", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% Iain S. Duff. The companion LaTeX file %%% duff-iain-s.ltx can be used to typeset %%% this bibliography. %%% %%% The Web sites %%% %%% http://www.numerical.rl.ac.uk/people/isd/pubs.html %%% http://www.cse.clrc.ac.uk/nag/ %%% http://epubs.cclrc.ac.uk/ %%% http://epubs.cclrc.ac.uk/search-printable?st=&q=Duff,%20Iain&mpp=-1&so= %%% %%% may contain additional data. %%% %%% At version 2.66, the year coverage looked %%% like this: %%% %%% 1972 ( 1) 1990 ( 28) 2008 ( 2) %%% 1973 ( 0) 1991 ( 14) 2009 ( 3) %%% 1974 ( 3) 1992 ( 20) 2010 ( 4) %%% 1975 ( 1) 1993 ( 15) 2011 ( 5) %%% 1976 ( 2) 1994 ( 24) 2012 ( 5) %%% 1977 ( 3) 1995 ( 17) 2013 ( 1) %%% 1978 ( 2) 1996 ( 19) 2014 ( 0) %%% 1979 ( 9) 1997 ( 20) 2015 ( 5) %%% 1980 ( 6) 1998 ( 14) 2016 ( 1) %%% 1981 ( 9) 1999 ( 20) 2017 ( 2) %%% 1982 ( 13) 2000 ( 13) 2018 ( 3) %%% 1983 ( 7) 2001 ( 20) 2019 ( 0) %%% 1984 ( 16) 2002 ( 15) 2020 ( 3) %%% 1985 ( 11) 2003 ( 9) 2021 ( 0) %%% 1986 ( 12) 2004 ( 14) 2022 ( 0) %%% 1987 ( 21) 2005 ( 8) 2023 ( 1) %%% 1988 ( 12) 2006 ( 0) %%% 1989 ( 30) 2007 ( 4) %%% 19xx ( 1) %%% %%% Article: 166 %%% Book: 25 %%% InCollection: 12 %%% InProceedings: 70 %%% Misc: 1 %%% PhdThesis: 1 %%% Proceedings: 56 %%% TechReport: 137 %%% %%% Total entries: 468 %%% %%% 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. %%% %%% This bibliography was collected from %%% multiple sources: %%% %%% * the authors' own files; %%% * the TeX User Group bibliography %%% collection on ftp.math.utah.edu in %%% /pub/tex/bib; %%% * the very large Computer Science %%% bibliography collection on ftp.ira.uka.de %%% in /pub/bibliography, to which many people %%% have contributed; %%% * the ACM Computing Archive CD ROM, %%% covering literature of the 1980s; %%% * the IEEE Inspec CD ROMs for 1989--1996; %%% * Internet library catalogs, including %%% University of California MELVYL, Stanford %%% University RLIN, Library of Congress, %%% OCLC; %%% * the Compendex database; %%% * the OCLC Contents1st and Article1st %%% databases; %%% * the AMS MathSciNet database; %%% * the CCLRC ePublication Archive; %%% * Iain S. Duff's personal Web site. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted %%% first by ascending year, and within each %%% year, alphabetically by author or editor, %%% and then, if necessary, by the 3-letter %%% abbreviation at the end of the BibTeX %%% citation tag, using the bibsort -byyear %%% utility. Cross-referenced proceedings %%% entries appear at the end, because of a %%% restriction in the current BibTeX. %%% %%% 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{ "\hyphenation{ No-ailles Tou-louse }" # "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" # "\let \k = \c" }

%%% ==================================================================== %%% Acknowledgement abbreviations:

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

%%% ==================================================================== %%% Places; use these in place of the full names in the institution field.

@String{inst-ANL= "Argonne National Laboratory"} @String{inst-ANL:adr= "9700 South Cass Avenue, Argonne, IL 60439-4801, USA"} @String{inst-CERFACS= "CERFACS"} @String{inst-CERFACS:adr= "Toulouse, France"} @String{inst-FUNDP= "Department of Mathematics, FUNDP"} @String{inst-FUNDP:adr= "Namur, Belgium"} @String{inst-HARWELL= "{AERE Harwell} Laboratory"} @String{inst-HARWELL:adr= "Chilton, Oxon, England"} @String{inst-IRIT= "Institut de Recherche en Informatique de Toulouse (IRIT)"} @String{inst-IRIT:adr= "Toulouse, France"} @String{inst-NOC-HATFIELD-POLYTECHNIC= "Numerical Optimization Center, Hatfield Polytechnic"} @String{inst-NOC-HATFIELD-POLYTECHNIC:adr= "??"} @String{inst-RAL= "Rutherford Appleton Laboratory"} @String{inst-RAL:adr= "Chilton, Oxon, England"}

%%% ==================================================================== %%% Journals; use these in place of the full names in the journal field.

@String{j-ANN-HIST-COMPUT= "Annals of the History of Computing"} @String{j-ANN-OPER-RESEARCH= "Annals of Operations Research"} @String{j-BIT= "BIT"} @String{j-BIT-NUM-MATH= "BIT Numerical Mathematics"} @String{j-CCPE= "Concurrency and Computation: Prac\-tice and Experience"} @String{j-COMP-ARCH-NEWS= "ACM SIGARCH Computer Architecture News"} @String{j-COMP-PHYS-COMM= "Computer Physics Communications"} @String{j-COMP-PHYS-REP= "Computer Physics Rep"} @String{j-COMPUT-METH-APPL-MECH-ENG= "Computer Methods in Applied Mechanics and Engineering"} @String{j-COMPUTING= "Computing"} @String{j-CRAY-CHANNELS= "CRAY Channels"} @String{j-ELECTRON-TRANS-NUMER-ANAL= "Electronic Transactions on Numerical Analysis (ETNA)"} @String{j-EUROPEAN-J-OPER-RESEARCH= "European Journal of Operations Research"} @String{j-IJHPCA= "The International Journal of High Performance Computing Applications"} @String{j-IJSA= "The International Journal of Supercomputer Applications"} @String{j-IJSAHPC= "The International Journal of Supercomputer Applications and High Performance Computing"} @String{j-IMA-J-NUMER-ANAL= "IMA Journal of Numerical Analysis"} @String{j-INT-J-COMPUT-MATH= "International Journal of Computer Mathematics"} @String{j-INT-J-HIGH-SPEED-COMPUTING= "International Journal of High Speed Computing"} @String{j-INT-J-NUMER-METHODS-BIOMED-ENG= "International Journal for Numerical Methods in Biomedical Engineering"} @String{j-INT-J-NUMER-METHODS-ENG= "International Journal for Numerical Methods in Engineering"} @String{j-INT-J-NUM-METH-FLUIDS= "International Journal for Numerical Methods in Fluids"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-J-ENG-MATH= "Journal of Engineering Mathematics"} @String{j-J-INST-MATH-APPL= "Journal of the Institute of Mathematics and its Applications"} @String{j-J-OPT-THEORY-APPL= "Journal of Optimization Theory and Applications"} @String{j-LECT-NOTES-COMP-SCI= "Lecture Notes in Computer Science"} @String{j-LECT-NOTES-MATH= "Lecture Notes in Mathematics"} @String{j-LINEAR-ALGEBRA-APPL= "Linear Algebra and its Applications"} @String{j-MAA-STUD-MATH= "MAA Stud. Math"} @String{j-MATH-COMPUT= "Math. Comp."} @String{j-NUM-LIN-ALG-APPL= "Numerical linear algebra with applications"} @String{j-NUM-MATH= "Num. Math"} @String{j-NUMER-ALGEBRA-CONTROL-OPTIM= "Numerical Algebra, Control and Optimization"} @String{j-PARALLEL-COMPUTING= "Parallel Computing"} @String{j-PROC-IEEE= "Proc IEEE"} @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-SCI-COMP= "SIAM Journal on Scientific Computing"} @String{j-SIAM-J-SCI-STAT-COMP= "SIAM Journal on Scientific and Statistical Computing"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-SIGNUM= "SIGNUM Newsletter"} @String{j-THEOR-CHIM-ACTA= "Theoretica Chimica Acta"} @String{j-TOMS= "Trans. on Mathematical Software"}

%%% ==================================================================== %%% Publishers; use these in place of the full names in the publisher field.

@String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-AH= "Adam Hilger Ltd."} @String{pub-AH:adr= "Bristol, UK"} @String{pub-AP= "Academic Press"} @String{pub-AP:adr= "New York, NY, USA"} @String{pub-AW= "Addison-Wesley Publishing Company"} @String{pub-BIRKHAUSER= "Birkh{\"{a}}user"} @String{pub-BIRKHAUSER:adr= "Cambridge, MA, USA; Berlin, Germany; Basel, Switzerland"} @String{pub-CAMBRIDGE= "Cambridge University Press"} @String{pub-CAMBRIDGE:adr= "Cambridge, UK"} @String{pub-CHAPMAN-HALL= "Chapman and Hall, Ltd."} @String{pub-CHAPMAN-HALL:adr= "London, UK"} @String{pub-CLARENDON= "Clarendon Press"} @String{pub-CLARENDON:adr= "Oxford, UK"} @String{pub-CRC= "CRC Press"} @String{pub-CRC:adr= "2000 N.W. Corporate Blvd., Boca Raton, FL 33431-9868, USA"} @String{pub-DEKKER= "Marcel Dekker"} @String{pub-DEKKER:adr= "New York, NY, USA"} @String{pub-DUNOD= "Dunod"} @String{pub-DUNOD:adr= "Paris, France"} @String{pub-EH= "Ellis Horwood Ltd."} @String{pub-EH:adr= "New York, NY, USA"} @String{pub-ELS= "Elsevier"} @String{pub-ELS:adr= "Amsterdam, The Netherlands"} @String{pub-EYROLLES= "Editions Eyrolles"} @String{pub-FRANCO-ANGELI= "Franco Angeli"} @String{pub-FRANCO-ANGELI:adr= "N. Milan, Italy"} @String{pub-GOWER= "Gower Technical Press"} @String{pub-GOWER:adr= "Brookfield, VT, USA"} @String{pub-HMSO= "Her Majesty's Stationary Office"} @String{pub-HMSO:adr= "London, England"} @String{pub-IEEE= "IEEE"} @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"} @String{pub-LONGMAN= "Longman Scientific and Technical"} @String{pub-LONGMAN:adr= "Harlow, Essex"} @String{pub-MATH-ASSOC-AMER= "Mathematical Association of America"} @String{pub-MATH-ASSOC-AMER:adr= "Washington, DC"} @String{pub-MH= "McGraw-Hill"} @String{pub-MIT= "The MIT Press"} @String{pub-NORTH-HOLLAND= "North-Hol{\-}land"} @String{pub-NORTH-HOLLAND:adr= "Amsterdam, The Netherlands"} @String{pub-ORA= "O'Reilly \& Associates"} @String{pub-OXFORD= "Oxford University Press"} @String{pub-OXFORD:adr= "Walton Street, Oxford OX2 6DP, UK"} @String{pub-PERGAMON= "Pergamon"} @String{pub-PERGAMON:adr= "New York, NY, USA"} @String{pub-PH= "Prentice-Hall"} @String{pub-PH:adr= "Englewood Cliffs, NJ 07632, USA"} @String{pub-PRESSES-POLYTECH-ROMANDES= "Presses Polytechniques Romandes"} @String{pub-RAL= "Rutherford Appleton Laboratory"} @String{pub-RAL:adr= "Chilton, Oxon, England"} @String{pub-SIAM= "SIAM"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SUSSP= "SUSSP Publications"} @String{pub-SUSSP:adr= "Edinburgh, Scotland"} @String{pub-SV= "Springer-Verlag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-TEUBNER= "B. G. Teubner"} @String{pub-TEUBNER:adr= "Stuttgart, Germany"} @String{pub-UT-A= "University of Texas at Austin"} @String{pub-UT-A:adr= "Austin, TX, USA"} @String{pub-WILEY= "J. Wiley and Sons"} @String{pub-WILEY:adr= "New York, NY, USA"}

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

@String{ser-LNCS= "Lecture Notes in Computer Science"} @String{ser-LECT-NOTES-MATH= "Lecture Notes in Mathematics"}

%%% ====================================================================

%%% Bibliography entries:

@PhdThesis{Duff:1972:ASS, author = "Iain Spencer Duff", title = "Analysis of Sparse Systems", type = "{D. Phil.}", school = "Oxford University", address = "Oxford, England", year = "1972", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "https://ora.ox.ac.uk/objects/uuid:fd22f551-9f4d-4e18-bcaf-2d62b8c2703c; https://search.proquest.com/pqdtglobal/docview/302648215", abstract = "The aim of this thesis is to conduct a general investigation in the field of sparse matrices, to investigate and compare various techniques for handling sparse systems suggested in the literature, to develop some new techniques, and to discuss the feasibility of using sparsity techniques in the solution of overdetermined equations and the eigenvalue problem.", acknowledgement = ack-nhfb, advisor = "Leslie Fox and Reginald Prabhakar Tewarson", keywords = "Combinatorics; Computer science (mathematics); direct methods; Gaussian elimination; graph theory; Mathematics; Numerical analysis; sparse matrices", } @Article{Duff:1974:CSO, author = "Iain S. Duff and John K. Reid", title = "A comparison of sparsity orderings for obtaining a pivotal sequence in {Gaussian} elimination", journal = j-J-INST-MATH-APPL, volume = "14", number = "????", pages = "281--291", year = "1974", CODEN = "JMTAA8", ISSN = "0020-2932", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @Article{Duff:1974:NNA, author = "I. S. Duff", title = "On the number of nonzeros added when {Gaussian} elimination is performed on sparse random matrices", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "219--230", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Oxford Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; fill in properties; Gaussian elimination; matrices; matrix algebra; nonzeros added; random graphs; sparse random", treatment = "T Theoretical or Mathematical", } @Article{Duff:1974:PSR, author = "Iain S. Duff", title = "Pivot selection and row ordering in {Givens} reduction on sparse matrices", journal = j-COMPUTING, volume = "13", pages = "239--248", year = "1974", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Computing: Archiv f{\"u}r informatik und numerik", journal-URL = "http://link.springer.com/journal/607", } @Article{Duff:1975:RSM, author = "Iain S. Duff and John K. Reid", title = "On the reduction of sparse matrices to condensed forms by similarity transformations", journal = j-J-INST-MATH-APPL, volume = "15", number = "????", pages = "217--224", year = "1975", CODEN = "JMTAA8", ISSN = "0020-2932", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @Article{Duff:1976:CSM, author = "Iain S. Duff and John K. Reid", title = "A comparison of some methods for the solution of sparse overdetermined systems of linear equations", journal = j-J-INST-MATH-APPL, volume = "17", number = "????", pages = "267--280", year = "1976", CODEN = "JMTAA8", ISSN = "0020-2932", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @Article{Duff:1976:GND, author = "Iain S. Duff and A. M. Erisman and J. K. Reid", title = "On {George}'s Nested Dissection Method", journal = j-SIAM-J-NUMER-ANAL, volume = "13", number = "5", pages = "686--695", month = oct, year = "1976", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0713056", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @TechReport{Duff:1977:MSF, author = "Iain S. Duff", title = "{MA28} --- {A} set of {Fortran} subroutines for sparse unsymmetric linear equations", number = "AERE R8730", institution = pub-HMSO, address = pub-HMSO:adr, year = "1977", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1977:PBT, author = "Iain S. Duff", title = "On permutations to block triangular form", journal = j-J-INST-MATH-APPL, volume = "19", pages = "339--342", year = "1977", CODEN = "JMTAA8", ISSN = "0020-2932", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @Article{Duff:1977:SSM, author = "Iain S. Duff", title = "A Survey of Sparse Matrix Research", journal = j-PROC-IEEE, volume = "65", pages = "500--535", year = "1977", CODEN = "IEEPAD", DOI = "https://doi.org/10.1109/PROC.1977.10514", ISSN = "0018-9219 (print), 1558-2256 (electronic)", ISSN-L = "0018-9219", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the IEEE", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5", } @Article{Duff:1978:APB, author = "Iain S. Duff and J. K. Reid", title = "Algorithm 529: Permutations To Block Triangular Form [{F1}]", journal = j-TOMS, volume = "4", number = "2", pages = "189--192", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355790", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @Article{Duff:1978:ITA, author = "Iain S. Duff and J. K. Reid", title = "An Implementation of {Tarjan}'s Algorithm for the Block Triangularization of a Matrix", journal = j-TOMS, volume = "4", number = "2", pages = "137--147", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355785", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "sparse, graph", } @Article{Duff:1979:DSS, author = "Iain S. Duff and John K. Reid and Neils Munskgaard and Hans B. Neilsen", title = "Direct solution of sets of linear equations whose matrix is sparse, symmetric and indefinite", journal = j-J-INST-MATH-APPL, volume = "23", number = "????", pages = "235--250", year = "1979", CODEN = "JMTAA8", ISSN = "0020-2932", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @InProceedings{Duff:1979:PCC, author = "Iain S. Duff", title = "Practical Comparisons of Codes for the Solution of Sparse Linear Systems", crossref = "Duff:1979:SMP", pages = "107--134", year = "1979", MRclass = "65F05", MRnumber = "82j:65018", bibdate = "Wed Jan 17 09:23:28 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1979:PEC, author = "Iain S. Duff and J. K. Reid", title = "Performance evaluation of codes for sparse matrix problems", crossref = "Fosdick:1979:PEN", pages = "121--135", year = "1979", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1979:SCA, author = "Iain S. Duff", title = "Some current approaches to the solution of large sparse systems of linear equations", crossref = "Absi:1980:NME", pages = "559--573", year = "1979", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1979:SDF, author = "Iain S. Duff and J. K. Reid", title = "Some Design Features of a Sparse Matrix Code", journal = j-TOMS, volume = "5", number = "1", pages = "18--35", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355817", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Duff:1979:SNN, author = "Iain S. Duff", title = "Some notes on numerical library construction", type = "Report", number = "AERE M3057", institution = inst-HARWELL, address = inst-HARWELL:adr, year = "1979", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Bjorck:1980:DMS, author = "{\AA}. Bj{\"o}rck and Iain S. Duff", title = "A Direct Method for the Solution of Sparse Linear Least Squares Problems", journal = j-LINEAR-ALGEBRA-APPL, volume = "34", pages = "43--67", year = "1980", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(80)90158-5", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65D10 (65F05)", MRnumber = "81m:65021", MRreviewer = "Hans-J{\"u}rgen Albrand", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", keywords = "lsq; nla; sparse", } @Book{Duff:1980:MSF, author = "Iain S. Duff", title = "{MA28}, a set of {Fortran} subroutines for sparse unsymmetric linear equations", publisher = "Computer Science and Systems Division, AERE Harwell", address = "Harwell, Berkshire, UK", edition = "1980 revision", pages = "104", month = nov, year = "1980", ISBN = "0-7058-0593-X", ISBN-13 = "978-0-7058-0593-3", LCCN = "QA195 .D84x", bibdate = "Sat Jan 27 13:40:57 MST 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "AERE-R 8730 Report (Atomic Energy Research Establishment (Harwell, Oxfordshire)); AERE-R 8730.", acknowledgement = ack-nhfb, keywords = "Equations, Simultaneous --- Computer programs.; FORTRAN (Computer program language); Sparse matrices --- Computer programs.", } @InProceedings{Duff:1980:RDS, author = "Iain S. Duff", title = "Recent developments in the solution of large sparse linear equations", crossref = "Glowinski:1980:CMA", pages = "407--426", year = "1980", MRclass = "65F05 (65F10)", MRnumber = "81j:65054", bibdate = "Wed Jan 17 09:27:22 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1980:SMT, author = "Iain S. Duff", title = "Sparse matrix techniques", type = "Publicaci{\'o}n", number = "80-03", institution = "Escuela de Computacion. Universidad Central de Venezuela", address = "Caracas, Venezuela", year = "1980", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1981:AOM, author = "Iain S. Duff", title = "On Algorithms for Obtaining a Maximum Transversal", journal = j-TOMS, volume = "7", number = "3", pages = "315--330", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355963", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "unsymmetric permutations, maximum transversal, maximum assignment, block-triangular form, sparse matrices, perm, sparse", } @Article{Duff:1981:APZ, author = "Iain S. Duff", title = "Algorithm 575: Permutations for a Zero-Free Diagonal [{F1}]", journal = j-TOMS, volume = "7", number = "3", pages = "387--390", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355968", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "unsymmetric permutations, maximum transversal, maximum assignment, block triangular form, sparse matrices", } @InProceedings{Duff:1981:DUF, author = "Iain S. Duff", title = "The design and use of a frontal scheme for solving sparse unsymmetric equations", crossref = "Hennart:1982:NAP", pages = "240--247", year = "1981", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1981:FMT, author = "Iain S. Duff", title = "Full matrix techniques in sparse {Gaussian} elimination", crossref = "Watson:1982:NAP", pages = "71--84", year = "1981", DOI = "https://doi.org/10.1007/BFb0093150", MRclass = "65F05", MRnumber = "83f:65038", bibdate = "Wed Jan 17 09:27:24 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1981:MPSa, author = "I. S. Duff", title = "{MA32} --- {A} package for solving sparse unsymmetric systems using the frontal method", type = "Report", number = "AERE R10079", institution = inst-RAL, address = inst-RAL:adr, pages = "????", month = "????", year = "1981", bibdate = "Mon Jan 02 10:23:28 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1981:MPSb, author = "Iain S. Duff", title = "{MA32} --- {A} package for solving sparse unsymmetric systems using the frontal method", number = "AERE R11009", institution = pub-HMSO, address = pub-HMSO:adr, year = "1981", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1981:MSU, author = "Iain S. Duff", title = "{ME28} --- {A} Sparse Unsymmetric Linear Equation Solver for Complex Equations", journal = j-TOMS, volume = "7", number = "4", pages = "505--511", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355978", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "sparse matrix, complex sparse linear equations, numerical software, real and complex arithmetic, drop tolerances, ME28", } @InProceedings{Duff:1981:SF, author = "Iain S. Duff", title = "A sparse future", crossref = "Duff:1981:SMT", pages = "1--29", year = "1981", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1982:ESM, author = "I. S. Duff and J. K. Reid", title = "Experience of Sparse Matrix Codes on the {Cray-1}", journal = j-COMP-PHYS-COMM, volume = "26", number = "3 \& 4", pages = "293--302", month = jun, year = "1982", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(82)90119-9", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Tue Oct 24 19:50:08 2000", bibsource = "Compendex database; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", abstract = "Direct methods based on Gaussian elimination are considered for solving sparse sets of linear equations. Among conventional approaches, band and frontal methods are obviously vectorizable and general sparse methods equally do not vectorize easily since they involve indirect addressing in inner loops. These effects are illustrated with actual times from runs on the Cray at Harwell. To avoid indirect addressing code is being developed that uses a ``multi-frontal'' technique. This moves the reals within storage in such a way that all operations are performed on full matrices although the pivotal strategy is minimum degree. How the in-core and out-of-core versions perform on the CRAY-1 is described.", acknowledgement = ack-nhfb, classification = "722; 723", conference = "Vector and Parallel Process in Comput Sci, Proc of the Int Conf", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "COMPUTER SYSTEMS, DIGITAL; CRAY-1 REACTOR", meetingaddress = "Chester, Engl", meetingdate = "Aug 25--28 1981", meetingdate2 = "08/25--28/81", } @Article{Duff:1982:FMT, author = "Iain S. Duff", title = "Full matrix techniques in sparse {Gaussian} elimination", journal = j-LECT-NOTES-MATH, volume = "912", pages = "71--84", year = "1982", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0093150", ISBN = "3-540-11199-9 (print), 3-540-39009-X (e-book)", ISBN-13 = "978-3-540-11199-3 (print), 978-3-540-39009-1 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "65F05", MRnumber = "654344 (83f:65038)", MRreviewer = "A. Olevski{\u\i}", bibdate = "Fri May 9 19:07:38 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0093150/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0093144", book-URL = "http://www.springerlink.com/content/978-3-540-39009-1", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", } @TechReport{Duff:1982:MSF, author = "Iain S. Duff and J. K. Reid", title = "{MA27} --- {A} set of {Fortran} subroutines for solving sparse symmetric sets of linear equations", number = "AERE R10533", institution = inst-HARWELL, publisher = pub-HMSO, address = pub-HMSO:adr, pages = "44", year = "1982", ISBN = "0-7058-0985-4", ISBN-13 = "978-0-7058-0985-6", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1982:SMS, author = "Iain S. Duff", title = "Sparse matrix software for elliptic pde's", crossref = "Trottenberg:1982:MMP", pages = "410--426", year = "1982", DOI = "https://doi.org/10.1007/BFb0069936", MRclass = "65-04 (65F50 65N20)", MRnumber = "685781 (84c:65007)", MRreviewer = "V. Girault", bibdate = "Wed Jan 17 09:22:12 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0069936/", acknowledgement = ack-nhfb, } @Article{Duff:1982:SMT, author = "Iain S. Duff and Roger G. Grimes and John G. Lewis and W. G. {Poole Jr.}", title = "Sparse matrix test problems", journal = j-SIGNUM, volume = "17", number = "2", pages = "22", year = "1982", CODEN = "SNEWD6", ISSN = "0163-5778 (print), 1558-0237 (electronic)", ISSN-L = "0163-5778", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM SIGNUM Newsletter", journal-URL = "https://dl.acm.org/loi/signum", } @TechReport{Duff:1982:SSLa, author = "Iain S. Duff", title = "The solution of sparse linear equations on vector computers. {Symposium} on {Vector Processors} and {Scientific Computation}", type = "????", number = "????", institution = "Centro Scientifico IBM Roma", address = "Roma, Italy", year = "1982", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1982:SSLb, author = "Iain S. Duff", title = "The Solution of Sparse Linear Equations on the {CRAY-1}", journal = j-CRAY-CHANNELS, volume = "4", number = "3", pages = "4--9", year = "1982", CODEN = "CRCHE8", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "CRAY Channels", } @InProceedings{Duff:1982:SSLc, author = "Iain S. Duff", title = "The Solution of Sparse Linear Equations on the {CRAY-1}", crossref = "CRI:1982:SEC", pages = "17--39", year = "1982", bibdate = "Wed Sep 22 10:48:58 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1982:UPA, author = "Iain S. Duff", title = "The use of {POLISH} at {Harwell}", type = "Report", number = "AERE R10555", institution = "Computer Science and Systems Division, Harwell Laboratory", address = inst-HARWELL:adr, year = "1982", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1983:C, author = "I. S. Duff", title = "Correction", journal = j-IMA-J-NUMER-ANAL, volume = "3", number = "2", pages = "253--253", month = "????", year = "1983", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", bibdate = "Tue Jun 4 09:26:54 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @TechReport{Duff:1983:EMP, author = "Iain S. Duff", title = "Enhancements to the {MA32} package for solving sparse unsymmetric equations", type = "Report", number = "AERE R11009", institution = inst-HARWELL, publisher = pub-HMSO, address = pub-HMSO:adr, year = "1983", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1983:ENW, author = "I. S. Duff and J. K. Reid", title = "Errata: {``A note on the work involved in no-fill sparse matrix factorization''}", journal = j-IMA-J-NUMER-ANAL, volume = "3", number = "2", pages = "253--253", year = "1983", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65F50", MRnumber = "85e:65017b", bibdate = "Sat Dec 23 17:06:35 MST 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @InProceedings{Duff:1983:MAS, author = "Iain S. Duff", title = "A multifrontal approach for solving sparse linear equations", crossref = "Pereyra:1983:NMP", pages = "87--98", year = "1983", DOI = "https://doi.org/10.1007/BFb0112526", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0112526/", acknowledgement = ack-nhfb, } @Article{Duff:1983:MSI, author = "Iain S. Duff and J. K. Reid", title = "The multifrontal solution of indefinite sparse symmetric linear systems", journal = j-TOMS, volume = "9", pages = "302--325", year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356047", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @Article{Duff:1983:NWI, author = "Iain S. Duff and J. K. Reid", title = "A note on the work involved in no-fill sparse matrix factorization", journal = j-IMA-J-NUMER-ANAL, volume = "3", pages = "37--40", year = "1983", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/3.1.37", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", bibdate = "Sat Dec 23 14:54:58 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Duff:1984:BRB, author = "Iain S. Duff", title = "Book Review: {{\booktitle{Computer Solution of Large Sparse Positive Definite Systems}} (Alan George and Joseph W. Liu)}", journal = j-SIAM-REVIEW, volume = "26", number = "2", pages = "289--291", month = "????", year = "1984", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1026055", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:53:46 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/26/2; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.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 = "April 1984", } @InProceedings{Duff:1984:CVF, author = "Iain S. Duff", title = "Comments on the vectorization of a frontal code", crossref = "Engquist:1984:PSM", pages = "343--347", year = "1984", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1984:DFF, author = "Iain S. Duff", title = "Design features of a frontal code for solving sparse unsymmetric linear systems out-of-core", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "270--280", month = jun, year = "1984", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0905019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F05)", MRnumber = "85f:65039", MRreviewer = "O. Pokorn{\'a}", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C6120 (File organisation); C6130 (Data handling techniques)", corpsource = "Computer Sci. and Div., AERE, Harwell, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "codes; CRAY-1; data structures; design features; frontal code; IBM 3033; internal data structures; pivoting strategy; sparse unsymmetric linear systems; user interface", onlinedate = "June 1984", treatment = "P Practical", } @Article{Duff:1984:DMS, author = "Iain S. Duff", title = "Direct methods for solving sparse systems of linear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", pages = "605--619", year = "1984", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0905043", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50", MRnumber = "86k:65031", MRreviewer = "Niels Munksgaard", bibdate = "Wed Jan 17 09:21:23 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra); C7310 (Mathematics computing)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Div. of Comput. Sci. and Syst., AERE Harwell, Didcot, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "auxiliary storage; Gaussian elimination; linear algebra; linear equations; main memory; matrix factorization; NAG; orthogonal decompositions; pivoting; positive definite systems; software; sparse systems", onlinedate = "September 1984", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Duff:1984:MSU, author = "Iain S. Duff and J. K. Reid", title = "The multifrontal solution of unsymmetric sets of linear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "633--641", month = sep, year = "1984", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0905045", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50", MRnumber = "85h:65093", MRreviewer = "Niels Munksgaard", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Div. of Comput. Sci. and Syst., AERE Harwell, Didcot, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "CRAY-1; frontal solution; Gaussian elimination; IBM 3081K; linear algebra; linear equations; multifrontal technique; numerical methods; parallel machine; sparse matrices; unsymmetric equations; vectorization", onlinedate = "September 1984", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "T Theoretical or Mathematical", } @Article{Duff:1984:RDS, author = "Iain S. Duff", title = "Research directions in sparse matrix software", journal = j-MAA-STUD-MATH, volume = "24", number = "????", pages = "83--139", year = "1984", CODEN = "MSTMBI", ISSN = "0081-8208", MRclass = "65F10 (65F50)", MRnumber = "925 212", bibdate = "Wed Jan 17 09:27:29 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "MAA studies in mathematics", } @Article{Duff:1984:SE, author = "Iain S. Duff", title = "Supercomputers in {Europe}", journal = j-PARALLEL-COMPUTING, volume = "1", number = "????", pages = "321--324", year = "1984", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/S0167-8191(84)90277-1", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", } @InProceedings{Duff:1984:SNS, author = "Iain S. Duff", title = "The solution of nearly symmetric sparse linear systems", crossref = "Glowinski:1984:CMA", pages = "57--74", year = "1984", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1984:SSL, author = "Iain S. Duff", title = "The Solution of Sparse Linear Equations on the {CRAY-1}", crossref = "Kowalik:1984:HSC", pages = "293--309", year = "1984", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "NATO ASI series. Series F, Computer and Systems Sciences; Vol. 7", acknowledgement = ack-nhfb, } @InCollection{Duff:1984:SSM, author = "Iain S. Duff", title = "A Survey of Sparse Matrix Software", crossref = "Cowell:1984:SDM", pages = "165--199", year = "1984", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "Prentice-Hall series in Computational Mathematics", acknowledgement = ack-nhfb, } @TechReport{Duff:1984:UAL, author = "Iain S. Duff", title = "The use of advanced large computers in {Europe}", type = "Report", number = "AERE R11432", institution = inst-HARWELL, publisher = pub-HMSO, address = pub-HMSO:adr, year = "1984", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1985:CSIa, author = "Iain S. Duff and C. W. Gear", title = "Computing the structural index", type = "Report", number = "137", institution = "AERE Harwell. Computer Science and Systems Division", address = "Harwell, UK", pages = "13", year = "1985", bibdate = "Sat Nov 18 15:59:56 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @TechReport{Duff:1985:CSIb, author = "Iain S. Duff and C. W. Gear", title = "Computing the structural index", type = "Technical memorandum", number = "50", institution = inst-ANL, address = inst-ANL:adr, pages = "13", year = "1985", bibdate = "Sat Nov 18 15:59:56 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Duff:1985:CSS, author = "Iain S. Duff", title = "Comments on the solution of sparse linear equations", journal = "Bulletin of the Brazilian Applied Mathematics Society", volume = "5", number = "3", pages = "21--37", year = "1985", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InCollection{Duff:1985:DSA, author = "Iain S. Duff", title = "Data structures, algorithms and software for sparse matrices", crossref = "Evans:1985:SA", pages = "1--29", year = "1985", MRclass = "65F50 (68P05)", MRnumber = "86m:65039", bibdate = "Wed Jan 17 09:21:20 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, reviewer = "Zahari Zlatev", } @TechReport{Duff:1985:SRIa, author = "Iain S. Duff and A. M. Erisman and C. W. Gear and J. K. Reid", title = "Some remarks on inverses of sparse matrices", number = "CSS 171", institution = inst-HARWELL, address = inst-HARWELL:adr, year = "1985", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib", acknowledgement = ack-nhfb, author-dates = "Charles William ``Bill'' Gear (1 February 1935--15 March 2022)", } @TechReport{Duff:1985:SRIb, author = "Iain S. Duff and A. M. Erisman and C. William (Charles William) Gear and John Ker Reid", title = "Some remarks on inverses of sparse matrices", type = "Technical memorandum", number = "51", institution = inst-ANL, address = inst-ANL:adr, pages = "11", year = "1985", bibdate = "Sat Nov 18 16:02:29 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib", acknowledgement = ack-nhfb, author-dates = "Charles William ``Bill'' Gear (1 February 1935--15 March 2022)", } @Article{Duff:1985:PIC, author = "I. S. Duff and J. K. Reid", title = "{Proceedings of the 2nd International-Conference on Vector and Parallel Processors in Computational Science, Oxford, 28--31 August 1984} --- Preface", journal = j-COMP-PHYS-COMM, volume = "37", number = "1--3", pages = "R11--R11", month = "????", year = "1985", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Tue Jun 4 09:26:54 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655/", } @Article{Duff:1985:SCE, author = "I. S. Duff", title = "Super-Calculators in {Europe}", journal = "TSI --- Technique et science informatiques", volume = "4", number = "5", pages = "479--480", month = "????", year = "1985", ISSN = "0752-4072 (print), 2116-5920 (electronic)", bibdate = "Tue Jun 4 09:26:54 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1985:USE, author = "Iain S. Duff", title = "The use of supercomputers in {Europe}", journal = j-COMP-PHYS-COMM, volume = "37", number = "1--3", pages = "15--25", year = "1985", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(85)90132-8", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "65W05", MRnumber = "817 053", bibdate = "Wed Jan 17 09:27:32 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @InCollection{Dongarra:1986:AAC, author = "Jack J. Dongarra and Iain S. Duff", editor = "????", booktitle = "Federal Supercomputer Programs and Policies", title = "Advanced architecture computers", publisher = "US Government Printing Office", address = "Washington, DC, USA", pages = "710--799", year = "1986", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Tue Jan 03 09:16:00 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Dongarra:1986:PVC, author = "J. Dongarra and I. Duff", title = "Performance of Vector Computers for Direct and Indirect Addressing in {Fortran}", type = "Harwell Report", institution = inst-HARWELL, address = inst-HARWELL:adr, month = "??", year = "1986", bibdate = "Tue Feb 26 10:10:44 2002", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/OVR.bib; https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1986:CSI, author = "I. S. Duff and C. W. Gear", title = "Computing the structural index", journal = j-SIAM-J-ALG-DISC-METH, volume = "7", number = "4", pages = "594--603", year = "1986", CODEN = "SJAMDU", DOI = "https://doi.org/10.1137/0607066", ISSN = "0196-5212 (print), 2168-345X (electronic)", ISSN-L = "0196-5212", MRclass = "65F30 (15A06)", MRnumber = "87k:65052 (857595)", bibdate = "Sat Apr 11 10:02:33 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib; https://www.math.utah.edu/pub/tex/bib/siamjalgdiscmeth.bib", acknowledgement = ack-nhfb, author-dates = "Charles William ``Bill'' Gear (1 February 1935--15 March 2022)", fjournal = "SIAM Journal on Algebraic and Discrete Methods", journal-URL = "http://epubs.siam.org/loi/sjamdu", } @Book{Duff:1986:DMS, author = "I. S. Duff and A. M. Erisman and J. K. Reid", title = "Direct Methods for Sparse Matrices", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xiii + 341", year = "1986", ISBN = "0-19-853408-6 (hardcover), 0-19-853421-3 (paperback)", ISBN-13 = "978-0-19-853408-2 (hardcover), 978-0-19-853421-1 (paperback)", LCCN = "QA188 .D841 1986", bibdate = "Tue Dec 14 22:47:43 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", price = "US\$37.50", acknowledgement = ack-nhfb, shorttableofcontents = "1: Introduction \\ 2: Sparse matrices: storage schemes and simple Operations \\ 3: Gaussian elimination for dense matrices: the algebraic problem \\ 4: Gaussian elimination for dense matrices: numerical considerations \\ 5: Gaussian elimination for sparse matrices: an introduction \\ 6: Reduction to block triangular form \\ 7: Local pivotal strategies for sparse matrices \\ 8: Ordering sparse matrices to special forms \\ 9: Implementing Gaussian elimination: ANALYSE with numerical values \\ 10: Implementing Gaussian elimination with symbolic ANALYSE \\ 11: Partitioning, matrix modification, and tearing \\ 12: Other sparsity-oriented issues \\ Appendix A: Matrix and vector norms / 281 \\ Appendix B: The LINPACK condition number estimate / 285 \\ Appendix C: Fortran Conventions / 287 \\ Appendix D: Pictures of sparse matrices / 289 \\ Solutions to selected exercises / 297 \\ References / 313 \\ Author index / 327 \\ Subject index / 331", tableofcontents = "1: Introduction \\ 1.1 Introduction / 1 \\ 1.2 Graph theory / 2 \\ 1.3 Example / 4 \\ 1.4 Advanced Computer architectures / 9 \\ 1.5 Problem formulation / 11 \\ 1.6 A sparse matrix test collection / 14 \\ 2: Sparse matrices: storage schemes and simple Operations \\ 2.1 Introduction / 19 \\ 2.2 Sparse vector storage / 19 \\ 2.3 Inner product of two packed vectors / 20 \\ 2.4 Adding packed vectors / 21 \\ 2.5 Use of full-sized arrays / 22 \\ 2.6 Coordinate scheme for storing sparse matrices / 23 \\ 2.7 Sparse matrix as a collection of sparse vectors / 24 \\ 2.8 Linked lists / 25 \\ 2.9 Sparse matrix in row-linked list / 28 \\ 2.10 Generating collections of sparse vectors / 30 \\ 2.11 Access by rows and columns / 31 \\ 2.12 Matrix by vector products / 32 \\ 2.13 Matrix by matrix products / 33 \\ 2.14 Permutation matrices / 34 \\ 2.15 Clique (or finite-element) storage / 36 \\ 2.16 Comparisons between sparse matrix structures / 37 \\ 3: Gaussian elimination for dense matrices: the algebraic problem \\ 3.1 Introduction / 41 \\ 3.2 Solution of triangular Systems / 41 \\ 3.3 Gaussian elimination / 43 \\ 3.4 Required row interchanges / 45 \\ 3.5 Relationship with $L U$ factorization / 46 \\ 3.6 Equivalent factorization methods, including Doolittle and Crout / 49 \\ 3.7 Computational sequences / 51 \\ 3.8 Symmetric matrices / 53 \\ 3.9 Gauss--Jordan elimination / 55 \\ 3.10 Multiple right-hand sides and inverses / 56 \\ 3.11 Computational cost / 57 \\ 3.12 Block factorization / 59 \\ 4: Gaussian elimination for dense matrices: numerical considerations \\ 4.1 Introduction / 65 \\ 4.2 Computer arithmetic error / 66 \\ 4.3 Algorithm instability / 67 \\ 4.4 Controlling algorithm stability / 69 \\ 4.5 Monitoring the stability / 72 \\ 4.6 Special stability considerations / 76 \\ 4.7 Solving indefinite symmetric systems / 77 \\ 4.8 Ill-conditioning: introduction / 78 \\ 4.9 Ill-conditioning: theoretical discussion / 79 \\ 4.10 Ill-conditioning: automatic detection / 81 \\ 4.11 Iterative refinement / 85 \\ 4.12 Scaling / 86 \\ 4.13 Prevention of ill-conditioning / 88 \\ 4.14 Overall error bound / 89 \\ 5: Gaussian elimination for sparse matrices: an introduction \\ 5.1 Introduction / 93 \\ 5.2 Features of a sparse matrix code / 94 \\ 5.3 Orderings / 96 \\ 5.4 Numerical stability in sparse computation / 98 \\ 5.5 Estimating condition numbers in sparse computation / 100 \\ 5.6 The ANALYSE phase / 101 \\ 5.7 The FACTORIZE and SOLVE phases / 102 \\ 5.8 Writing compared with using sparse matrix Software / 103 \\ 6: Reduction to block triangular form \\ 6.1 Introduction / 105 \\ 6.2 Background for finding a transversal / 107 \\ 6.3 A depth-first search algorithm for transversal extension / 109 \\ 6.4 Analysis of the depth-first search transversal algorithm / 111 \\ 6.5 Implementation of the transversal algorithm / 112 \\ 6.6 Symmetric permutations to block triangular form / 113 \\ 6.7 The algorithm of Sargent and Westerberg / 114 \\ 6.8 Tarjan's algorithm / 117 \\ 6.9 Implementation of Tarjan's algorithm / 120 \\ 6.10 Essential uniqueness of the block triangular form / 121 \\ 6.11 Experience with block triangular forms / 122 \\ 6.12 Maximum transversals / 124 \\ 7: Local pivotal strategies for sparse matrices \\ 7.1 Introduction / 127 \\ 7.2 The Markowitz criterion / 128 \\ 7.3 Minimum degree (Tinney scheme 2) / 129 \\ 7.4 Simpler strategies / 130 \\ 7.5 Local minimum fill-in / 133 \\ 7.6 Other local strategies / 135 \\ 7.7 The effect of tie-breaking on the minimum degree algorithm / 136 \\ 7.8 Numerical pivoting / 139 \\ 7.9 Sparsity in the right-hand side and partial Solution / 140 \\ 7.10 Variability-type ordering / 143 \\ 7.11 The Symmetric indefinite case / 145 \\ 7.12 Solution methods based on orthogonalization / 145 \\ 8: Ordering sparse matrices to special forms \\ 8.1 Introduction / 149 \\ 8.2 Desirable forms / 149 \\ 8.3 Band and variable-band matrices / 151 \\ 8.4 Ordering for small bandwidth / 153 \\ 8.5 Refined quotient trees / 157 \\ 8.6 One-way dissection / 161 \\ 8.7 Nested dissection / 163 \\ 8.8 The Boeing version of the Hellerman--Rarick algorithm / 168 \\ 8.9 The Hellerman--Rarick ordering / 172 \\ 9: Implementing Gaussian elimination: ANALYSE with numerical values \\ 9.1 Introduction / 177 \\ 9.2 Markowitz ANALYSE / 178 \\ 9.3 FACTORIZE / 183 \\ 9.4 SOLVE / 186 \\ 9.5 Switching to full form / 188 \\ 9.6 Loop-free code / 191 \\ 9.7 Interpretative code / 192 \\ 9.8 A posteriori ordering for stability / 193 \\ 9.9 The use of drop tolerances to preserve sparsity / 195 \\ 10: Implementing Gaussian elimination with symbolic ANALYSE 10.1 Introduction / 199 \\ 10.2 Band methods / 200 \\ 10.3 Variable-band (profile) methods / 204 \\ 10.4 Special methods for banded Systems / 205 \\ 10.5 Frontal methods for finite-element problems / 210 \\ 10.6 Frontal methods for non-element problems / 216 \\ 10.7 Multifrontal (substructuring) methods for finite-element problems / 218 \\ 10.8 Multifrontal methods for non-element problems / 222 \\ 10.9 Minimum degree ordering / 226 \\ 10.10 Generating static data structures for FACTORIZE / 229 \\ 10.11 Numerical FACTORIZE and SOLVE using static data structures / 232 \\ 10.12 Accommodating numerical pivoting within static data structures / 233 \\ 10.13 Nested dissection, refined quotient tree, and one-way dissection / 234 \\ 10.14 Effects of Computer architecture / 234 \\ 11: Partitioning, matrix modification, and tearing \\ 11.1 Introduction / 239 \\ 11.2 Exploiting the partitioned form / 240 \\ 11.3 Using partitioning to handle low-rank perturbations / 242 \\ 11.4 The matrix modification formula / 243 \\ 11.5 Low-rank modifications / 244 \\ 11.6 Use of the modification formula to solve equations / 245 \\ 11.7 Perturbations that are full-rank submatrices / 247 \\ 11.8 The equivalence of modification and partitioning / 249 \\ 11.9 Modifications that change the matrix Order / 250 \\ 11.10 Artificial perturbations / 251 \\ 11.11 Branch tearing / 252 \\ 11.12 Node tearing / 254 \\ 11.13 Implementation of node and branch tearing / 255 \\ 11.14 Manual choice of partitions and tear sets / 255 \\ 11.15 Automatic choice of partitions and tear sets / 257 \\ 11.16 Nonlinear tearing / 259 \\ 11.17 Conclusions / 260 \\ 12: Other sparsity-oriented issues \\ 12.1 Introduction / 265 \\ 12.2 Sparsity in nonlinear computations / 266 \\ 12.3 Estimating a sparse Jacobian matrix / 267 \\ 12.4 Updating a sparse Hessian matrix / 269 \\ 12.5 Approximating a sparse matrix by a positive-definite one / 270 \\ 12.6 The inverse of a sparse matrix / 271 \\ 12.7 Computing entries of the inverse of a sparse matrix / 273 \\ 12.8 Sparsity constrained backward error analysis / 275 \\ 12.9 Assembling large finite-element matrices to band form / 277 \\ 12.10 Hypermatrices / 278 \\ Appendix A: Matrix and vector norms / 281 \\ Appendix B: The LINPACK condition number estimate / 285 \\ Appendix C: Fortran Conventions / 287 \\ Appendix D: Pictures of sparse matrices / 289 \\ Solutions to selected exercises / 297 \\ References / 313 \\ Author index / 327 \\ Subject index / 331", } @TechReport{Duff:1986:EOP, author = "I. Duff and L. Johnsson", title = "The Effect of Orderings on the Parallelization of Sparse Code", type = "Technical Memorandum", number = "????", institution = "Mathematics and Computer Science Division, Argonne National Laboratory", address = "Argonne, IL, USA", year = "1986", bibdate = "Wed Sep 22 10:55:42 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1986:IVP, author = "I. Duff", title = "The Influence of Vector and Parallel Processors on Numerical Analysis", number = "AERE-R 12329", institution = "Computer Science and Systems Division, Harwell Laboratory", address = "Chilton, Oxon, England", year = "1986", bibdate = "Wed Sep 22 10:52:21 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1986:PIM, author = "Iain S. Duff", title = "Parallel Implementation of Multifrontal Schemes", journal = j-PARALLEL-COMPUTING, volume = "3", pages = "193--204", year = "1986", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/0167-8191(86)90019-0", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "65W05", MRnumber = "864 042", bibdate = "Wed Jan 17 09:26:50 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", } @InProceedings{Duff:1986:PSS, author = "Iain S. Duff", title = "The Parallel Solution of Sparse Linear Equations", crossref = "Handler:1986:CCA", pages = "18--24", year = "1986", bibdate = "Mon Sep 9 14:58:34 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "Discusses the solution of large sparse systems using Gaussian elimination on both local and shared memory parallel computers. There is a natural parallelism to Gaussian elimination that has been frequently exploited. The author takes advantage of this parallelism in addition to that provided by the sparsity itself. He discusses this latter parallelism in some detail. An approach that exploits the parallelism due to the sparsity and that can automatically benefit also from the parallelism of Gaussian elimination is discussed. This approach, which is applicable to quite general systems, is based on a multifrontal technique. The author looks at the implementation of the multifrontal approach on shared memory machines and discusses its implementation on a hypercube.", acknowledgement = ack-nhfb, affiliation = "Comput. Sci. and Syst. Div., AERE, Harwell, UK", classification = "B0290H (Linear algebra); C4140 (Linear algebra); C5440 (Multiprocessor systems and techniques)", keywords = "Gaussian elimination; Hypercube; Large sparse systems; Multifrontal approach; Shared memory machines; Shared memory parallel computers; Sparse linear equations; Sparsity", thesaurus = "Linear algebra; Linear systems; Parallel algorithms; Parallel machines", } @TechReport{Duff:1986:TSC, author = "Iain S. Duff and Chris R. Kirby", title = "Trends in scientific computer programs following the introduction of advanced large computers", type = "Report", number = "AERE R11948", institution = inst-HARWELL, publisher = pub-HMSO, address = pub-HMSO:adr, year = "1986", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1986:UVPa, author = "I. Duff", title = "Use of Vector and Parallel Computers in the Solution of Large Sparse Linear Equations", type = "Technical report", number = "ANL/MCS-TM-84", institution = inst-ANL, address = inst-ANL:adr, year = "1986", bibdate = "Wed Sep 22 10:53:42 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1986:UVPb, author = "I. Duff", title = "Use of Vector and Parallel Computers in the Solution of Large Sparse Linear Equations", type = "Technical report", number = "AERE-R 12393", institution = "Computer Science and Systems Division, Harwell Laboratory", address = "Chilton, Oxon, England", year = "1986", bibdate = "Wed Sep 22 10:53:42 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Chatelin:1987:SVM, author = "F. Chatelin and J. Dongarra and I. Duff", title = "Special Volume in Memory of {James H. Wilkinson}", journal = j-LINEAR-ALGEBRA-APPL, volume = "88/89", pages = "??--??", year = "1987", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Mon Jan 02 09:49:28 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Dave:1987:SMC, author = "Ameet K. Dave and Iain S. Duff", title = "Sparse Matrix Calculations on the {CRAY-2}", journal = j-PARALLEL-COMPUTING, volume = "5", pages = "55--64", year = "1987", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/0167-8191(87)90006-8", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "898 035", MRnumber = "65F50 (65W05)", bibdate = "Wed Jan 17 09:26:31 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", } @TechReport{Dongarra:1987:AAC, author = "J. Dongarra and I. Duff", title = "Advanced Architecture Computers", type = "Technical Report", number = "ANL-MCS-TM-57 (Revision 1)", institution = inst-ANL, address = inst-ANL:adr, month = oct, year = "1987", bibdate = "Tue Feb 26 10:10:44 2002", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/ovr.bib; https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Dongarra:1987:PSLa, author = "Jack Dongarra and Jeremy Du Croz and Iain Duff and Sven Hammarling", title = "A proposal for a set of level 3 basic linear algebra subprograms", journal = j-SIGNUM, volume = "22", number = "3", pages = "2--14", month = jul, year = "1987", CODEN = "SNEWD6", ISSN = "0163-5778 (print), 1558-0237 (electronic)", ISSN-L = "0163-5778", bibdate = "Tue Apr 12 07:50:15 MDT 2005", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM SIGNUM Newsletter", journal-URL = "https://dl.acm.org/loi/signum", keywords = "algorithms; theory", subject = "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices \\ G.2.m Mathematics of Computing, DISCRETE MATHEMATICS, Miscellaneous", } @InProceedings{Duff:1987:ANT, author = "Iain S. Duff", title = "Algorithms and numerical techniques", crossref = "Kenway:1987:CPP", pages = "379--428", year = "1987", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1987:EAP, author = "Iain S. Duff and Jacques Laminie and Alain Lichnewsky and Fran{\c{c}}ois Thomasset", title = "An experiment with arithmetic precision in linear algebra computations", journal = j-INT-J-NUM-METH-FLUIDS, volume = "7", number = "10", pages = "1077--1092", month = oct, year = "1987", CODEN = "IJNFDW", DOI = "https://doi.org/10.1002/fld.1650071006", ISSN = "0271-2091 (print), 1097-0363 (electronic)", ISSN-L = "0271-2091", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Num. Meth. Fluids", fjournal = "International Journal for Numerical Methods in Fluids", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0363", } @InProceedings{Duff:1987:IPN, author = "Iain S. Duff", title = "The impact of parallelism on numerical methods", crossref = "Jesshope:1987:MAP", pages = "255--263", year = "1987", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1987:IVP, author = "Iain S. Duff", title = "The influence of vector and parallel computers in the solution of large sparse linear equations", crossref = "Iserles:1987:SAN", pages = "359--407", year = "1987", MRclass = "65W05", MRnumber = "88j:65311", bibdate = "Mon Sep 09 14:59:35 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "It is now ten years since the first CRAY-1 was delivered to Los Alamos National Laboratory. Since then, supercomputers with vector processing capability have become widespread and important in the solution of problems in many areas of science and engineering involving large-scale computing. Their influence on numerical analysis has been less dramatic but the paper indicates the extent of that influence. In the last year or so, advanced superminis that exhibit various more general forms of parallelism have been developed and marketed. The paper identifies these and gives some general principles which algorithm designers are using to take advantage of these parallel architectures. It argues that parallel processors are having a much stronger influence on numerical analysis than vector processors and illustrates these claims with examples from several areas of numerical analysis including linear algebra, optimization, and the solution of partial differential equations.", acknowledgement = ack-nhfb, affiliation = "Div. of Comput. Sci. and Syst., Harwell Lab., Didcot, UK", classification = "C4100 (Numerical analysis)", keywords = "Advanced superminis; Linear algebra; Numerical analysis; Optimization; Parallel architectures; Parallel processors; Parallelism; Partial differential equations; Supercomputers; Vector processing; Vector processors", thesaurus = "Numerical analysis; Parallel processing", } @TechReport{Duff:1987:MMP, author = "I. Duff and N. Gould and M. Lescrenier and J. Reid", title = "The Multifrontal Method in a Parallel Environment", number = "{CSS-211}", institution = inst-HARWELL, address = inst-HARWELL:adr, year = "1987", bibdate = "Wed Sep 22 10:34:32 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1987:MSM, author = "Iain S. Duff", title = "Multiprocessing a Sparse Matrix Code on the {Alliant FX/8}", type = "Technical Report", number = "{CSS-210}", institution = inst-HARWELL, address = inst-HARWELL:adr, pages = "????", year = "1987", bibdate = "Sat Dec 31 14:00:40 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Published in \cite{Duff:1989:MSM}.", acknowledgement = ack-nhfb, } @TechReport{Duff:1987:PUH, author = "I. S. Duff and M. Anoli and N. I. M. Gould and J. K. Reid", title = "The Practical Use of the {Hellerman--Ranck} {$ P^4 $} Algorithm and the {$ P^5 $} Algorithm of {Erisman et al.}", type = "Report", number = "CSS213", institution = inst-HARWELL, address = inst-HARWELL:adr, year = "1987", bibdate = "Wed Sep 22 10:32:27 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1987:SE, author = "Iain S. Duff", title = "Supercomputing in {Europe} --- 1987", type = "Report", number = "CSS 206", institution = inst-HARWELL, address = inst-HARWELL:adr, pages = "8", year = "1987", bibdate = "Tue Jan 03 05:46:21 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1987:SSS, author = "Iain S. Duff and Ulrich Nowak", title = "On sparse solvers in a stiff integrator of extrapolation type", journal = j-IMA-J-NUMER-ANAL, volume = "7", number = "4", pages = "391--405", year = "1987", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/7.4.391", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65L05 (65F50 65V05)", MRnumber = "90d:65137", bibdate = "Sat Dec 23 14:54:59 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", reviewer = "W. C. Rheinboldt", } @Article{Duff:1987:ULP, author = "Iain S. Duff and Jorge Nocedal and John K. Reid", title = "The use of linear programming for the solution of sparse sets of nonlinear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "99--108", month = mar, year = "1987", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0908024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H10 (90C30)", MRnumber = "88b:65065", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Div. of Comput. Sci. and Syst., AERE, Harwell, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "l/sub 1/-norm minimisation; l/sub infinity /-norm trust region; Levenberg--Marquardt algorithm; linear programming; linearized residual vector; matrix algebra; nonlinear equations; sparse sets of nonlinear equations; sparsity", treatment = "T Theoretical or Mathematical", } @InProceedings{Duff:1987:UVP, author = "Iain S. Duff", title = "The use of vector and parallel computers in the solution of large sparse linear equations", crossref = "Deuflhard:1987:LSS", pages = "331--348", year = "1987", MRclass = "65W05 (65F50)", MRnumber = "88g:65142", bibdate = "Wed Jan 17 09:27:35 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Golub:1987:D, author = "Gene H. Golub and Iain Duff and Cleve Moler", title = "Dedication", journal = j-LINEAR-ALGEBRA-APPL, volume = "88/89", pages = "1--12", year = "1987", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "01A70", MRnumber = "88e:01060", bibdate = "Thu Jan 23 11:18:08 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Golub:1987:JW, author = "Gene H. Golub and Miki Neumann and James W. Demmel and Paul Saylor and James M. Boyle and Iain Duff and Jack Dongarra", title = "{James Wilkinson} (1919--1986)", journal = j-ANN-HIST-COMPUT, volume = "9", number = "2", pages = "205--210", month = apr # "\slash " # jun, year = "1987", CODEN = "AHCOE5", ISSN = "0164-1239", bibdate = "Sat Jul 14 18:11:40 2001", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "From the introduction: ``A series of lightly edited extracts from messages that were sent over various computer networks during the period October 5, 1986--February 13, 1987''.", acknowledgement = ack-nhfb, fjournal = "Annals of the History of Computing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650", keywords = "obituary", } @TechReport{Arioli:1988:SSL, author = "M. Arioli and J. W. Demmel and I. S. Duff", title = "Solving Sparse Linear Systems with Sparse Backward Error", type = "Technical report", number = "CSS 214", institution = "Computer Science and Systems Division, AERE Harwell", address = "Didcot, UK", year = "1988", bibdate = "Wed Sep 22 10:58:10 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Dayde:1988:ULB, author = "M. J. Dayde and I. S. Duff", title = "Use of Level-3 {BLAS} in {LU} Factorization on the {Cray-2}, the {ETA-10P}, and the {IBM 3090-200/VF}", number = "CSS-229", institution = "Computer Science and Systems Division, Harwell Laboratory", address = "Oxon OX11 ORA, UK", year = "1988", bibdate = "Wed Sep 22 10:58:55 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Dongarra:1988:SLB, author = "J. J. Dongarra and J. Du Croz and I. S. Duff and S. Hammarling", title = "A Set of Level 3 {Basic Linear Algebra Subprograms}", type = "??", number = "ANL-MCS-TM-88", institution = inst-ANL, address = inst-ANL:adr, month = "??", year = "1988", bibdate = "Tue Feb 26 10:10:44 2002", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib; https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1988:CSS, author = "Iain S. Duff", title = "Comments on the solution of sparse linear equations", journal = "NAG Newsletter: Numerical Algorithms Group Limited, Oxford", volume = "2", number = "????", pages = "3--16", year = "1988", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1988:EHS, author = "Iain S. Duff", editor = "K. Winget", booktitle = "CRAY User Group 1988 Spring Proceedings", title = "Experience with the {Harwell Subroutine Library} on the {CRAY-2}", publisher = "Cray User Group, Inc", address = "186 Mandela Road, Shepherdstown, WV 25443, USA", pages = "338--341", year = "1988", LCCN = "QA76.8.C7 C74a", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1988:NAG, author = "Iain S. Duff", title = "{Numerical Analysis Group. Progress Report. January 1986--December 1987}", type = "Report", institution = inst-HARWELL, publisher = pub-HMSO, address = pub-HMSO:adr, year = "1988", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "AERE R13068", acknowledgement = ack-nhfb, } @InProceedings{Duff:1988:PSM, author = "Iain S. Duff", title = "Parallelism in sparse matrices", crossref = "Paul:1988:PSC", pages = "99--106", year = "1988", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1988:RIA, author = "Iain S. Duff and Torbj{\"o}rn Wiberg", title = "Remarks on Implementation of {$ O(n^{1 / 2} \tau) $} Assignment Algorithms", journal = j-TOMS, volume = "14", number = "3", pages = "267--287", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.44131", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65F50)", MRnumber = "062 478", bibdate = "Wed Jan 17 09:25:17 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "The authors examine an implementation and a number of modifications of a 1973 algorithm of Hopcroft and Karp for permuting a sparse matrix so that there are no zeros on the diagonal. They describe their implementation of the original Hopcroft and Karp algorithm and compare this with modifications which they prove to have the same O(n/sup 1/2/ tau ) behavior, where the matrix is of order n with tau entries. They compare the best of these with an efficient implementation of an algorithm whose worst-case behavior is O(n tau ).", acknowledgement = ack-nhfb, affiliation = "Harwell Lab., Didcot, UK", classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory); C7310 (Mathematics)", fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms; Computational complexity; Linear algebra; Mathematics computing; Permutation; Sparse matrix; theory", pubcountry = "USA", review = "ACM CR 8904-0244", subject = "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems \\ G.2.2 Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Graph algorithms \\ G.4 Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis", thesaurus = "Computational complexity; Mathematics computing; Matrix algebra", } @InProceedings{Duff:1988:SE, author = "Iain S. Duff", title = "Supercomputing in {Europe} --- 1987", crossref = "Houstis:1988:SIC", pages = "1031--1041", year = "1988", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "In recent years there has been a large increase in the number of supercomputers in Europe. The author examines their distribution both by country and by manufacturer and also by the major application of the supercomputer sites. He discusses reasons for their acquisition and the main advantages of supercomputing as perceived by the installations themselves. Throughout, he compares his findings with a survey which was conducted in 1984 and highlights the major differences in the European supercomputing scene since that time.", acknowledgement = ack-nhfb, affiliation = "Div. of Comput. Sci. and Syst., Harwell Lab., Didcot, UK", classification = "C5440 (Multiprocessor systems and techniques)", keywords = "Supercomputers", thesaurus = "Parallel processing", } @Article{Duff:1988:SSG, author = "Iain S. Duff and A. M. Erisman and C. W. Gear and J. K. Reid", title = "Sparsity Structure and {Gaussian} Elimination", journal = j-SIGNUM, volume = "23", number = "2", pages = "2--8", month = apr, year = "1988", CODEN = "SNEWD6", DOI = "https://doi.org/10.1145/47917.47918", ISSN = "0163-5778 (print), 1558-0237 (electronic)", ISSN-L = "0163-5778", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/signum.bib", URL = "https://dl.acm.org/doi/10.1145/47917.47918", abstract = "In this paper we collate and discuss some results on the sparsity structure of a matrix. If a matrix is irreducible, Gaussian elimination yields an $ L U $ factorization in which $L$ has at least one entry beneath the diagonal in every column except the last and $U$ has at least one entry to the right of the diagonal in every row except the last. If this factorization is used to solve the equation $ A x = b $, the intermediate vector has an entry in its last component and the solution $x$ is full. Furthermore, the inverse of $A$ is full. Where the matrix is reducible, these results are applicable to the diagonal blocks of its block triangular form.", acknowledgement = ack-nhfb, author-dates = "Charles William ``Bill'' Gear (1 February 1935--15 March 2022)", fjournal = "ACM SIGNUM Newsletter", journal-URL = "https://dl.acm.org/loi/signum", keywords = "theory; verification", subject = "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices", } @InProceedings{Amestoy:1989:EUP, author = "P. R. Amestoy and M. Dayd{\'e} and I. S. Duff", title = "Efficient use of parallel matrix-matrix kernels in linear algebra on the {Alliant FX/80}, the {CRAY-2}, the {ETA-10P}, and the {IBM 3090}", crossref = "Anonymous:1989:SPC", pages = "149--153", year = "1989", bibdate = "Mon Jan 02 08:49:50 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Amestoy:1989:UCK, author = "P. R. Amestoy and M. Dayd{\'e} and Iain S. Duff", title = "Use of computational kernels in the solution of full and sparse linear equations", crossref = "Cosnard:1989:PDA", pages = "13--19", year = "1989", bibdate = "Wed Mar 15 17:29:41 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Amestoy:1989:ULBa, author = "P. R. Amestoy and M. J. Dayd{\'e} and I. S. Duff", title = "Use of {Level 3 BLAS} kernels in the solution of full and sparse linear equations", type = "Technical report", number = "TR 89/9", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", month = mar, year = "1989", bibdate = "Wed Sep 22 11:00:59 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Amestoy:1989:ULBb, author = "P. R. Amestoy and M. Dayd{\'e} and Iain S. Duff", title = "Use of {Level 3 BLAS} in the solution of full and sparse linear equations", crossref = "Delhaye:1989:HPC", pages = "19--31", year = "1989", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Amestoy:1989:VMM, author = "Patrick R. Amestoy and Iain S. Duff", title = "Vectorization of a Multiprocessor Multifrontal Code", journal = j-IJSA, volume = "3", number = "3", pages = "41--59", month = sep, year = "1989", CODEN = "IJSAE9", DOI = "https://doi.org/10.1177/109434208900300303", ISSN = "0890-2720", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/ijsa.bib", URL = "http://journals.sagepub.com/doi/pdf/10.1177/109434208900300303", acknowledgement = ack-nhfb, fjournal = "International Journal of Supercomputer Applications", journal-URL = "http://hpc.sagepub.com/content/by/year", } @Article{Arioli:1989:ASA, author = "Mario Arioli and Iain S. Duff and Peter P. M. {de Rijk}", title = "On the Augmented System Approach to Sparse Least-Squares Problems", journal = j-NUM-MATH, volume = "55", number = "6", pages = "667--684", month = aug, year = "1989", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389335", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20", MRnumber = "90g:65048", MRreviewer = "Frank Natterer", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Div. of Comput. Sci. and Syst., Harwell Lab., Didcot, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "augmented system approach; Bjorck scaling; error analysis; error bounds; least squares approximations; lsq; nla; numerical properties; pert; sparse; sparse least-squares problems", mynote = "Harwell CS223, Oct 88", treatment = "T Theoretical or Mathematical", } @Article{Arioli:1989:SSL, author = "Mario Arioli and James W. Demmel and Iain S. Duff", title = "Solving sparse linear systems with sparse backward error", journal = j-SIAM-J-MAT-ANA-APPL, volume = "10", number = "2", pages = "165--190", year = "1989", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/0610013", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F50 (65G05)", MRnumber = "90d:65083", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", keywords = "Block Cimmino; conjugate gradients; multifrontal", } @Article{Dayde:1989:LBL, author = "Michel J. Dayd{\'e} and Iain S. Duff", title = "{Level 3 BLAS} in {LU} Factorization on the {CRAY-2}, {ETA-10P}, and {IBM 3090-200\slash VF}", journal = j-IJSA, volume = "3", number = "2", pages = "40--70", month = "Summer", year = "1989", CODEN = "IJSAE9", DOI = "https://doi.org/10.1177/109434208900300204", ISSN = "0890-2720", bibdate = "Thu Aug 22 17:56:36 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Supercomputer Applications", journal-URL = "http://hpc.sagepub.com/content/by/year", xxtitle = "Use of {Level 3 BLAS} in $\bf {LU}$ factorization on the {CRAY-2}, the {ETA 10-P}, and the {IBM 3090 VF}", } @InProceedings{Dongarra:1989:PSL, author = "Jack J. Dongarra and Jeremy {Du Croz} and Iain S. Duff and Sven Hammarling", title = "A proposal for a set of {Level 3 Basic Linear Algebra Subprograms}", crossref = "Rodrigue:1989:PPS", pages = "40--44", year = "1989", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Dongarra:1989:UNL, author = "Jack Dongarra and Iain Duff and Jeremy Du Croz and Sven Hammarling", title = "An update notice on the level 3 {BLAS}", journal = j-SIGNUM, volume = "24", number = "1", pages = "9--10", month = jan, year = "1989", CODEN = "SNEWD6", ISSN = "0163-5778 (print), 1558-0237 (electronic)", ISSN-L = "0163-5778", bibdate = "Mon Apr 25 14:38:06 MDT 2005", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "In April 1987 we published a proposal for a set of Level 3 BLAS (Argonne National Laboratory ANL-MCS-TM 88, May 1988). Since then the proposal has been presented and discussed at various meetings, comments have been received, and experience gained in using the Level 3 BLAS to code block-structured algorithms in linear algebra. As a result the authors have decided to make a number of changes to the original proposal. They outline these changes.", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics); C4140 (Linear algebra)", classification = "C4140 (Linear algebra); C7310 (Mathematics)", fjournal = "ACM SIGNUM Newsletter", journal-URL = "https://dl.acm.org/loi/signum", keywords = "block-structured algorithms; Block-structured algorithms; Level 3 BLAS; level 3 BLAS; linear algebra; Linear algebra; mathematics computing", thesaurus = "Linear algebra; Mathematics computing", } @Article{Duff:1989:AS, author = "Iain S. Duff", title = "Architectures and systems", journal = j-COMP-PHYS-REP, volume = "11", number = "1--6", pages = "1--20", month = nov, year = "1989", CODEN = "CPHREF", DOI = "https://doi.org/10.1016/0167-7977(89)90016-6", ISSN = "0167-7977 (print), 1878-1004 (electronic)", ISSN-L = "0167-7977", bibdate = "Tue Dec 12 11:09:40 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, journal-URL = "http://www.sciencedirect.com/science/journal/01677977", } @Article{Duff:1989:CEC, author = "Iain S. Duff", title = "{CERFACS}: a {European Center for High-Performance Computation}. {Centers of Supercomputing}", journal = j-IJSA, volume = "3", number = "2", pages = "6--9", year = "1989", CODEN = "IJSAE9", ISSN = "0890-2720", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Supercomputer Applications", journal-URL = "http://hpc.sagepub.com/content/by/year", } @Book{Duff:1989:DMS, author = "Iain S. Duff and A. M. (Albert Maurice) Erisman and John Ker Reid", title = "Direct methods for sparse matrices", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xiv + 34", year = "1989", ISBN = "0-19-853421-3 (paperback)", ISBN-13 = "978-0-19-853421-1 (paperback)", LCCN = "QA188 .D84 1989", bibdate = "Sat Dec 31 14:06:36 MST 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; library.ox.ac.uk:210/ADVANCE", series = "Monographs on numerical analysis", acknowledgement = ack-nhfb, subject = "Sparse matrices; Data processing", } @Article{Duff:1989:DS, author = "Iain S. Duff", title = "Direct solvers", journal = j-COMP-PHYS-REP, volume = "11", number = "1--6", pages = "21--50", year = "1989", CODEN = "CPHREF", DOI = "https://doi.org/10.1016/0167-7977(89)90017-8", ISSN = "0167-7977 (print), 1878-1004 (electronic)", ISSN-L = "0167-7977", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, journal-URL = "http://www.sciencedirect.com/science/journal/01677977", } @TechReport{Duff:1989:ECM, author = "Iain S. Duff and Chiara Puglisi", title = "Efficient computation of a matrix-matrix kernel", type = "Report", number = "CSS 238", institution = inst-HARWELL, address = inst-HARWELL:adr, pages = "????", year = "1989", bibdate = "Tue Jan 03 09:09:39 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1989:EOP, author = "Iain S. Duff and G. A. Meurant", title = "The effect of ordering on preconditioned conjugate gradients", journal = j-BIT, volume = "29", number = "4", pages = "635--657", year = "1989", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF01932738", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65F35", MRnumber = "91d:65064", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Wed Jan 17 09:27:45 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", } @InProceedings{Duff:1989:FMM, author = "Iain S. Duff", editor = "J. C. Almond and D. M. Young", booktitle = "Proceedings Modern Numerical Algorithms for Supercomputers", title = "Frontal and multifrontal methods", publisher = pub-UT-A, address = pub-UT-A:adr, pages = "445--487", year = "1989", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1989:MSM, author = "Iain S. Duff", title = "Multiprocessing a sparse matrix code on the {Alliant FX/8}", journal = j-J-COMPUT-APPL-MATH, volume = "27", number = "1--2", pages = "229--239", month = sep, year = "1989", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(89)90368-3", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", bibdate = "Sat Feb 25 12:20:43 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0377042789903683", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @TechReport{Duff:1989:NAG, author = "Iain S. Duff", title = "{Numerical Analysis Group. Progress Report. January 1988--December 1988}", type = "Report", institution = inst-HARWELL, publisher = pub-HMSO, address = pub-HMSO:adr, year = "1989", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "AERE R13391", acknowledgement = ack-nhfb, } @InCollection{Duff:1989:NOC, author = "Iain S. Duff and S. L. Johnsson", title = "Node orderings and concurrency in structurally-symmetric sparse problems", crossref = "Carey:1989:PSM", pages = "177--189", year = "1989", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1989:PAS, author = "Iain S. Duff", title = "Parallel algorithms for sparse matrix solution", crossref = "Evans:1989:PCM", pages = "73--82", year = "1989", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1989:SMT, author = "Iain S. Duff and Roger G. Grimes and John G. Lewis", title = "Sparse Matrix Test Problems", journal = j-TOMS, volume = "15", number = "1", pages = "1--14", month = mar, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/62038.62043", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:42:25 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/62043.html", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "measurement; performance", review = "ACM CR 9002-0143", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Duff:1989:UPR, author = "Iain S. Duff and J. K. Reid and J. A. Scott", title = "The use of profile reduction algorithms with a frontal code", journal = j-INT-J-NUMER-METHODS-ENG, volume = "28", pages = "2555--2568", year = "1989", CODEN = "IJNMBH", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", } @InProceedings{Arioli:1990:BCB, author = "Mario Arioli and Iain S. Duff and Joseph Noailles and Daniel Ruiz", title = "{Block Cimmino} and {Block SSOR} algorithms for solving linear systems in a parallel environment", crossref = "Laforenza:1990:STS", pages = "47--54", year = "1990", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Arioli:1990:BIM, author = "Mario Arioli and Iain S. Duff and Joseph Noailles and Daniel Ruiz", title = "A block iterative method for general sparse equations", crossref = "Evans:1990:PCP", pages = "187--193", year = "1990", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Arioli:1990:BPM, author = "Mario Arioli and Iain Duff and J. Noailles and Daniel Ruiz", title = "A block projection method for sparse matrices", type = "Report", number = "RAL-90-093 and TR-PA-90-31", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", year = "1990", bibdate = "Tue Jan 03 08:47:28 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Arioli:1990:ETL, author = "Mario Arioli and Iain S. Duff", title = "Experiments in tearing large sparse systems", crossref = "Cox:1990:RNC", pages = "207--226", year = "1990", MRclass = "65F50", MRnumber = "098 326", bibdate = "Wed Jan 17 09:24:49 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Arioli:1990:UAC, author = "Mario Arioli and Iain S. Duff and Nicholas I. M. Gould and John K. Reid", title = "Use of the {$ {{\rm P}}^4 $} and {$ {{\rm P}}^5 $} Algorithms for In-Core Factorization of Sparse Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "913--927", month = sep, year = "1990", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0911053", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50", MRnumber = "91f:65084", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", abstract = "Variants of the P/sup 4/ algorithm of Hellerman and Rarick and the P/sup 5/ algorithm of Erisman, Grimes, Lewis, and Poole, used for generating a bordered block triangular form for the in-core solution of sparse sets of linear equations, are considered. A particular concern is with maintaining numerical stability. Methods for ensuring stability and the extra cost that they entail are discussed. Different factorization schemes are also examined. The uses of matrix modification and iterative refinement are considered, and the best variant is compared with an established code for the solution of unsymmetric sparse sets of linear equations. The established code is usually found to be the most effective method.", acknowledgement = ack-nhfb, affiliation = "Centre Eur. de Recherche et de Formation Avanc{\'e}e en Calcul Sci., Toulouse, France", classification = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Centre Eur. de Recherche et de Formation Avanc{\'e}e en Calcul Sci., Toulouse, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "bordered block triangular form; factorization; in-core factorization; iterative refinement; linear equations; numerical stability; P/sup 4/ algorithm; P/sup 5/ algorithm; sparse matrices; unsymmetric sparse sets", onlinedate = "September 1990", thesaurus = "Iterative methods; Linear programming; Matrix algebra", treatment = "T Theoretical or Mathematical", } @TechReport{Dayde:1990:ULB, author = "M. J. Dayde and I. S. Duff", title = "Use of {Level 3 BLAS} in {LU} factorization in a multiprocessing environment on three vector multiprocessors: The {ALLIANT FX/80}, the {CRAY-2}, and the {IBM-3090 VF}", type = "Report", number = "RAL-90-083", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1990", bibdate = "Tue Jan 03 08:50:06 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Dayde:1990:UPL, author = "Michel J. Dayd{\'e} and Iain S. Duff", title = "Use of parallel {Level 3 BLAS} in $ \bf {LU} $ factorization on three vector multiprocessors, the {Alliant FX\slash 80}, the {CRAY-2}, and the {IBM 3090 VF}", journal = j-COMP-ARCH-NEWS, volume = "18", number = "3", pages = "82--95", year = "1990", CODEN = "CANED2", ISSN = "0163-5964 (ACM), 0884-7495 (IEEE)", ISSN-L = "0163-5964", bibdate = "Tue Sep 03 13:02:56 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Conference proceedings. 1990 International conference on Supercomputing, Amsterdam", abstract = "The authors describe efficient and portable implementations of LU factorization on parallel vector computers with a global shared memory using Level 2 and Level 3 BLAS. They demonstrate how the Level 3 BLAS can be used to exploit parallelism, and that, though an optimal implementation of the code depends on the characteristics of the target computer, high performance can be reached by taking advantage of both vectorization and concurrency. Of course, the performance obtained is closely linked to the efficiency of the Level 3 BLAS available on the target computer. The authors have seen that the parallel version of LU factorization only provides a small performance improvement over the version using only parallel BLAS on the CRAY-2 and the IBM 3090. They have observed that, although the CRAY-2 is a very powerful vector computer, it has some limitations in its use in a multiprocessing mode. On the ALLIANT FX/80, they can efficiently parallelize all the BLAS kernels (including Level 1 and Level 2 BLAS) using microtasking so that they were not able to obtain any improvement of the speedup with a parallel version of LU factorization.", acknowledgement = ack-nhfb, affiliation = "CERFACS, Toulouse, France", classification = "C5440 (Multiprocessor systems and techniques); C5470 (Performance evaluation and testing); C7310 (Mathematics)", fjournal = "ACM SIGARCH Computer Architecture News", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J89", keywords = "Alliant FX/80; Concurrency; Cray-2; Global shared memory; IBM 3090 VF; LU factorization; Multiprocessors; Parallel Level 3 BLAS; Parallel version; Portable implementations; Vectorization", thesaurus = "Mathematics computing; Parallel processing; Performance evaluation", } @Article{Dongarra:1990:ASL, author = "Jack J. Dongarra and Jeremy Du Croz and Sven Hammarling and Iain Duff", title = "Algorithm 679: {A} Set of Level 3 {Basic Linear Algebra Subprograms}: Model Implementation and Test Programs", journal = j-TOMS, volume = "16", number = "1", pages = "18--28", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.77627", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 17:29:49 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "See also \cite{Higham:1990:EFM,Demmel:1992:SBA,Dayde:1994:PBI}.", URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/77627.html", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms; measurement; performance; reliability; verification", subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN 8X. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Dongarra:1990:SLB, author = "Jack J. Dongarra and Jeremy Du Croz and Sven Hammarling and Iain Duff", title = "A Set of Level 3 {Basic Linear Algebra Subprograms}", journal = j-TOMS, volume = "16", number = "1", pages = "1--17", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.79170", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 19:10:43 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/79170.html", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms; kernels, linear algebra; measurement; performance; reliability; verification", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms.", } @InProceedings{Duff:1990:CSS, author = "Iain S. Duff and Jaap Hollenberg", editor = "????", booktitle = "Proceedings of SUP'EUR Fall'90 Meeting, Aachen, September 1990", title = "Current status in scientific computing", publisher = "????", address = "????", pages = "18", year = "1990", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, keywords = "Supercomputing in Europe (User's Group)", } @InProceedings{Duff:1990:ECM, author = "Iain S. Duff and Chiara Puglisi", title = "Efficient computation of a matrix-matrix kernel", crossref = "Laforenza:1990:STS", pages = "541--547", year = "1990", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1990:FSS, author = "I. S. Duff and N. I. M. Gould and J. K. Reid and J. A. Scott and K. Turner", title = "The factorization of sparse symmetric indefinite matrices", type = "Report", number = "RAL-90-066", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1990", bibdate = "Tue Jan 03 08:52:30 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1990:MMP, author = "Iain S. Duff and Nicholas I. M. Gould and Marc Lescrenier and John K. Reid", title = "The multifrontal method in a parallel environment", crossref = "Cox:1990:RNC", pages = "93--111", year = "1990", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1990:MSM, author = "Iain S. Duff", title = "Multiprocessing a sparse matrix code on the {Alliant FX-8}", crossref = "vanderVorst:1990:PAN", pages = "??--??", year = "1990", bibdate = "Sat Dec 31 13:03:17 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1990:PAR, author = "Iain S. Duff", title = "Parallel algorithm research at {CERFACS}", crossref = "IEEE:1990:PSN", pages = "536--542", year = "1990", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "The author discusses the present status of CERFACS, a European Centre for Research and Advanced Training in Supercomputing situated in Toulouse in southwestern France. The Parallel Algorithm Team has been a central group in CERFACS since the Center started in 1987. Its main focus is the efficient solution of large sparse systems on vector and parallel architectures. The author discusses in detail two such projects, namely the solution by direct methods using a multifrontal scheme and by iterative methods using a block projection method. Particular emphasis is placed on the portability of the algorithmic paradigms over a range of architectures so that high efficiency can be obtained with a minimum and isolated degree of tuning.", acknowledgement = ack-nhfb, affiliation = "Rutherford Appleton Lab., Chilton, UK", classification = "C4140 (Linear algebra); C4170 (Differential equations); C6110 (Systems analysis and programming)", keywords = "Block projection method; CERFACS; Direct methods; European Centre for Research and Advanced Training in Supercomputing; France; Iterative methods; Large sparse systems; Multifrontal scheme; Parallel Algorithm Team; Portability", thesaurus = "Iterative methods; Parallel algorithms; Software portability", } @InProceedings{Duff:1990:PCC, author = "Iain S. Duff", title = "Parallel computation at {CERFACS}", crossref = "Dongarra:1990:PPS", pages = "66--67", year = "1990", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1990:PSS, author = "Iain S. Duff", title = "The present status of supercomputing in {Europe}", crossref = "JAERI:1990:FIC", pages = "257--263", year = "1990", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1990:S, author = "Iain S. Duff", title = "Supercomputers --- 1988", crossref = "Manley:1990:PTE", pages = "31--44", year = "1990", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1990:SLS, author = "Iain S. Duff", title = "The solution of large-scale least-squares problems on supercomputers", journal = j-ANN-OPER-RESEARCH, volume = "22", number = "1", pages = "241--252", month = dec, year = "1990", CODEN = "AOREEV", DOI = "https://doi.org/10.1007/BF02023055", ISSN = "0254-5330 (print), 1572-9338 (electronic)", ISSN-L = "0254-5330", MRclass = "65F99 (90C20)", MRnumber = "91a:65122", bibdate = "Wed Jan 17 09:18:54 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Annals of Operations Research", journal-URL = "https://link.springer.com/journal/10479", } @Article{Higham:1990:EFM, author = "Nicholas J. Higham", title = "Exploiting Fast Matrix Multiplication Within the Level 3 {BLAS}", journal = j-TOMS, volume = "16", number = "4", pages = "352--368", month = dec, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/98267.98290", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:21:57 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Describes algorithms based on Strassen's method which are asymptotically faster than the standard $ {N}^3 $ algorithm, and in practice, faster for $ {N} \approx 100 $, and examines their numerical stability. See \cite{Dongarra:1990:ASL,Demmel:1992:SBA}.", URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/98290.html", abstract = "The Level 3 BLAS (BLAS3) are a set of specifications of FORTRAN 77 subprograms for carrying out matrix multiplications and the solution of triangular systems with multiple right-hand sides. They are intended to provide efficient and portable building blocks for linear algebra algorithms on high-performance computers. We describe algorithms for the BLAS3 operations that are asymptotically faster than the conventional ones. These algorithms are based on Strassen's method for fast matrix multiplication, which is now recognized to be a practically useful technique once matrix dimensions exceed about 100. We pay particular attention to the numerical stability of these ``fast BLAS3.'' Error bounds are given and their significance is explained and illustrated with the aid of numerical experiments. Our conclusion is that the fast BLAS3, although not as strongly stable as conventional implementations, are stable enough to merit careful consideration in many applications.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN 77.", } @Article{Amestoy:1991:DPS, author = "Patrick R. Amestoy and Michel J. Dayd{\'e} and Iain S. Duff", title = "Designing portable parallel software for linear algebra", journal = j-THEOR-CHIM-ACTA, volume = "79", number = "3", pages = "169--174", year = "1991", CODEN = "TCHAAM", DOI = "https://doi.org/10.1007/BF01113688", ISSN = "0040-5744", bibdate = "Tue Sep 3 12:52:10 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Theoretica Chimica Acta", journal-URL = "http://link.springer.com/journal/214", } @TechReport{Arioli:1991:SCI, author = "Mario Arioli and Iain Duff and Daniel Ruiz", title = "Stopping criteria for iterative solvers", type = "Report", number = "RAL-91-057", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1991", bibdate = "Tue Jan 03 08:45:01 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Arioli:1991:TAB, author = "M. Arioli and Iain S. Duff and D. Ruiz and M. Sadkane", title = "Techniques for accelerating the {Block Cimmino} method", number = "TR/PA/91/63", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1991", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Dayde:1991:ULB, author = "Michel J. Dayd{\'e} and Iain S. Duff", title = "Use of {Level 3 BLAS} in $ \bf {LU} $ factorization in a multitasking environment on three vector multiprocessors, the {CRAY-2}, the {IBM 3090 VF} and the {Alliant FX\slash 80}", journal = j-IJSA, volume = "5", number = "3", pages = "92--110", year = "1991", CODEN = "IJSAE9", DOI = "https://doi.org/10.1177/109434209100500308", ISSN = "0890-2720", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "Studies various implementations of block Gaussian elimination on full matrices and examines their performance on three parallel computers, the Alliant FX\slash 80, the CRAY-2 and the IBM 3090-400/VF. These implementations are expressed in terms of Level 3 BLAS matrix-matrix kernels. The authors consider the use of parallel Level 3 BLAS kernels and compare the parallelism obtained within the computational kernels with that obtained when parallelizing over the kernels. They show that the use of parallel Level 3 BLAS allows portability without sacrifice of efficiency, even in a parallel environment, and that high speeds can be obtained if tuned versions of the kernels are available.", acknowledgement = ack-nhfb, affiliation = "CERFACS, Toulouse, France", classification = "C4140 (Linear algebra); C6110P (Parallel programming)", fjournal = "International Journal of Supercomputer Applications", journal-URL = "http://hpc.sagepub.com/content/by/year", keywords = "Alliant FX/80; Block Gaussian elimination; CRAY-2; Full matrices; IBM 3090-400/VF; Level 3 BLAS; Matrix-matrix kernels; Multiprocessing environment; Parallel computers; Parallelism; Portability", pubcountry = "USA", thesaurus = "Matrix algebra; Parallel programming", } @Book{Dongarra:1991:SLS, author = "Jack J. Dongarra and Iain S. Duff and Danny C. Sorensen and Henk A. {van der Vorst}", title = "Solving Linear Systems on Vector and Shared Memory Computers", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "x + 256", year = "1991", ISBN = "0-89871-270-X", ISBN-13 = "978-0-89871-270-4", LCCN = "QA184 .S65 1991", bibdate = "Mon Oct 26 07:30:53 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/texbook2.bib; MathSciNet database", acknowledgement = ack-nhfb, tableofcontents = "Introduction / 1 \\ 1 Vector and Parallel Processing / 3 \\ 1.1 Traditional Computers and Their Limitations / 3 \\ 1.2 Parallelism within a Single Processor / 4 \\ 1.2.1 Multiple Functional Units / 4 \\ 1.2.2 Pipelining / 4 \\ 1.2.3 Overlapping / 6 \\ 1.2.4 RISC / 7 \\ 1.2.5 VLIW / 8 \\ 1.2.6 Vector Instructions / 8 \\ 1.2.7 Chaining / 9 \\ 1.2.8 Memory-to-Memory and Register-to-Register Organizations / 10 \\ 1.2.9 Register Set / 10 \\ 1.2.10 Stripmining / 11 \\ 1.2.11 Reconfigurable Vector Registers / 11 \\ 1.2.12 Memory Organization / 12 \\ 1.3 Data Organization / 14 \\ 1.3.1 Main Memory / 14 \\ 1.3.2 Cache / 16 \\ 1.3.3 Local Memory / 18 \\ 1.4 Memory Management / 18 \\ 1.5 Parallelism through Multiple Pipes or Multiple Processors / 21 \\ 1.6 Interconnection Topology / 22 \\ 1.6.1 Crossbar Switch / 23 \\ 1.6.2 Timeshared Bus / 24 \\ 1.6.3 Ring Connection / 25 \\ 1.6.4 Mesh Connection / 25 \\ 1.6.5 Hypercube / 26 \\ 1.6.6 Multistaged Network / 27 \\ 1.7 Programming Techniques / 29 \\ 2 Overview of Current High-Performance Computers / 33 \\ 2.1 Supercomputers / 33 \\ 2.2 Mini-Supercomputers / 36 \\ 2.3 Vector Mainframes / 37 \\ 2.4 Novel Parallel Processors / 37 \\ 3 Implementation Details and Overhead / 43 \\ 3.1 Parallel Decomposition and Data Dependency Graphs / 43 \\ 3.2 Synchronization / 46 \\ 3.3 Load Balancing / 48 \\ 3.4 Recurrence / 49 \\ 3.5 Indirect Addressing / 51 \\ 4 Performance: Analysis, Modeling, and Measurements / 53 \\ 4.1 Amdahl's Law / 54 \\ 4.1.1 Simple Case of Amdahl's Law / 54 \\ 4.1.2 General Form of Amdahl's Law / 55 \\ 4.2 Vector Speed and Vector Length / 56 \\ 4.3 Amdahl's Law-Parallel Processing / 57 \\ 4.3.1 A Simple Model / 60 \\ 4.3.2 Gustafson's Model / 60 \\ 4.4 Examples of $(r_\infty, n_{1/2})$-values for Various Computers / 60 \\ 4.4.1 CRAY-1 and CRAY-2 (one processor) / 62 \\ 4.4.2 CRAY X-MP (one processor; clock cycle time 8.5 nsec) / 63 \\ 4.4.3 CYBER 205 (2-pipe) and ETA-10P (single processor) / 63 \\ 4.4.4 IBM 3090/VF (1 processor; clock cycle time 18.5 nsec) / 64 \\ 4.4.5 NEC SX/2 / 65 \\ 4.4.6 Convex C-1 and Convex C-210 / 66 \\ 4.4.7 Alliant FX/80 / 66 \\ 4.4.8 General Observations / 68 \\ 4.5 LINPACK Benchmark / 68 \\ 4.5.1 Description of the Benchmark / 69 \\ 4.5.2 Calls to the BLAS / 69 \\ 4.5.3 Asymptotic Performance / 75 \\ 5 Building Blocks in Linear Algebra / 75 \\ 5.1 Basic Linear Algebra Subprograms / 75 \\ 5.1.1 Level 1 BLAS / 76 \\ 5.1.2 Level 2 BLAS / 77 \\ 5.1.3 Level 3 BLAS / 78 \\ 5.2 Levels of Parallelism / 81 \\ 5.2.1 Vector Computers / 81 \\ 5.2.2 Parallel Processors with Shared Memory / 82 \\ 5.2.3 Parallel-Vector Computers / 83 \\ 5.2.4 Clusters of Parallel Vector Processors / 84 \\ 5.3 Basic Factorizations of Linear Algebra / 84 \\ 5.3.1 Point Algorithm: Gaussian Elimination with Partial Pivoting / 84 \\ 5.3.2 Special Matrices / 86 \\ 5.4 Blocked Algorithms: Matrix-Vector and Matrix-Matrix Versions / 89 \\ 5.4.1 Right-Looking Algorithm / 90 \\ 5.4.2 Left-Looking Algorithm / 92 \\ 5.4.3 Crout Algorithm / 98 \\ 5.4.4 Typical Performance of Blocked LU Decomposition / 94 \\ 5.4.5 Blocked Symmetric Indefinite Factorization / 95 \\ 5.4.6 Typical Performance of Blocked Symmetric Indefinite Factorization. / 98 \\ 5.5 Linear Least Squares / 98 \\ 5.5.1 Householder Method / 99 \\ 5.5.2 Blocked Householder Method / 100 \\ 5.5.3 Typical Performance of the Blocked Householder Factorization / 101 \\ 5.6 Organization of the Modules / 102 \\ 5.6.1 Matrix--Vector Product / 102 \\ 5.6.2 Matrix--Matrix Product / 103 \\ 5.6.3 Typical Performance for Parallel Processing / 104 \\ 5.6.4 Benefits / 105 \\ 5.7 LAPACK / 106 \\ 6 Direct Solution of Sparse Linear Systems / 109 \\ 6.1 Introduction to Direct Methods for Sparse Linear Systems / 111 \\ 6.1.1 Three Approaches / 111 \\ 6.1.2 Description of Sparse Data Structure / 112 \\ 6.1.3 Manipulation of Sparse Data Structure / 114 \\ 6.2 General Sparse Matrix Methods / 116 \\ 6.3 Methods for Symmetric Matrices and Band Systems / 124 \\ 6.3.1 The Clique Concept in Gaussian Elimination / 125 \\ 6.3.2 Code Performance and Symmetry / 128 \\ 6.4 Frontal Methods / 130 \\ 6.4.1 Organization / 130 \\ 6.4.2 Vector Performance / 132 \\ 6.5 Multifrontal Methods / 135 \\ 6.5.1 Performance on Vector Machines / 139 \\ 6.5.2 Performance on Parallel Machines / 139 \\ 6.6 Other Approaches for Exploitation of Parallelism / 141 \\ 6.7 Software / 141 \\ 6.8 Brief Summary / 142 \\ 7 Iterative Solution of Sparse Linear Systems / 143 \\ 7.1 Iterative Methods / 145 \\ 7.1.1 Conjugate Gradient / 145 \\ 7.1.2 Least Squares Conjugate Gradients / 148 \\ 7.1.3 Biconjugate Gradients / 150 \\ 7.1.4 Conjugate Gradient Squared / 152 \\ 7.1.5 GMRES and GMRES(m) / 154 \\ 7.1.6 Adaptive Chebychev / 156 \\ 7.2 Vector and Parallel Aspects / 158 \\ 7.2.1 General Remarks / 158 \\ 7.2.2 Sparse Matrix-Vector Multiplication / 160 \\ 7.2.3 Performance of the Unpreconditioned Methods / 164 \\ 7.3 Preconditioning / 165 \\ 7.3.1 General Aspects / 165 \\ 7.3.2 Efficient Implementations / 168 \\ 7.3.3 Partial Vectorization / 170 \\ 7.3.4 Reordering the Unknowns / 172 \\ 7.3.5 Changing the Order of Computation / 174 \\ 7.3.6 Some Other Vectorizable Preconditioners / 180 \\ 7.3.7 Parallel Aspects / 183 \\ 7.4 Experiences with Parallelism / 186 \\ 7.4.1 General Remarks / 186 \\ 7.4.2 Overlapping Local Preconditioners / 186 \\ 7.4.3 Repeated Twisted Factorization / 188 \\ 7.4.4 Twisted and Nested Twisted Factorization / 189 \\ 7.4.5 Hyperplane Ordering / 189 \\ A Acquiring Mathematical Software / 191 \\ B Glossary / 197 \\ C Information on Various High-Performance Computers / 213 \\ D Level 1, 2, and 3 BLAS Quick Reference / 221 \\ E Operation Counts for Various BLAS and Decompositions / 227 \\ Index / 247", } @TechReport{Duff:1991:CSE, author = "I. S. Duff and J. A. Scott", title = "Computing selected eigenvalues of sparse unsymmetric matrices using subspace iteration", type = "Report", number = "RAL-91-056", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1991", bibdate = "Tue Jan 03 08:46:07 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1991:FSS, author = "Iain S. Duff and N. I. M. Gould and J. K. Reid and J. A. Scott and K. Turner", title = "Factorization of sparse symmetric indefinite matrices", journal = j-IMA-J-NUMER-ANAL, volume = "11", number = "2", pages = "181--204", year = "1991", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/11.2.181", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", bibdate = "Sat Dec 23 14:55:00 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", keywords = "sparse, augms", } @Article{Duff:1991:MRB, author = "I. S. Duff and G. A. Watson", title = "{A. R. Mitchell} 70th Birthday Issue --- Editorial", journal = j-IMA-J-NUMER-ANAL, volume = "11", number = "4", pages = "U449--U449", month = "????", year = "1991", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", bibdate = "Tue Jun 4 09:26:54 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @TechReport{Duff:1991:NAG, author = "Iain S. Duff", title = "{Numerical Analysis Group. Progress Report. January 1989--December 1990}", type = "Report", number = "RAL 91-041", institution = inst-RAL, address = inst-RAL:adr, year = "1991", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1991:PAG, author = "Iain S. Duff", title = "Parallel algorithms for general sparse systems", crossref = "Spedicato:1991:CAS", pages = "277--297", year = "1991", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1991:SSL, author = "I. S. Duff", title = "Solution of Sparse Linear Equations on Supercomputers", crossref = "Anonymous:1991:PIS", pages = "252--??", year = "1991", bibdate = "Thu Sep 16 09:48:36 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1991:TJA, author = "Iain S. Duff and D. K. Kahaner", title = "Two {Japanese} approaches to circuit simulation", journal = "Scientific Information Bulletin and Office of Naval Research Asian Office. NAVSO P-3580", volume = "16", number = "1", pages = "21--26", year = "1991", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InCollection{Amestoy:1992:EUP, author = "P. Amestoy and M. Dayd{\'e} and I. Duff", title = "Efficient use of parallel matrix-matrix kernels in linear algebra on the {Alliant FX\slash 80}, the {Cray-2}, the {ETA-10P}, and the {IBM 3090}", crossref = "Perrott:1992:SPC", pages = "255--262", year = "1992", bibdate = "Mon Sep 9 07:55:25 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "The use of Level 3 BLAS computational kernels (J. J. Dongarra et al. 1988) on parallel vector computers with a global shared memory is considered. This class of computer architecture is widely used in the design of today's supercomputers including the Cray-2, the ETA 10P, the IBM 3090 and the Alliant FX\slash 80. The aim of this work is to show that, based on the use of Level 3 BLAS kernels, portable and efficient code can be designed even in a multiprocessing environment. The authors illustrate this on the solution of sets of linear equations: Ax=b both when the matrix A is full and when it is sparse. They go on to consider the case of full systems of equations and compare the parallelism obtained within the computational kernels with that obtained over the kernels. They also examine the case when A is sparse and analyse the influence of this lower level of parallelism (within Level 3 BLAS) on the global parallelism of the method.", acknowledgement = ack-nhfb, affiliation = "CERFACS, Toulouse, France", classification = "C4140 (Linear algebra); C5220P (Parallel architecture); C5440 (Multiprocessor systems and techniques); C6110P (Parallel programming); C6150J (Operating systems)", keywords = "Alliant FX/80; Computer architecture; Cray-2; ETA 10P; Global shared memory; IBM 3090; Level 3 BLAS computational kernels; Linear algebra; Multiprocessing environment; Parallel matrix-matrix kernels; Parallel vector computers; Parallelism; Supercomputers", pubcountry = "UK", thesaurus = "Matrix algebra; Operating systems [computers]; Parallel algorithms; Parallel architectures; Parallel machines; Parallel programming; Subroutines", } @InProceedings{Amestoy:1992:LACa, author = "P. R. Amestoy and M. J. Dayd{\'e} and Iain S. Duff and P. Mor{\`e}re", title = "Linear algebra calculations on the {BBN TC200}", crossref = "Bouge:1992:PPC", pages = "319--330", year = "1992", bibdate = "Wed Mar 15 17:30:09 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Also published as CERFACS Report TR/PA/92/69.", abstract = "The BBN TC2000 is a distributed-memory multiprocessor with up to 512 RISC processor nodes. The originality of the BBN TC2000 comes from its interconnection network (Butterfly switch) and from its globally addressable memory. The authors evaluate, in this paper, the impact of the memory hierarchy of the TC2000 on the design of algorithms for linear algebra. On shared memory multiprocessor computers, block algorithms have been introduced for efficiency. They study the potential and the limitations of such approaches on the BBN TC2000. They describe the implementation of Level 3 BLAS and examine the performance of some of the LAPACK routines. They also study the factorization of sparse matrices based on a multifrontal approach. The ideas introduced for the parallelization of full linear algebra codes are applied to the sparse case. They discuss and illustrate the limitations of this approach in sparse multifrontal factorization. They show that the speed-ups obtained on the class of methods presented are comparable to those obtained on more classical shared memory computers.", acknowledgement = ack-nhfb, affiliation = "CERFACS, Toulouse, France", classification = "C4140 (Linear algebra); C4240P (Parallel programming and algorithm theory); C7310 (Mathematics)", keywords = "BBN TC2000; Block algorithms; Butterfly switch; Distributed-memory multiprocessor; Factorization; Globally addressable memory; Interconnection network; LAPACK routines; Level 3 BLAS; Linear algebra; Linear algebra calculations; Memory hierarchy; Multifrontal approach; Parallelization; Performance; Sparse matrices", thesaurus = "Linear algebra; Mathematics computing; Parallel algorithms; Performance evaluation", } @TechReport{Amestoy:1992:LACb, author = "P. R. Amestoy and M. J. Dayd{\'e} and Iain S. Duff and P. Mor{\`e}re", title = "Linear algebra calculations on a virtual shared memory computer", number = "TR/PA/92/70", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1992", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Published in \cite{Amestoy:1993:LAC}.", acknowledgement = ack-nhfb, xxnote = "Check: same report, different titles for \cite{Amestoy:1992:LACb,Arioli:1992:BLT}??", } @TechReport{Arioli:1992:BLT, author = "M. Arioli and Iain S. Duff and D. Ruiz and M. Sadkane", title = "Block {L{\'a}nczos} techniques for accelerating the {Block Cimmino} method", number = "TR/PA/92/70", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1992", bibdate = "Sat Apr 16 15:27:17 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Published in \cite{Arioli:1995:BLT}.", acknowledgement = ack-nhfb, xxnote = "Check: same report, different titles for \cite{Amestoy:1992:LACb,Arioli:1992:BLT}??", } @Article{Arioli:1992:BPM, author = "Mario Arioli and Iain Duff and Joseph Noailles and Daniel Ruiz", title = "A Block Projection Method for Sparse Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "47--70", month = jan, year = "1992", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0913003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F10 65Y05)", MRnumber = "92g:65053", bibdate = "Wed Jan 17 09:36:14 MST 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "First Copper Mountain Conference on Iterative Methods.", abstract = "A block version of the Cimmino algorithm for solving general sets of consistent sparse linear equations is described. The case of matrices in block tridiagonal form is emphasized because it is assumed that the general case can be reduced to this form by permutations. It is shown how the basic method can be accelerated by using the conjugate gradient (CG) algorithm. This acceleration is very dependent on a partitioning of the original system and several possible partitionings are discussed. Underdetermined systems corresponding to the subproblems of the partitioned system are solved using the Harwell sparse symmetric indefinite solver MA27 on an augmented system. These systems are independent and can be solved in parallel. An analysis of the iteration matrix for the conjugate gradient acceleration leads to the consideration of rather unusual and novel scalings of the matrix that alter the spectrum of the iteration matrix to reduce the number of CG iterations. The various aspects of this algorithm have been tested by runs on an eight-processor Alliant FX\slash 80 on four block tridiagonal systems, two from fluid dynamics simulations and two from the literature. The effect of partitioning and scaling on the number of iterations and overall elapsed time for solution is studied. In all cases, an accurate solution with rapid convergence can be obtained.", acknowledgement = ack-nhfb, affiliation = "Centre Europ{\'e}en de Recherche et de Formation Avanc{\'e}e en Calcul Sci., Toulouse, France", classification = "A0210 (Algebra, set theory, and graph theory); A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects); A4710 (General theory, simulation and other computational methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C7320 (Physics and Chemistry)", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Alliant FX/80; Block Cimmino, conjugate gradients, multifrontal; Block projection method; Block tridiagonal systems; Cimmino algorithm; Conjugate gradient acceleration; Consistent sparse linear equations; Convergence; Fluid dynamics simulations; Harwell sparse symmetric indefinite solver MA27; Iteration matrix; Partitioning; Sparse matrices", onlinedate = "January 1992", thesaurus = "Conjugate gradient methods; Convergence of numerical methods; Flow simulation; Fluid dynamics; Matrix algebra; Parallel algorithms; Physics computing", } @Article{Arioli:1992:SCI, author = "Mario Arioli and Iain S. Duff and Daniel Ruiz", title = "Stopping Criteria for Iterative Solvers", journal = j-SIAM-J-MAT-ANA-APPL, volume = "13", number = "1", pages = "138--144", month = jan, year = "1992", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/0613012", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @InProceedings{Arioli:1992:TAB, author = "Mario Arioli and Iain S. Duff and Daniel Ruiz and Miloud Sadkane", title = "Techniques for accelerating the {Block Cimmino} method", crossref = "Dongarra:1992:PFS", pages = "98--104", year = "1992", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Also reprinted in Proceedings of One-day Workshop on Parallel Numerical Analysis, 21 June 1991. Editors D. B. Duncan, K. I. M. Mc Kinnon, and F. Plab. Report EPCC-TR92-05, Edinburgh Parallel Computing Centre, 1--7.", acknowledgement = ack-nhfb, } @TechReport{Davis:1992:UPM, author = "Timothy A. Davis and Iain S. Duff", title = "Unsymmetric-pattern multifrontal methods for parallel sparse $ \bf {LU} $ factorization", type = "Technical Report", number = "TR-91-023", institution = "Computer and Information Science Department, University of Florida", address = "Gainesville, FL 32611, USA", year = "1992", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Dayde:1992:EDV, author = "M. J. Dayd{\'e} and Iain S. Duff and J. Y. L'Excellent and L. Giraud", title = "Evaluation d'ordinateurs vectoriels et parall{\`e}les sur un jeu de programmes repr{\'e}sentatifs des calculs intensifs {\`a} la division avions de l'{A{\'e}rospatiale}: bilan de l'{\'e}tape de portage. ({French}) [{Evaluation} of vector and parallel computers in a programming game representative of numerically-intensive calculations in the airplane division of l'{A{\'e}rospatiale}: Report of the state of the port]", number = "PR/PA/92/10", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1992", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, language = "French", } @Article{Demmel:1992:SBA, author = "James W. Demmel and Nicholas J. Higham", title = "Stability of Block Algorithms with Fast Level-3 {BLAS}", journal = j-TOMS, volume = "18", number = "3", pages = "274--291", month = sep, year = "1992", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/131766.131769", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:27:16 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "See \cite{Dongarra:1990:ASL,Higham:1990:EFM,Dayde:1994:PBI}.", URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/131769.html", abstract = "Block algorithms are becoming increasingly popular in matrix computations. Since their basic unit of data is a submatrix rather than a scalar, they have a higher level of granularity than point algorithms, and this makes them well suited to high-performance computers. The numerical stability of the block algorithms in the new linear algebra program library LAPACK is investigated here. It is shown that these algorithms have backward error analyses in which the backward error bounds are commensurate with the error bounds for the underlying level-3 BLAS (BLAS3). One implication is that the block algorithms are as stable as the corresponding point algorithms when conventional BLAS3 are used. A second implication is that the use of BLAS3 based on fast matrix multiplication techniques affects the stability only insofar as it increases the constant terms in the normwise backward error bounds. For linear equation solvers employing {\em LU} factorization, it is shown that fixed precision iterative refinement helps to mitigate the effect of the larger error constants. Despite the positive results presented here, not all plausible block algorithms are stable; we illustrate this with the example of {\em LU} factorization with block triangular factors and describe how to check a block algorithm for stability without doing a full error analysis.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms; performance", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices.", } @InProceedings{Dongarra:1992:AAC, author = "Jack J. Dongarra and Iain S. Duff", title = "Advanced architecture computers", crossref = "Adeli:1992:SEA", pages = "19--62", year = "1992", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1992:CSE, author = "Iain S. Duff and Jennifer A. Scott", editor = "????", booktitle = "{ERCIM workshop on Numerical Linear Algebra, Software Quality Principles and Techniques, Theoretical and Experimental Aspects of Knowledge Representation, Pisa, Italy, May 21--22, 1992}", title = "Computing selected eigenvalues of sparse unsymmetric matrices", publisher = "ERCIM", address = "????", pages = "53--59", year = "1992", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, xxbooktitle = "Numerical Linear Algebra. ERCIM Workshop Reports. Pisa, May 21--22", xxnote = "Were these proceedings published?? Cannot find them in major library catalogs.", } @TechReport{Duff:1992:PUL, author = "Iain S. Duff and Michele Marrone and Giuseppi Radicati", title = "A proposal for user level sparse {BLAS}: {Sparker} working note no. 1", type = "Report", number = "RAL-92-087 and TR-PA-92-85", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", month = "????", year = "1992", bibdate = "Tue Jan 03 08:42:58 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1992:SLS, author = "Iain S. Duff", title = "The solution of large sparse unstructured unsymmetric systems on modern computers", crossref = "Depeyre:1992:PES", pages = "83", year = "1992", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1992:UGH, author = "Iain S. Duff and Roger G. Grimes and John G. Lewis", title = "Users' Guide for the {Harwell--Boeing Sparse Matrix Collection} ({Release I})", type = "Report", number = "RAL 92-086 and TR/PA/92/86", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "84", month = dec, year = "1992", bibdate = "Mon Jan 02 10:34:05 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, keywords = "sparse", } @Article{Amestoy:1993:LAC, author = "P. R. Amestoy and M. J. Dayd{\'e} and I. S. Duff and P. Mor{\`e}re", title = "Linear algebra calculations on a virtual shared memory computer", journal = j-INT-J-HIGH-SPEED-COMPUTING, volume = "7", number = "1", pages = "21--43", year = "1993", CODEN = "IHSCEZ", DOI = "https://doi.org/10.1142/S0129053395000038", ISSN = "0129-0533", bibdate = "Sat Dec 31 14:13:59 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of High Speed Computing", journal-URL = "http://www.worldscientific.com/worldscinet/ijhsc", } @Article{Amestoy:1993:MMI, author = "Patrick R. Amestoy and Iain S. Duff", title = "Memory management issues in sparse multifrontal methods on multiprocessors", journal = j-IJSA, volume = "7", number = "1", pages = "64--82", year = "1993", CODEN = "IJSAE9", DOI = "https://doi.org/10.1177/109434209300700105", ISSN = "0890-2720", bibdate = "Tue Sep 3 13:05:40 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Supercomputer Applications", journal-URL = "http://hpc.sagepub.com/content/by/year", } @InProceedings{Amestoy:1993:PSS, author = "P. R. Amestoy and M. Dayd{\'e} and Iain S. Duff", booktitle = "{Journ{\'e}es du site exp{\'e}rimental en hyperparall{\`e}lisme, 27--28 janvier, ETCA, Paris}", title = "Parallel solution of sparse linear systems using the multifrontal method", publisher = "CREA", address = "Paris, France", pages = "226--257", year = "1993", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Arioli:1993:CSD, author = "M. Arioli and T. F. Chan and Iain S. Duff and N. I. M. Gould and J. K. Reid", title = "Computing a search direction for large-scale linearly-constrained nonlinear optimization calculations", type = "Report", number = "RAL-93-066 and TR-PA-93-34", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", year = "1993", bibdate = "Tue Jan 03 08:33:41 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Davis:1993:UPM, author = "Timothy A. Davis and Iain S. Duff", title = "An unsymmetric-pattern multifrontal method for sparse {LU} factorization", type = "Report", number = "RAL-93-036", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1993", bibdate = "Tue Jan 03 08:34:40 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Dayde:1993:EDV, author = "M. J. Dayd{\'e} and Iain S. Duff and J. Y. L'Excellent and L. Giraud", title = "Evaluation d'ordinateurs vectoriels et parall{\`e}les sur un jeu de programmes repr{\'e}sentatifs des calculs intensifs {\`a} la division avions de l'{A{\'e}rospatiale}: Rapport final. ({French}) [{Evaluation} of vector and parallel computers in a programming game representative of numerically-intensive calculations in the airplane division of l'{A{\'e}rospatiale}: Final Report]", number = "FR/PA/93/19", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1993", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, language = "French", } @TechReport{Dayde:1993:PBI, author = "Michel J. Dayd{\'e} and Iain S. Duff and Antoine Petitet", title = "A parallel block implementation of {Level 3 BLAS} for {MIMD} vector processors", type = "Report", number = "RAL-93-037", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1993", bibdate = "Tue Jan 03 08:35:20 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Drummond:1993:PDI, author = "L. A. Drummond and I. S. Duff and D. Ruiz", title = "A parallel distributed implementation of the block conjugate gradient algorithm", type = "Report", number = "TR/PA/93/02", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", month = "????", year = "1993", bibdate = "Mon Jan 02 10:20:39 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1993:CSE, author = "Iain S. Duff and J. A. Scott", title = "Computing Selected Eigenvalues of Sparse Unsymmetric Matrices Using Subspace Iteration", journal = j-TOMS, volume = "19", number = "2", pages = "137--159", month = jun, year = "1993", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/152613.152614", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Nov 14 09:56:28 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "See \cite{Duff:1995:CCS}.", URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/152614.html", abstract = "This paper discusses the design and development of a code to calculate the eigenvalues of a large sparse real unsymmetric matrix that are the rightmost, leftmost, or are of the largest modulus. A subspace iteration algorithm is used to compute a sequence of sets of vectors that converge to an orthonormal basis for the invariant subspace corresponding to the required eigenvalues. This algorithm is combined with Chebychev acceleration if the rightmost or leftmost eigenvalues are sought, or if the eigenvalues of largest modulus are known to be the rightmost or leftmost eigenvalues. An option exists for computing the corresponding eigenvectors. The code does not need the matrix explicitly since it only requires the user to multiply sets of vectors by the matrix. Sophisticated and novel iteration controls, stopping criteria, and restart facilities are provided. The code is shown to be efficient and competitive on a range of test problems.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms; design", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Eigenvalues. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Duff:1993:ELF, author = "I. S. Duff and G. A. Watson and others", title = "Editorial: {Leslie Fox}, 1918--1992", journal = j-IMA-J-NUMER-ANAL, volume = "13", number = "1", pages = "i--ii", year = "1993", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "01A70", MRnumber = "1 199 025", bibdate = "Sat Dec 23 17:06:35 MST 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @InProceedings{Duff:1993:EPD, author = "Iain S. Duff", title = "Exploitation of parallelism in direct and semi-direct solution of large sparse systems", crossref = "Fincham:1993:PCB", pages = "159--174", year = "1993", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, keywords = "multifrontal, block iterative", } @TechReport{Duff:1993:MFC, author = "Iain S. Duff and J. K. Reid", title = "{MA48}, a {Fortran} code for direct solution of sparse unsymmetric linear systems of equations", number = "RAL 93-072", institution = inst-RAL, address = inst-RAL:adr, year = "1993", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1993:MNF, author = "Iain S. Duff and J. A. Scott", title = "{MA42} --- {A} new frontal code for solving sparse unsymmetric systems", number = "RAL 93-064", institution = inst-RAL, address = inst-RAL:adr, year = "1993", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1993:SAS, author = "Iain S. Duff", title = "The solution of augmented systems", type = "Report", number = "RAL-93-084", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1993", bibdate = "Tue Jan 03 08:38:31 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Amestoy:1994:DNC, author = "P. R. Amestoy and M. J. Dayd{\'e} and Iain S. Duff", title = "{D}{\'e}veloppement de noyaux de calcul et portage de codes sur calculateurs parall{\`e}les: l'exp{\'e}rience {CERFACS-ENSEEIHT}. ({French}) [Development of computational kernels and porting code to parallel computers: the {CERFACS-ENSEEIHT} experience ]", number = "RT/APO/94/2", institution = "D{\'e}partement Informatique N7 --- IRIT", address = "Toulouse, France", year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, language = "French", } @TechReport{Amestoy:1994:MFM, author = "P. R. Amestoy and Iain S. Duff and C. Puglisi", title = "Multifrontal $ \bf {QR} $ factorization in a multiprocessor environment", type = "Tech. Rep.", number = "TR/PA/94/09", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Amestoy:1994:MPP, author = "P. R. Amestoy and Iain S. Duff", title = "{MUPS}: a parallel package for solving sparse unsymmetric sets of linear equations", number = "(to appear)", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Amestoy:1994:PAS, author = "Patrick R. Amestoy and Michel J. Dayd{\'e} and Iain S. Duff and Jean-Yves L'Excellent and Nick Gould and Chiara Puglisi", title = "Parallel algorithms for structured systems of linear equations", crossref = "Ames:1994:IPI", pages = "1058--1061", year = "1994", bibdate = "Tue Jan 03 06:42:26 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Bouaricha:1994:ESA, author = "A. Bouaricha and Iain S. Duff and N. I. M. Gould", title = "Experiments in solving augmented systems", number = "(to appear)", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Davis:1994:UPM, author = "Timothy A. Davis and Iain S. Duff", title = "An unsymmetric-pattern multifrontal method for sparse {{\boldmath $ L U $}} factorization", type = "Report", number = "TR-94-038", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1994", bibdate = "Tue Jan 03 08:30:30 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Dayde:1994:CE, author = "M. J. Dayd{\'e} and I. S. Duff", title = "The {CERFACS} Experience", crossref = "Dongarra:1994:PSC", pages = "169--176", year = "1994", DOI = "https://doi.org/10.1007/BFb0030145", bibdate = "Tue Sep 3 12:52:10 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Dayde:1994:PBI, author = "Michael J. Dayd{\'e} and Iain S. Duff and Antoine Petitet", title = "A Parallel Block Implementation of {Level-3 BLAS} for {MIMD} Vector Processors", journal = j-TOMS, volume = "20", number = "2", pages = "178--193", month = jun, year = "1994", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/178365.174413", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 09 13:52:29 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "See \cite{Dongarra:1990:ASL,Higham:1990:EFM,Demmel:1992:SBA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms; Level-3 BLAS; matrix-matrix kernels; measurement; parallelization; performance; vectorization", subject = "F.2.1 [Analysis of Algorithms and Problem Complexity]: Numerical Algorithms and Problems--computations on matrices; G.1.0 [Numerical Analysis]: General--numerical algorithms; G.1.3 [Numerical Analysis]: Numerical Linear Algebra--linear systems (direct and iterative methods); G.4 [Mathematics of Computing]: Mathematical Software--certification and testing; efficiency; portability; reliability and robustness; verification", } @TechReport{Dayde:1994:PIC, author = "M. J. Dayd{\'e} and Iain S. Duff", title = "Porting industrial codes and developing sparse linear solvers on parallel computers", number = "RAL 94-019 and C93-09-29.2", institution = inst-RAL, address = inst-RAL:adr, year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, notes = "Also CERFACS Report TR/PA/94/01", } @TechReport{Dongarra:1994:AAC, author = "J. J. Dongarra and Iain S. Duff", title = "Advanced architecture computers", number = "CS-89-90", institution = "University of Tennessee", address = "Knoxville, TN, USA", year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Revision of 1987 Report AERE R12415, HMSO, London. An earlier version appeared in Federal Supercomputer Programs and Policies, US Government Printing Office, Washington DC, 710--799.", acknowledgement = ack-nhfb, } @TechReport{Drummond:1994:PDI, author = "L. A. Drummond and Iain S. Duff and D. Ruiz", title = "A parallel distributed implementation of the block conjugate gradient algorithm", number = "(to appear)", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1994:ESA, author = "Iain S. Duff and N. I. M. Gould and J. Patricio", title = "Experiments in scaling augmented systems", number = "(to appear)", institution = inst-RAL, address = inst-RAL:adr, year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1994:MFC, author = "Iain S. Duff and J. K. Reid", title = "{MA47}, a {Fortran} code for direct solution of sparse symmetric indefinite structured systems of linear equations", number = "(to appear)", institution = inst-RAL, address = inst-RAL:adr, year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1994:NAG, author = "Iain S. Duff", title = "{Numerical Analysis Group. Progress Report. January 1991--December 1993}", type = "Report", number = "RAL 94-062", institution = inst-RAL, address = inst-RAL:adr, year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1994:RFM, author = "Iain S. Duff", title = "A review of frontal methods for solving linear system", crossref = "Lewis:1994:PFS", pages = "135--139", year = "1994", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, keywords = "sparse, frontal, multifrontal", } @InProceedings{Duff:1994:SAS, author = "Iain S. Duff", title = "The solution of augmented systems", crossref = "Griffiths:1994:NAP", pages = "40--55", year = "1994", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, keywords = "sparse indefinite systems, multifrontal, constrained optimization", } @InProceedings{Duff:1994:SSE, author = "Iain S. Duff", title = "The solution of sparse equations on high performance computers", crossref = "Natori:1994:MAP", pages = "1--13", year = "1994", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1994:UMFa, author = "I. S. Duff and J. A. Scott", title = "The Use of multiple fronts in {Gaussian} elimination", type = "Report", number = "RAL-94-040", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1994", bibdate = "Tue Jan 03 08:31:52 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1994:UMFb, author = "Iain S. Duff and Jennifer A. Scott", title = "The use of multiple fronts in {Gaussian} elimination", crossref = "Lewis:1994:PFS", pages = "567--571", year = "1994", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Amestoy:1995:AMD, author = "Patrick R. Amestoy and Timothy A. Davis and Iain S. Duff", title = "An approximate minimum degree ordering algorithm", type = "Report", number = "TR/PA/95/09 and TR-94-039", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "1995", bibdate = "Tue Jan 03 08:22:25 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Amestoy:1995:LAC, author = "P. R. Amestoy and I. S. Duff and M. J. Dayd{\'e} and P. Morere", title = "Linear Algebra Calculations on a Virtual Shared Memory Computer", journal = j-INT-J-HIGH-SPEED-COMPUTING, volume = "7", number = "1", pages = "21--43", month = "????", year = "1995", CODEN = "IHSCEZ", DOI = "https://doi.org/10.1142/S0129053395000038", ISSN = "0129-0533", bibdate = "Tue Sep 3 12:52:10 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of High Speed Computing", journal-URL = "http://www.worldscientific.com/worldscinet/ijhsc", } @Article{Arioli:1995:BLT, author = "Mario Arioli and Iain S. Duff and Daniel Ruiz and Miloud Sadkane", title = "{Block L{\'a}nczos} techniques for accelerating the {Block Cimmino} method", journal = j-SIAM-J-SCI-COMP, volume = "16", number = "6", pages = "1478--1511", year = "1995", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/0916086", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F50 (65F10 65F35 65Y05)", MRnumber = "MR1355505 (96m:65051)", MRreviewer = "K. N. Sigmon", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @InProceedings{Arioli:1995:PBI, author = "M. Arioli and A. Drummond and I. S. Duff and D. Ruiz", title = "Parallel block iterative solvers for heterogeneous computing environments", crossref = "Moonen:1995:APV", pages = "97--108", year = "1995", bibdate = "Tue Sep 3 12:52:10 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Arioli:1995:PSBa, author = "Mario Arioli and A. Drummond and Iain S. Duff and Daniel Ruiz", title = "A parallel scheduler for block iterative solvers in heterogeneous computing environments", type = "Report", number = "TR/PA/94/15", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "1995", bibdate = "Tue Jan 03 08:29:42 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Arioli:1995:PSBb, author = "M. Arioli and A. Drummond and I. S. Duff and D. Ruiz", title = "A Parallel Scheduler for Block Iterative Solvers in Heterogeneous Computing Environments", crossref = "Bailey:1995:PSS", pages = "460--465", year = "1995", bibdate = "Tue Sep 3 12:52:10 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Carvalho:1995:LAK, author = "L. Carvalho and I. S. Duff and L. Giraud", title = "Linear algebra kernels for parallel domain decomposition methods", type = "Report", number = "TR/PA/95/26", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "1995", bibdate = "Tue Jan 03 08:24:32 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Davis:1995:CUM, author = "Timothy A. Davis and Iain S. Duff", title = "A combined unifrontal\slash multifrontal method for unsymmetric sparse matrices", type = "Report", number = "TR-95-020", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1995", bibdate = "Tue Jan 03 08:25:05 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Dayde:1995:PIC, author = "M. J. Dayd{\'e} and I. S. Duff", title = "Porting industrial codes and developing sparse linear solvers on parallel computers", crossref = "DAlmeida:1995:VPP", pages = "295--305", year = "1995", DOI = "https://doi.org/10.1016/0956-0521(95)00033-X", bibdate = "Tue Sep 3 12:52:10 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1995:CCS, author = "Iain S. Duff and Jennifer A. Scott", title = "Corrigendum: Computing Selected Eigenvalues of Sparse Unsymmetric Matrices Using Subspace Iteration", journal = j-TOMS, volume = "21", number = "4", pages = "490--490", month = dec, year = "1995", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/212066.215254", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Nov 14 09:57:46 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "See \cite{Duff:1993:CSE}.", acknowledgement = ack-rfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Duff:1995:EZD, author = "Iain S. Duff and John K. Reid", title = "Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems", type = "Report", number = "RAL-TR-95-040", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1995", bibdate = "Tue Jan 03 08:26:44 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1995:MFC, author = "Iain S. Duff and John K. Reid", title = "{MA47}, a {Fortran} Code for Direct Solution of Indefinite Sparse Symmetric Linear Systems", type = "Report", number = "RAL 95-001", institution = inst-RAL, address = inst-RAL:adr, pages = "63", month = jan, year = "1995", bibdate = "Mon Jan 02 10:42:54 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1995:SLB, author = "I. S. Duff and M. Marrone and G. Radicati and C. Vittoli", title = "A set of {Level 3 Basic Linear Algebra Subprograms} for sparse matrices", type = "Report", number = "RAL-TR-95-049", institution = inst-RAL, address = inst-RAL:adr, pages = "????", month = "????", year = "1995", bibdate = "Mon Jan 02 10:37:56 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Reid:1995:DMC, author = "John K. Reid Iain S. Duff", title = "The design of {MA48}, a code for the direct solution of sparse unsymmetric linear systems of equations", type = "Report", number = "RAL-TR-95-039", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1995", bibdate = "Tue Jan 03 08:27:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Amestoy:1996:AMD, author = "Patrick R. Amestoy and Timothy A. Davis and Iain S. Duff", title = "An Approximate Minimum Degree Ordering Algorithm", journal = j-SIAM-J-MAT-ANA-APPL, volume = "17", number = "4", pages = "886--905", month = oct, year = "1996", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479894278952", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F50 (65F05)", MRnumber = "MR1410707 (97g:65096)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/17/4; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/27895", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Amestoy:1996:MFM, author = "P. R. Amestoy and I. S. Duff and C. Puglisi", title = "Multifrontal {$ Q R $} Factorization in a Multiprocessor Environment", journal = j-NUM-LIN-ALG-APPL, volume = "3", number = "4", pages = "275--300", month = jul # "\slash " # aug, year = "1996", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/(SICI)1099-1506(199607/08)3:4<275::AID-NLA83>3.3.CO;2-Z", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65F30 (15A23)", MRnumber = "MR1399493", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www3.interscience.wiley.com/journalfinder.html", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15000995", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @TechReport{Amestoy:1996:MPP, author = "Patrick R. Amestoy and Iain S. Duff", title = "{MA41}: a parallel package for solving sparse unsymmetric sets of linear equations", type = "Report", number = "", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1996", bibdate = "Tue Jan 03 08:06:51 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, xxnote = "Check: 1996 or 1997?? What report number??", } @TechReport{Cardenal:1996:PMS, author = "Jes{\'u}s Cardenal and Iain S. Duff and Jos{\`e} M. Jim{\'e}nez", title = "A projection method for the solution of rectangular systems", type = "Report", number = "RAL-TR-96-013", institution = inst-RAL, address = inst-RAL:adr, pages = "????", month = "????", year = "1996", bibdate = "Mon Jan 02 10:08:46 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Cardenal:1996:SSQ, author = "Jes{\'u}s Cardenal and Iain S. Duff and Jos{\`e} M. Jim{\'e}nez", title = "Solution of sparse quasi-square rectangular systems by {Gaussian} elimination", type = "Report", number = "RAL-TR-96-013 (Revised)", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1996", bibdate = "Tue Jan 03 08:07:51 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Carvalho:1996:LAK, author = "L. Carvalho and I. S. Duff and L. Giraud", title = "Linear algebra kernels for parallel domain decomposition methods", crossref = "Papadrakakis:1996:ACM", pages = "1--17", year = "1996", bibdate = "Mon Jan 02 09:27:18 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Book{Chaitin-Chatelin:1996:LFP, author = "Fran{\c{c}}oise Chaitin-Chatelin and Val{\'e}rie Frayss{\'e}", title = "Lectures on finite precision computations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xvi + 235", year = "1996", ISBN = "0-89871-358-7", ISBN-13 = "978-0-89871-358-9", LCCN = "QA297.C417; QA297 .C417 1996", MRclass = "65G05 (65-02 65F35)", MRnumber = "MR1381897 (97b:65059)", MRreviewer = "H. Ratschek", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; library.mit.edu:9909/mit01; z3950.loc.gov:7090/Voyager", note = "With a foreword by Iain S. Duff", series = "Software, Environments, and Tools", acknowledgement = ack-nhfb, subject = "Numerical calculations; Data processing; Error analysis (Mathematics)", } @TechReport{Dayde:1996:BIL, author = "M. Dayd{\'e} and I. S. Duff", title = "A blocked implementation of {Level 3 BLAS} for {RISC} processors", type = "Report", number = "RAL-TR-96-014", institution = inst-RAL, address = inst-RAL:adr, pages = "????", month = "????", year = "1996", bibdate = "Mon Jan 02 10:13:12 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Dayde:1996:UCK, author = "Michel J. Dayd{\`e} and Iain S. Duff", title = "Use of computational kernels in full and sparse linear solvers, efficient code design on high-performance {RISC} processors", type = "Report", number = "TR-PA-96-47", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "1996", bibdate = "Tue Jan 03 08:19:28 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1996:CFS, author = "Iain S. Duff and Jennifer A. Scott", title = "A comparison of frontal software with other {Harwell Subroutine Library} sparse direct solvers", type = "Report", number = "RAL-TR-96-102", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1996", bibdate = "Tue Jan 03 08:13:32 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1996:DMC, author = "I. S. Duff and J. K. Reid", title = "The design of {MA48}: a code for the direct solution of sparse unsymmetric linear systems of equations", journal = j-TOMS, volume = "22", number = "2", pages = "187--226", month = jun, year = "1996", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/229473.229476", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 31 16:07:02 MDT 1996", bibsource = "http://www.acm.org/pubs/toc/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/229476.html", abstract = "We describe the design of a new code for the direct solution of sparse unsymmetric linear systems of equations. The new code utilizes a novel restructuring of the symbolic and numerical phases, which increases speed and saves storage without sacrifice of numerical stability. Other features include switching to full-matrix processing in all phases of the computation enabling the use of all three levels of BLAS, treatment of rectangular or rank-deficient matrices, partial factorization, and integrated facilities for iterative refinement and error estimation.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms; performance", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems.", } @Article{Duff:1996:DNF, author = "I. S. Duff and J. A. Scott", title = "The design of a new frontal code for solving sparse, unsymmetric systems", journal = j-TOMS, volume = "22", number = "1", pages = "30--45", month = mar, year = "1996", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/225545.225550", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65F50)", MRnumber = "MR1383184", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.acm.org/pubs/toc/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/225550.html", abstract = "We describe the design, implementation, and performance of a frontal code for the solution of large, sparse, unsymmetric systems of linear equations. The resulting software package, MA42, is included in Release 11 of the Harwell Subroutine Library and is intended to supersede the earlier MA32 package. We discuss in detail the extensive use of higher-level BLAS kernels within MA42 and illustrate the performance on a range of practical problems on a CRAY Y-MP, an IBM 3090, and an IBM RISC System/6000. We examine extending the frontal solution scheme to use multiple fronts to allow MA42 to be run in parallel. We indicate some directions for future development.", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Duff:1996:EZD, author = "I. S. Duff and J. K. Reid", title = "Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems", journal = j-TOMS, volume = "22", number = "2", pages = "227--257", month = jun, year = "1996", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/229473.229480", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50", MRnumber = "MR1408491 (97c:65085)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.acm.org/pubs/toc/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/229480.html", abstract = "We describe the design of a new code for the solution of sparse indefinite symmetric linear systems of equations. The principal difference between this new code and earlier work lies in the exploitation of the additional sparsity available when the matrix has a significant number of zero diagonal entries. Other new features have been included to enhance the execution speed, particularly on vector and parallel machines.", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms; performance", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems.", } @Article{Duff:1996:FSS, author = "I. S. Duff and J. A. Scott", title = "Frontal Software for the Solution of Sparse Linear Equations", journal = j-LECT-NOTES-COMP-SCI, volume = "1184", pages = "227--238", year = "1996", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Fri Aug 22 11:59:49 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @TechReport{Duff:1996:NAG, author = "I. S. Duff", title = "{Numerical Analysis Group. Progress Report. January 1994--December 1995}", type = "Report", number = "RAL-TR-96-015", institution = inst-RAL, address = inst-RAL:adr, pages = "????", month = "????", year = "1996", bibdate = "Mon Jan 02 10:28:35 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1996:RFM, author = "Iain S. Duff", title = "A review of frontal methods for solving linear systems", journal = j-COMP-PHYS-COMM, volume = "97", number = "1--2", pages = "45--52", month = "????", year = "1996", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(96)00020-3", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "65F50", MRnumber = "MR1408292 (97g:65100)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @TechReport{Duff:1996:SNL, author = "Iain S. Duff", title = "Sparse numerical linear algebra: Direct methods and preconditioning", type = "Report", number = "RAL 96-047", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1996", bibdate = "Tue Jan 03 08:20:49 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1996:U, author = "I. S. Duff and Ga Watson", title = "Untitled", journal = j-IMA-J-NUMER-ANAL, volume = "16", number = "1", pages = "U1--U1", month = "????", year = "1996", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", bibdate = "Tue Jun 4 09:26:54 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @InProceedings{Amestoy:1997:EPO, author = "P. R. Amestoy and M. Dayd{\'e} and I. S. Duff", editor = "????", booktitle = "Proceedings of ISYPAR 97", title = "Evaluation de performance et optimisation de code dans le domaine du calcul num{\'e}rique intensif. ({French}) {Performance} evaluation and optimization of code in numerically-intensive computing", publisher = inst-IRIT, address = inst-IRIT:adr, pages = "6", year = "1997", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Mon Jan 02 08:53:21 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, language = "French", } @TechReport{Cliffe:1997:PIF, author = "K. Andrew Cliffe and Iain S. Duff and Jennifer A. Scott", title = "Performance issues for frontal schemes on a cache based high performance computer", type = "Report", number = "RAL-TR-97-001", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1997", bibdate = "Tue Jan 03 08:09:00 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Colbrook:1997:EES, author = "Adrian Colbrook and Iain Duff and Tony Hey and Klaus St{\"u}ben and Clemens-August Thole", title = "Editorial: {EUROPORT} Special Issue", journal = j-IJSAHPC, volume = "11", number = "4", pages = "275--276", month = "Winter", year = "1997", CODEN = "IJSCFG", DOI = "https://doi.org/10.1177/109434209701100401", ISSN = "1078-3482", bibdate = "Fri Aug 6 06:45:09 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Reports on the EUROPORT Project to port 38 industrially relevant codes to parallel computers.", acknowledgement = ack-nhfb, fjournal = "International Journal of Supercomputer Applications and High Performance Computing", journal-URL = "http://hpc.sagepub.com/content/by/year", } @Article{Colbrook:1997:ESI, author = "A. Colbrook and I. Duff and T. Hey and K. St{\"u}ben and C-A. Thole", title = "{EUROPORT} Special Issue", journal = j-IJSA, volume = "11", number = "4", pages = "??--??", month = "????", year = "1997", CODEN = "IJSAE9", ISSN = "0890-2720", bibdate = "Mon Jan 02 09:51:38 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Supercomputer Applications", journal-URL = "http://hpc.sagepub.com/content/by/year", } @TechReport{Davis:1997:CUM, author = "Timothy A. Davis and Iain S. Duff", title = "A combined unifrontal\slash multifrontal method for unsymmetric sparse matrices", type = "Report", number = "RAL-TR-97-046 and TR/PA/97/34", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "19", month = sep, year = "1997", bibdate = "Tue Jan 03 08:10:44 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Davis:1997:UPM, author = "Timothy A. Davis and Iain S. Duff", title = "An Unsymmetric-Pattern Multifrontal Method for Sparse {$ L U $} Factorization", journal = j-SIAM-J-MAT-ANA-APPL, volume = "18", number = "1", pages = "140--158", month = jan, year = "1997", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479894246905", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F50 (65Y15)", MRnumber = "MR1428205 (97i:65078)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/18/1; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/24690", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra); C6110P (Parallel programming)", corpsource = "Dept. of Comput. and Inf. Sci., Florida Univ., Gainesville, FL, USA", fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", keywords = "dense matrix kernels; irregular memory access; matrix algebra; matrix factorization; multifrontal method; parallel algorithms; sparse LU factorization; sparse matrices; symmetric problems", treatment = "T Theoretical or Mathematical", } @TechReport{Dayde:1997:BIL, author = "Michel J. Dayd{\`e} and Iain S. Duff", title = "A blocked implementation of {Level 3 BLAS} for {RISC} Processors (revised version)", type = "Report", number = "RT/APO/97/2", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1997", bibdate = "Tue Jan 03 08:12:20 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Dayde:1997:UCK, author = "M. J. Dayd{\'e} and I. S. Duff", title = "The Use of Computational Kernels in Full and Sparse Linear Solvers, Efficient Code Design on High-Performance {RISC} Processors", journal = j-LECT-NOTES-COMP-SCI, volume = "1215", pages = "108--139", year = "1997", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Fri Aug 22 11:59:49 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @TechReport{Duff:1997:CFS, author = "Iain S. Duff and Jennifer A. Scott", title = "A comparison of frontal software with other sparse direct solvers", type = "Report", number = "RAL-TR-96-102", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1997", bibdate = "Tue Jan 03 08:14:28 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1997:DML, author = "I. S. Duff and N. I. M. Gould and C. C. Douglas and L. Giraud", title = "Direct Methods Linear Algebra in Optimization Iterative Methods --- Proceedings from the {International Linear Algebra Year Workshops --- CERFACS, Toulouse, France --- September, 1995--June, 1996} --- Preface", journal = j-BIT-NUM-MATH, volume = "37", number = "3", pages = "R1--R2", month = sep, year = "1997", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF02510236", ISSN = "0006-3835 (print), 1572-9125 (electronic)", bibdate = "Mon Jan 02 09:53:18 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Proceedings from the International Linear Algebra Year Workshops. September 1995--June 1996", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", } @Book{Duff:1997:DMS, author = "Iain S. Duff and A. M. (Albert Maurice) Erisman and John Ker Reid", title = "Direct methods for sparse matrices", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xiv + 314", year = "1997", ISBN = "0-19-853421-3 (paperback)", ISBN-13 = "978-0-19-853421-1 (paperback)", LCCN = "M89.E02155; QA188", bibdate = "Sat Dec 31 14:06:36 MST 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; library.ox.ac.uk:210/ADVANCE", note = "Reprint of \cite{Duff:1989:DMS} with corrections", series = "Numerical mathematics and scientific computation", acknowledgement = ack-nhfb, subject = "Sparse matrices; Data processing", } @TechReport{Duff:1997:DUA, author = "Iain S. Duff and Jacko Koster", title = "The design and use of algorithms for permuting large entries to the diagonal of sparse matrices", type = "Report", number = "RAL-TR-97-059", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1997", bibdate = "Tue Jan 03 08:16:37 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:1997:LBL, author = "Iain S. Duff and Michele Marrone and Giuseppe Radicati and Carlo Vittoli", title = "{Level 3 Basic Linear Algebra Subprograms} for Sparse Matrices: a User Level Interface", journal = j-TOMS, volume = "23", number = "3", pages = "379--401", month = sep, year = "1997", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/275323.275327", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65Y15", MRnumber = "MR1672168", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p379-duff/", abstract = "This article proposes a set of Level 3 Basic Linear Algebra Subprograms and associated kernels for sparse matrices. A major goal is to design and develop a common framework to enable efficient, and portable, implementations of iterative algorithms for sparse matrices on high-performance computers. We have designed the routines to shield the developer of mathematical software from most of the complexities of the various data structures used for sparse matrices. We have kept the interface and suite of codes as simple as possible while at the same time including sufficient functionality to cover most sparse matrix data structures. An important aspect of our framework is that it can be easily extended to incorporate new kernels if the need arises. We discuss the design, implementation, and use of subprograms for the multiplication of a full matrix by a sparse one and for the solution of sparse triangular systems with one or more (full) right-hand sides. We include a routine for checking the input data, generating a new sparse data structure from that input, and scaling a sparse matrix. The new data structure for the transformation can be specified by the user or can be chosen automatically by vendors to be efficient on their machines. We also include a routine for permuting the columns of a sparse matrix and one for permuting the rows of a full matrix.", accepted = "March 1997", acknowledgement = ack-rfb # " and " # ack-kr # " and " # ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms, performance, reliability, high-performance computing, iterative solution, programming standards, sparse BLAS, sparse data structures, sparse matrices", subject = "{\bf D.2.2}: Software, SOFTWARE ENGINEERING, Tools and Techniques, user interfaces. {\bf D.2.2}: Software, SOFTWARE ENGINEERING, Coding, standards. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, certification and testing, efficiency, portability, reliability and robustness, verification.", } @TechReport{Duff:1997:MFC, author = "Iain S. Duff and Jennifer A. Scott", title = "{MA62} --- {A} frontal code for sparse positive-definite symmetric systems from finite-element applications", type = "Report", number = "RAL-TR-97-012", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1997", bibdate = "Tue Jan 03 08:15:36 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1997:RBS, author = "Iain S. Duff and Roger G. Grimes and John G. Lewis", title = "The {Rutherford--Boeing Sparse Matrix Collection}", type = "Report", number = "RAL-TR-97-031 and TR/PA/97/36", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "59", month = aug, year = "1997", bibdate = "Mon Jan 02 10:35:26 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1997:SNL, author = "I. S. Duff", title = "Sparse Numerical Linear Algebra: Direct Methods and Preconditioning", crossref = "Duff:1997:SAN", pages = "27--62", year = "1997", MRclass = "65F50 (15A12)", MRnumber = "MR1628341", bibdate = "Thu Sep 16 09:48:36 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Koster:1997:U, author = "Iain S. Duff and Jacko Koster", title = "Untitled", type = "Report", number = "TR/PA/97/45", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1997", bibdate = "Tue Jan 03 08:13:02 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Amestoy:1998:MMM, author = "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent", title = "{MUMPS}: {MUltifrontal Massively Parallel Solver}, Version 2.0", type = "Report", number = "TR/PA/98/02", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "1998", bibdate = "Mon Jan 02 10:04:56 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Amestoy:1998:MPD, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent", title = "Multifrontal parallel distributed symmetric and unsymmetric solvers", type = "Report", number = "RAL-TR-1998-051", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1998", bibdate = "Tue Jan 03 07:54:53 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/154/raltr-1998051.pdf", acknowledgement = ack-nhfb, } @Article{Amestoy:1998:MSW, author = "P. Amestoy and I. Duff and J.-Y. L'Excellent", title = "Multifrontal Solvers Within the {PARASOL} Environment", journal = j-LECT-NOTES-COMP-SCI, volume = "1541", pages = "7--11", year = "1998", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Wed Sep 15 10:01:31 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", keywords = "applied parallel computing; computing science; PARA; parallel computing", } @Article{Amestoy:1998:PFL, author = "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent", title = "Parall{\`e}lisation de la factorisation {LU} de matrices creuses non sym{\`e}triques pour des architectures {\`a} m{\'e}moire distribu{\'e}e. ({French}) [{Parallelization} of the {LU} factorization of nonsymmetric sparse matrices for distributed-memory architectures]", journal = "Calculateurs Parall{\`e}les R{\'e}seaux et syst{\`e}mes r{\'e}partis", volume = "10", number = "5", pages = "509--520", month = "????", year = "1998", bibdate = "Mon Jan 02 08:56:14 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, language = "French", } @TechReport{Amestoy:1998:PIP, author = "P. R. Amestoy and I. S. Duff and J-Y L'Excellent and P. Plech{\'a}{\v{c}}", title = "{PARASOL} --- An Integrated Programming Environment for Parallel Sparse Matrix Solvers", type = "Report", number = "RAL-TR-1998-039", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1998", bibdate = "Tue Jan 03 07:56:08 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/146/raltr-1998039.pdf", acknowledgement = ack-nhfb, } @Article{Cardenal:1998:SSQ, author = "Jes{\'u}s Cardenal and Iain S. Duff and Jos{\'e} M. Jim{\'e}nez", title = "Solution of sparse quasi-square rectangular systems by {Gaussian} elimination", journal = j-IMA-J-NUMER-ANAL, volume = "18", number = "2", pages = "165--177", year = "1998", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/18.2.165", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65F50 (65F05)", MRnumber = "MR1617348 (98m:65077)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/; MathSciNet database", URL = "http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180165.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180165.pdf", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Cliffe:1998:PIF, author = "K. A. Cliffe and I. S. Duff and J. A. Scott", title = "Performance issues for frontal schemes on a cache-based high-performance computer", journal = j-INT-J-NUMER-METHODS-ENG, volume = "42", number = "1", pages = "127--143", year = "1998", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/(SICI)1097-0207(19980515)42:1<127::AID-NME357>3.0.CO;2-K", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "65-04 (65F99)", MRnumber = "MR1618018", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", } @Book{Dongarra:1998:NLA, author = "Jack J. Dongarra and Iain S. Duff and Danny C. Sorensen and Henk A. {van der Vorst}", title = "Numerical Linear Algebra for High-Performance Computers", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xviii + 342", year = "1998", ISBN = "0-89871-428-1", ISBN-13 = "978-0-89871-428-9", LCCN = "????", MRclass = "65-02 (65Fxx 65G50); 65-02 (65Fxx 65G05)", MRnumber = "MR1654239 (2000a:65002)", MRreviewer = "Zahari Zlatev", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; MathSciNet database", series = "Software, Environments, and Tools", acknowledgement = ack-nhfb, } @InCollection{Duff:1998:CFS, author = "Iain S. Duff and Jennifer A. Scott", title = "A comparison of frontal software with other {Harwell Subroutine Library} sparse direct solvers", crossref = "Arbenz:1998:HPA", pages = "1--25", year = "1998", bibdate = "Mon Jan 02 09:44:16 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1998:DM, author = "I. S. Duff", title = "Direct methods", type = "Report", number = "RAL-TR-1998-054 and TR/PA/98/28", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", month = "????", year = "1998", bibdate = "Mon Jan 02 10:32:04 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/156/raltr-1998054.pdf", acknowledgement = ack-nhfb, } @TechReport{Duff:1998:LLB, author = "I. S. Duff and C. V{\"o}mel", title = "{Level 2} and {Level 3 Basic Linear Algebra Subprograms} for sparse matrices: a {Fortran 95} instantiation", type = "Report", number = "TR/PA/00/18", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", month = "????", year = "1998", bibdate = "Mon Jan 02 10:47:50 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1998:NAG, author = "I. S. Duff", title = "{Numerical Analysis Group. Progress Report. January 1996--December 1997}", type = "Report", number = "RAL-TR-1998-028", institution = inst-RAL, address = inst-RAL:adr, pages = "????", month = "????", year = "1998", bibdate = "Mon Jan 02 10:28:35 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/138/raltr-1998028.pdf", acknowledgement = ack-nhfb, } @TechReport{Duff:1998:PPP, author = "Iain S. Duff and Henk A. {van der Vorst}", title = "Preconditioning and parallel preconditioning", type = "Report", number = "RAL-TR-1998-052 and TR/PA/98/23", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", month = "????", year = "1998", bibdate = "Mon Jan 02 10:45:21 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/155/raltr-1998052.pdf", acknowledgement = ack-nhfb, } @TechReport{Amestoy:1999:FAM, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent and Jacko Koster", title = "A fully asynchronous multifrontal solver using distributed dynamic scheduling", type = "Report", number = "RAL-TR-1999-059 and TR/PA/99/28 and RT/APO/99/02", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", year = "1999", bibdate = "Tue Jan 03 07:45:11 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/219/raltr-1999059.pdf", acknowledgement = ack-nhfb, } @InProceedings{Amestoy:1999:PIP, author = "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent and P. Plech{\'a}{\v{c}}", title = "{PARASOL}. {An} Integrated Programming Environment for Parallel Sparse Matrix Solvers", crossref = "Allan:1999:HPC", pages = "79--90", year = "1999", bibdate = "Mon Jan 02 09:17:58 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Bai:1999:CIO, author = "Zhong-Zhi Bai and Iain S. Duff and Andrew J. Wathen", title = "A Class of Incomplete Orthogonal Factorization Methods {I}: Methods and Theories", type = "Report", number = "RAL-TR-1999-045", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1999", bibdate = "Tue Jan 03 07:47:30 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Davis:1999:CUM, author = "Timothy A. Davis and Iain S. Duff", title = "A combined unifrontal\slash multifrontal method for unsymmetric sparse matrices", journal = j-TOMS, volume = "25", number = "1", pages = "1--20", month = mar, year = "1999", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/305658.287640", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50", MRnumber = "MR1697461", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.acm.org/pubs/contents/journals/toms/1999-25/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p1-davis/", abstract = "We discuss the organization of frontal matrices in multifrontal methods for the solution of large sparse sets of unsymmetric linear equations. In the multifrontal method, work on a frontal matrix can be suspended, the frontal matrix can be stored for later reuse, and a new frontal matrix can be generated. There are thus several frontal matrices stored during the factorization, and one or more of these are assembled (summed) when creating a new frontal matrix. Although this means that arbitrary sparsity patterns can be handled efficiently, extra work is required to sum the frontal matrices together and can be costly because indirect addressing is required. The (uni)frontal method avoids this extra work by factorizing the matrix with a single frontal matrix. Rows and columns are added to the frontal matrix, and pivot rows and columns are removed. Data movement is simpler, but higher fill-in can result if the matrix cannot be permuted into a variable-band form with small profile. We consider a combined unifrontal/multifrontal algorithm to enable general fill-in reduction orderings to be applied without the data movement of previous multifrontal approaches. We discuss this technique in the context of a code designed for the solution of sparse systems with unsymmetric pattern.", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms; experimentation; performance", subject = "{\bf G.1.3} Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.1.3} Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse, structured, and very large systems (direct and iterative methods). {\bf G.4} Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm design and analysis.", } @Article{Dayde:1999:RBB, author = "Michel J. Dayd{\'e} and Iain S. Duff", title = "The {RISC BLAS}: {A} Blocked Implementation of {Level 3 BLAS} for {RISC} Processors", journal = j-TOMS, volume = "25", number = "3", pages = "316--340", month = sep, year = "1999", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/326147.326150", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Apr 4 16:36:33 MDT 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://www.acm.org/pubs/articles/journals/toms/1999-25-3/p316-dayde/p316-dayde.pdf; http://www.acm.org/pubs/citations/journals/toms/1999-25-3/p316-dayde/; http://www.acm.org/pubs/citations/journals/toms/1999-25-3/p316-dayde/#abstract; http://www.acm.org/pubs/citations/journals/toms/1999-25-3/p316-dayde/#indterms", abstract = "We describe a version of the Level 3 BLAS which is designed to be efficient on RISC processors. This is an extension of previous studies by the authors and colleagues on a similar approach for efficient serial and parallel implementations on virtual-memory and shared-memory multiprocessors. All our codes are written in Fortran and use loop-unrolling, blocking, and copying to improve the performance. A blocking technique is used to express the BLAS in terms of operations involving triangular blocks and calls to the matrix-matrix multiplication kernel (GEMM). No manufacturer-supplied or assembler code is used. This blocked implementation uses the same blocking ideas as in our implementation for vector machines except that the ordering of loops is designed for efficient reuse of date held in cache and not necessarily for parallelization. All the codes are specifically tuned for RISC processors. The software also includes a tuned version of GEMM. A parameter which controls the blocking allows efficient exploitation of the memory hierarchy on the various target computers. We present results on a range of RISC-based workstations and multiprocessors: CRAY T3D, DEC 8400 5/300, HP 715/64, IBM SP2, MEIKO CS2-HA, SGI Power Challenge 10000, and SUN UltraSPARC-1 model 140. This implementation of the Level 3 BLAS is available on anonymous FTP, and we welcome input from users to improve and extend our BLAS implementation.", accepted = "April 1999", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "blocking; level 3 BLAS; loop-unrolling; matrix-matrix kernels; RISC processors", subject = "Mathematics of Computing --- Mathematical Software (G.4); Theory of Computation --- Analysis of Algorithms and Problem Complexity --- Numerical Algorithms and Problems (F.2.1): Computations on matrices; Mathematics of Computing --- Numerical Analysis --- General (G.1.0): Numerical algorithms; Mathematics of Computing --- Numerical Analysis --- Numerical Linear Algebra (G.1.3): Linear systems (direct and iterative methods); General Terms: Algorithms, Measurement, Performance", } @TechReport{Duff:1999:APL, author = "Iain S. Duff and Jacko Koster", title = "On algorithms for permuting large entries to the diagonal of a sparse matrix", type = "Report", number = "RAL-TR-1999-030", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1999", bibdate = "Tue Jan 03 07:52:26 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/202/raltr-1999030.pdf", acknowledgement = ack-nhfb, } @TechReport{Duff:1999:BBRa, author = "Iain S. Duff", title = "A brief bibliography of recent research and software for the parallel solution of large sparse linear equations", type = "Report", number = "TR/PA/99/12", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "1999", bibdate = "Tue Jan 03 07:49:38 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1999:BBRb, author = "I. S. Duff", title = "A brief bibliography of recent research and software for the parallel solution of large sparse linear equations", crossref = "Anonymous:1999:PCC", pages = "43--46", year = "1999", bibdate = "Mon Jan 02 09:37:05 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:1999:DTPa, author = "I. S. Duff and H. A. van der Vorst", title = "Development and Trends in the Parallel Solution of Linear Systems", type = "Report", number = "RAL-TR-1999-027", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "1999", bibdate = "Tue Jan 03 07:50:42 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/199/raltr-1999027.pdf", acknowledgement = ack-nhfb, } @Article{Duff:1999:DTPb, author = "Iain S. Duff and Henk A. {van der Vorst}", title = "Developments and trends in the parallel solution of linear systems", journal = j-PARALLEL-COMPUTING, volume = "25", number = "13--14", pages = "1931--1970", month = dec, year = "1999", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/S0167-8191(99)00077-0", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "65F10 (65F35 65Y05)", MRnumber = "MR1727355 (2000h:65050)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.elsevier.com/locate/issn/01678191; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; MathSciNet database", URL = "http://www.elsevier.nl/gej-ng/10/35/21/32/36/39/abstract.html; http://www.elsevier.nl/gej-ng/10/35/21/32/36/39/article.pdf", acknowledgement = ack-nhfb, fjournal = "Parallel Computing. Theory and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", } @Article{Duff:1999:DUA, author = "Iain S. Duff and Jacko Koster", title = "The Design and Use of Algorithms for Permuting Large Entries to the Diagonal of Sparse Matrices", journal = j-SIAM-J-MAT-ANA-APPL, volume = "20", number = "4", pages = "889--901 (electronic)", month = oct, year = "1999", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479897317661", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F05 (65F50)", MRnumber = "MR1699785 (2000f:65021)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/20/4; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Sparse and structured matrices and their applications (Coeur d'Alene, ID, 1996)", URL = "http://epubs.siam.org/sam-bin/dbq/article/31766", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Duff:1999:FCS, author = "Iain S. Duff and Jennifer A. Scott", title = "A frontal code for the solution of sparse positive-definite symmetric systems arising from finite-element applications", journal = j-TOMS, volume = "25", number = "4", pages = "404--424", year = "1999", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/332242.332243", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65N30)", MRnumber = "MR1753211", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Duff:1999:IHP, author = "Iain S. Duff", title = "The Impact of High Performance Computing in the Solution of Linear Systems: Trends and Problems", type = "Report", number = "RAL TR-1999-072 and TR/PA/99/41", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", year = "1999", bibdate = "Tue Jan 03 07:53:23 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/220/raltr-1999072.pdf", acknowledgement = ack-nhfb, } @InCollection{Duff:1999:MFC, author = "I. S. Duff and J. A. Scott", title = "{MA62} --- {A} frontal code for sparse positive-definite symmetric systems from finite-element applications", crossref = "Papadrakakis:1999:ICM", pages = "1--25", year = "1999", bibdate = "Mon Jan 02 09:42:40 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1999:MM, author = "I. S. Duff", title = "Matrix methods", crossref = "Bell:1999:SCP", pages = "119--136", year = "1999", bibdate = "Mon Jan 02 09:35:50 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:19xx:SLB, author = "Iain S. Duff and Michele Marrone and Guiseppe Radicati and Carlo Vittoli", title = "A set of {Level 3 Basic Linear Algebra} {Subprograms} for sparse matrices", type = "????", number = "????", institution = inst-RAL, address = inst-RAL:adr, year = "19xx", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "To appear.", acknowledgement = ack-nhfb, } @TechReport{Amestoy:2000:ATC, author = "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent and X. Li", title = "Analysis, tuning and comparison of two general sparse solvers for distributed memory computers", type = "Report", number = "LBNL-45992 and TR/PA/00/72", institution = "NERSC, Lawrence Berkeley National Laboratory and " # inst-CERFACS, address = "Berkeley, CA, USA and " # inst-CERFACS:adr, pages = "????", month = "????", year = "2000", bibdate = "Mon Jan 02 10:06:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Amestoy:2001:MGP, author = "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent and J. Koster", title = "{MUMPS}: a general purpose distributed memory sparse solver", crossref = "Sorevik:2001:APC", pages = "122--131", year = "2001", bibdate = "Mon Jan 02 09:02:46 2006", bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t1947.htm; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://link.springer-ny.com/link/service/series/0558/bibs/1947/19470121.htm; http://link.springer-ny.com/link/service/series/0558/papers/1947/19470121.pdf", acknowledgement = ack-nhfb, } @Article{Amestoy:2000:MPD, author = "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent", title = "Multifrontal parallel distributed symmetric and unsymmetric solvers", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "184", number = "2--4", pages = "501--520", day = "14", month = apr, year = "2000", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/S0045-7825(99)00242-X", ISSN = "0045-7825, 0374-2830", ISSN-L = "0045-7825", bibdate = "Mon Jan 02 09:01:42 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", journal-URL = "http://www.sciencedirect.com/science/journal/00457825", } @TechReport{Carpentieri:2000:ESP, author = "B. Carpentieri and I. S. Duff and L. Giraud", title = "Experiments with sparse preconditioning of dense problems from electromagnetic applications", type = "Report", number = "TR/PA/00/05", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", month = "????", year = "2000", bibdate = "Mon Jan 02 10:10:09 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Carpentieri:2000:RPD, author = "B. Carpentieri and I. S. Duff and L. Giraud", title = "Robust preconditioning of dense problems from electromagnetics", crossref = "Vulkov:2001:NAA", pages = "170--178", year = "2000", bibdate = "Mon Jan 02 09:23:19 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Carpentieri:2000:SPS, author = "B. Carpentieri and I. S. Duff and L. Giraud", title = "Sparse pattern selection strategies for robust {Frobenius}-norm minimization preconditioners in electromagnetism", journal = j-NUM-LIN-ALG-APPL, volume = "7", number = "7--8", pages = "667--685", year = "2000", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/1099-1506(200010/12)7:7/8<667::AID-NLA218>3.0.CO;2-X", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "78M25 (78A45)", MRnumber = "MR1802365", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Preconditioning techniques for large sparse matrix problems in industrial applications (Minneapolis, MN, 1999)", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @TechReport{Carpentieri:2000:SSP, author = "B. Carpentieri and I. S. Duff and L. Giraud", title = "Some sparse pattern selection strategies for robust {Frobenius} norm minimization preconditioners in electromagnetism", type = "Report", number = "RAL-TR-2000-009", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2000", bibdate = "Tue Jan 03 07:39:11 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/228/raltr-2000009.pdf", acknowledgement = ack-nhfb, } @InProceedings{Dongarra:2000:TMH, author = "Jack Dongarra and Iain Duff and Danny Sorensen", title = "Tutorial {M7}: High-Speed Numerical Linear Algebra: Algorithms and Research Directions", crossref = "ACM:2000:SHP", pages = "21--22", year = "2000", bibdate = "Sat Feb 10 14:28:55 2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:2000:IHP, author = "Iain S. Duff", title = "The impact of high-performance computing in the solution of linear systems: trends and problems", journal = j-J-COMPUT-APPL-MATH, volume = "123", number = "1--2", pages = "515--530", day = "1", month = nov, year = "2000", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/S0377-0427(00)00401-5", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65F10 (65-04 65Y20)", MRnumber = "MR1798540 (2001j:65050)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Numerical analysis 2000, Vol.\ III. Linear algebra", URL = "http://www.sciencedirect.com/science/article/pii/S0377042700004015", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @TechReport{Duff:2000:INE, author = "Iain S. Duff and Christof V{\"o}mel", title = "Incremental norm estimation for dense and sparse matrices", type = "Report", number = "TR/PA/00/83", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "2000", bibdate = "Tue Jan 03 07:40:29 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:2000:ISB, author = "I. S. Duff and C. V{\"o}mel and M. Youan", title = "Implementing the {Sparse BLAS} in {Fortran 95}", type = "Report", number = "TR/PA/00/82", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", month = "????", year = "2000", bibdate = "Mon Jan 02 10:49:01 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:2000:NAG, author = "I. S. Duff", title = "{Numerical Analysis Group. Progress Report. January 1998--December 1999}", type = "Report", number = "RAL-TR-2000-001", institution = inst-RAL, address = inst-RAL:adr, pages = "????", month = "????", year = "2000", bibdate = "Mon Jan 02 10:28:35 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Amestoy:2001:ACTa, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent and Xiaoye S. Li", title = "Analysis and comparison of two general sparse solvers for distributed memory computers", type = "Report", number = "RAL-TR-2001-003 and TR/PA/00/90", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", year = "2001", bibdate = "Tue Jan 03 07:24:11 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/259/raltr-2001003.pdf", acknowledgement = ack-nhfb, } @Article{Amestoy:2001:ACTb, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent and Xiaoye S. Li", title = "Analysis and comparison of two general sparse solvers for distributed memory computers", journal = j-TOMS, volume = "27", number = "4", pages = "388--421", month = dec, year = "2001", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/504210.504212", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65F05 65Y05 68W40)", MRnumber = "MR1920667", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "This paper provides a comprehensive study and comparison of two state-of-the-art direct solvers for large sparse sets of linear equations on large-scale distributed-memory computers. One is a multifrontal solver called MUMPS, the other is a supernodal solver called superLU. We describe the main algorithmic features of the two solvers and compare their performance characteristics with respect to uniprocessor speed, interprocessor communication, and memory requirements. For both solvers, preorderings for numerical stability and sparsity play an important role in achieving high parallel efficiency. We analyse the results with various ordering algorithms. Our performance analysis is based on data obtained from runs on a 512-processor Cray T3E using a set of matrices from real applications. We also use regular 3D grid problems to study the scalability of the two solvers.", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Amestoy:2001:CST, author = "P. R. Amestoy and I. S. Duff and J-Y L'Excellent and X. Li", title = "A comparative study of two approaches for the solution of large sparse equations on distributed memory architectures", type = "Report", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2001", bibdate = "Tue Jan 03 07:34:46 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, xxnote = "Check year: 2000 or 2001? What report number??", } @Article{Amestoy:2001:FAM, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent and Jacko Koster", title = "A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling", journal = j-SIAM-J-MAT-ANA-APPL, volume = "23", number = "1", pages = "15--41 (electronic)", month = jan, year = "2001", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479899358194", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F05 (65F50 65Y05 68W15)", MRnumber = "MR1856597 (2003d:65019)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/23/1; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/35819", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @TechReport{Amestoy:2001:PTTa, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent and Xiaoye S. Li", title = "Performance and tuning of two distributed memory sparse solvers", type = "Report", number = "RAL-TR-2001-004 and TR/PA/00/91", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", year = "2001", bibdate = "Tue Jan 03 07:27:22 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/260/raltr-2001004.pdf", acknowledgement = ack-nhfb, } @InProceedings{Amestoy:2001:PTTb, author = "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent and X. Li", title = "Performance and tuning of two distributed memory sparse solvers", crossref = "Anonymous:2001:PTS", pages = "??--??", year = "2001", bibdate = "Mon Jan 02 09:05:37 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Bai:2001:CIO, author = "Zhong-Zhi Bai and Iain S. Duff and Andrew J. Wathen", title = "A class of incomplete orthogonal factorization methods. {I}. {Methods} and theories", journal = j-BIT-NUM-MATH, volume = "41", number = "1", pages = "53--70", year = "2001", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1023/A:1021913700691", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65F05 (65F50 65H10)", MRnumber = "MR1829661 (2002b:65040)", MRreviewer = "Jin Xi Zhao", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.mai.liu.se/BIT/contents/bit41.html; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", } @Misc{Blackford:2001:USB, author = "L. S. Blackford and J. Demmel and J. Dongarra and I. Duff and S. Hammarling and G. Henry and M. Heroux and L. Kaufman and A. Lumsdaine and A. Petitet and R. Pozo and K. Remington and R. C. Whaley", title = "An Updated Set of {Basic Linear Algebra Subprograms} ({BLAS})", pages = "20", month = feb, year = "2001", bibdate = "Mon Jan 02 17:53:34 2006", note = "Submitted to " # j-TOMS, bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Carpentieri:2001:RPD, author = "B. Carpentieri and I. S. Duff and L. Giraud", editor = "L. Vulkov and J. Wasniewski and P. Yalamov", booktitle = "Numerical Analysis and its Applications", title = "Robust preconditioning of dense problems from electromagnetics", volume = "1988", publisher = pub-SV, address = pub-SV:adr, pages = "170--178", year = "2001", ISBN = "3-540-41814-8", ISBN-13 = "978-3-540-41814-6", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "????", bibdate = "Tue Jun 4 09:26:54 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, classification = "Univ Rousse, Ruse, Bulgaria", conference-date = "JUN 11-15, 2000", conference-name = "2nd International Conference on Numerical Analysis and its Applications", } @TechReport{Carpentieri:2001:SSP, author = "B. Carpentieri and I. S. Duff and L. Giraud and M. Magolu monga Made", title = "Sparse symmetric preconditioners for dense linear systems in electromagnetism", type = "Report", number = "TR/PA/01/35", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "2001", bibdate = "Tue Jan 03 07:29:30 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:2001:APL, author = "I. S. Duff and J. Koster", title = "On algorithms for permuting large entries to the diagonal of a sparse matrix", journal = j-SIAM-J-MAT-ANA-APPL, volume = "22", number = "4", pages = "973--996 (electronic)", year = "2001", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479899358443", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F10 (65F05 65F50)", MRnumber = "MR1824052 (2001m:65043)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @TechReport{Duff:2001:INE, author = "Iain S. Duff and Christof V{\"o}mel", title = "Incremental norm estimation for dense and sparse matrices", type = "Report", number = "RAL-TR-2001-005", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2001", bibdate = "Tue Jan 03 07:30:16 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/261/raltr-2001005.pdf", acknowledgement = ack-nhfb, } @TechReport{Duff:2001:ISB, author = "I. S. Duff and C. V{\"o}mel", title = "The implementation of the {Sparse BLAS} in {Fortran 95}", type = "Report", number = "TR/PA/01/27", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", month = "????", year = "2001", bibdate = "Mon Jan 02 10:49:58 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Duff:2001:SB, author = "Iain S. Duff and Michael A. Heroux and Roldan Pozo", title = "The {Sparse BLAS}", type = "Report", number = "RAL-TR-2001-032 and TR/PA/01/24", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", year = "2001", bibdate = "Tue Jan 03 07:31:35 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/270/raltr-2001032.pdf", acknowledgement = ack-nhfb, } @Article{vanderVorst:2001:TNA, author = "Henk A. van der Vorst and Rob Bisseling and Iain S. Duff and Bernard J. Philippe", title = "Topic 11 Numerical Algorithms", journal = j-LECT-NOTES-COMP-SCI, volume = "2150", pages = "566--567", year = "2001", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Sat Feb 2 13:05:53 MST 2002", bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2150.htm; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/tex/bib/lncs2001c.bib", URL = "http://link.springer-ny.com/link/service/series/0558/bibs/2150/21500566.htm; http://link.springer-ny.com/link/service/series/0558/papers/2150/21500566.pdf", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @TechReport{Amestoy:2002:TSA, author = "Patrick R. Amestoy and Iain S. Duff and Christof V{\"o}mel", title = "Task scheduling in an asynchronous distributed memory multifrontal solver", type = "Report", number = "RAL-TR-2002-028 and TR/PA/02/105", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", year = "2002", bibdate = "Tue Jan 03 06:32:21 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/296/raltr-2002028.pdf", acknowledgement = ack-nhfb, } @Article{Blackford:2002:USB, author = "L. Susan Blackford and James Demmel and Jack Dongarra and Iain Duff and Sven Hammarling and Greg Henry and Michael Heroux and Linda Kaufman and Andrew Lumsdaine and Antoine Petitet and Roldan Pozo and Karin Remington and R. Clint Whaley", title = "An updated set of {Basic Linear Algebra Subprograms (BLAS)}", journal = j-TOMS, volume = "28", number = "2", pages = "135--151", month = jun, year = "2002", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/567806.567807", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Nov 9 11:16:50 MST 2002", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Carpentieri:2002:CST, author = "B. Carpentieri and I. S. Duff and L. Giraud", title = "A class of spectral two-level preconditioners", type = "Report", number = "RAL-TR-2002-020", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2002", bibdate = "Tue Jan 03 06:35:13 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/291/raltr-2002020.pdf", acknowledgement = ack-nhfb, } @TechReport{Carpentieri:2002:SSP, author = "B. Carpentieri and I. S. Duff and L. Giraud and M. Magolu monga Made", title = "Sparse symmetric preconditioners for dense linear systems in electromagnetism", type = "Report", number = "RAL-TR-2002-016", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2002", bibdate = "Tue Jan 03 06:36:17 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/288/raltr-2002016.pdf", acknowledgement = ack-nhfb, } @Article{Duff:2002:ARM, author = "Iain S. Duff and Christof V{\"o}mel", title = "{Algorithm 818}: {A} reference model implementation of the {Sparse BLAS} in {Fortran 95}", journal = j-TOMS, volume = "28", number = "2", pages = "268--283", month = jun, year = "2002", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/567806.567811", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65Fxx (65-04 65Y15)", MRnumber = "MR1928069 (2003h:65028)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "The Basic Linear Algebra Subprograms for sparse matrices (Sparse BLAS) as defined by the blas technical forum are a set of routines providing basic operations for sparse matrices and vectors. A principal goal for the Sparse BLAS standard is to aid in the development of iterative solvers for large sparse systems by specifying on the one hand interfaces for a high-level description of vector and matrix operations for the algorithm developer and on the other hand leaving enough freedom for vendors to provide the most efficient implementation of the underlying algorithms for their specific architectures.\par The Sparse BLAS standard defines interfaces and bindings for the three target languages: C, Fortran 77 and Fortran 95. We describe here our Fortran 95 implementation intended as a reference model for the Sparse BLAS. We identify the underlying complex issues of the representation and the handling of sparse matrices and give suggestions to other implementors of how to address them.", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Duff:2002:AXR, author = "Iain S. Duff and Christof V{\"o}mel", title = "Algorithm xxx: a reference model implementation of the {Sparse BLAS} in {Fortran 95}", type = "Report", number = "RAL-TR-2002-018", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2002", bibdate = "Tue Jan 03 06:16:49 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/289/raltr-2002018.pdf", acknowledgement = ack-nhfb, } @InProceedings{Duff:2002:DMS, author = "Iain S. Duff", editor = "????", booktitle = "Proceedings of the Conference Alg{\`e}bre Lin{\'e}aire et Arithm{\'e}tique Calcul Num{\'e}rique et Parall{\`e}le, held in Rabat, Morocco, 28--31 May, 2001", title = "Direct methods for the solution of large sparse systems", publisher = "????", address = "????", pages = "??--??", year = "2002", bibdate = "Tue Jan 03 07:16:07 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:2002:INE, author = "Iain S. Duff and Christof V{\"o}mel", title = "Incremental norm estimation for dense and sparse matrices", journal = j-BIT-NUM-MATH, volume = "42", number = "2", pages = "300--322", month = jun, year = "2002", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1023/A:1021946924741", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65F35", MRnumber = "MR1912589 (2003f:65076)", MRreviewer = "Zuhe Shen", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.mai.liu.se/BIT/contents/bit42.html; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", } @TechReport{Duff:2002:MNC, author = "Iain S. Duff", title = "{MA57} --- a new code for the solution of sparse symmetric indefinite systems", type = "Report", number = "RAL-TR-2002-024", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2002", bibdate = "Tue Jan 03 07:19:55 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/293/raltr-2002024.pdf", acknowledgement = ack-nhfb, } @Article{Duff:2002:NA, author = "I. S. Duff and W. Borchers and L. Giraud and H. A. van der Vorst", title = "Numerical Algorithms", journal = j-LECT-NOTES-COMP-SCI, volume = "2400", pages = "675--676", year = "2002", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Tue Sep 10 19:10:14 MDT 2002", bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2400.htm; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/tex/bib/lncs2002c.bib", URL = "http://link.springer-ny.com/link/service/series/0558/bibs/2400/24000675.htm; http://link.springer-ny.com/link/service/series/0558/papers/2400/24000675.pdf", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @TechReport{Duff:2002:NAG, author = "I. S. Duff", title = "{Numerical Analysis Group. Progress Report. January 2000--December 2001}", type = "Report", number = "RAL-TR-2002-010", institution = inst-RAL, address = inst-RAL:adr, pages = "????", month = "????", year = "2002", bibdate = "Mon Jan 02 10:28:35 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/285/raltr-2002010.pdf", acknowledgement = ack-nhfb, } @Article{Duff:2002:OSB, author = "Iain S. Duff and Michael A. Heroux and Roldan Pozo", title = "An overview of the {Sparse Basic Linear Algebra Subprograms}: {The} new standard from the {BLAS Technical Forum}", journal = j-TOMS, volume = "28", number = "2", pages = "239--267", month = jun, year = "2002", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/567806.567810", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65Fxx (65-04)", MRnumber = "MR1928068 (2003h:65027)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "We discuss the interface design for the Sparse Basic Linear Algebra Subprograms (BLAS), the kernels in the recent standard from the BLAS Technical Forum that are concerned with unstructured sparse matrices. The motivation for such a standard is to encourage portable programming while allowing for library-specific optimizations. In particular, we show how this interface can shield one from concern over the specific storage scheme for the sparse matrix. This design makes it easy to add further functionality to the sparse BLAS in the future.We illustrate the use of the Sparse BLAS with examples in the three supported programming languages, Fortran 95, Fortran 77, and C.", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Duff:2002:PDS, author = "Iain S. Duff and Jennifer A. Scott", title = "A parallel direct solver for large highly unsymmetric linear systems", type = "Report", number = "RAL-TR-2002-033", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2002", bibdate = "Tue Jan 03 06:15:29 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/301/raltr-2002033.pdf", acknowledgement = ack-nhfb, } @TechReport{Papadopoulos:2002:IOF, author = "A. T. Papadopoulos and I. S. Duff and A. J. Wathen", title = "Incomplete orthogonal factorization methods using {Givens} rotations {II}: implementation and results", type = "Report", number = "RAL-TR-2002-019 and NA-02-07", institution = inst-RAL # " and Oxford University Computing Services", address = inst-RAL:adr # " and Oxford, Oxon, UK", pages = "????", month = "????", year = "2002", bibdate = "Mon Jan 02 10:50:49 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "To appear in BIT.", URL = "http://epubs.cclrc.ac.uk/bitstream/290/raltr-2002019.pdf", acknowledgement = ack-nhfb, } @Article{vanderVorst:2002:CMC, author = "Henk van der Vorst and Iain Duff and Howard Elman and Ronal Freund and Tim Kelley and Seymour Parter and Gerhard Starke and Nick Trefethen and Panayot Vassilevski and Homer Walker and Olof Widlund", title = "{2000 Copper Mountain Conference}", journal = j-SIAM-J-SCI-COMP, volume = "23", number = "2", pages = "vii--vii", month = mar, year = "2002", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Wed Jul 25 09:55:57 MDT 2001", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/97414", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @TechReport{Alleon:2003:EPI, author = "G. All{\'e}on and B. Carpentieri and I. S. Duff and L. Giraud and E. Martin and G. Sylvand", title = "Efficient parallel iterative solvers for the solution of large dense linear systems arising from the boundary element method in electromagnetism", type = "Report", number = "TR/PA/03/65", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "2003", bibdate = "Mon Jan 02 10:02:05 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @TechReport{Amestoy:2003:APSa, author = "Patrick R. Amestoy and Iain S. Duff and St{\'e}phane Pralet and Christof V{\"o}mel", title = "Adapting a parallel sparse direct solver to architectures with clusters of {SMPs}", type = "Report", number = "TR/PA/03/05", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "2003", bibdate = "Tue Jan 03 06:22:58 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Amestoy:2003:APSb, author = "Patrick R. Amestoy and Iain S. Duff and St{\'e}phane Pralet and Christof V{\"o}mel", title = "Adapting a parallel sparse direct solver to architectures with clusters of {SMPs}", journal = j-PARALLEL-COMPUTING, volume = "29", number = "11--12", pages = "1645--1668", month = nov # "\slash " # dec, year = "2003", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/j.parco.2003.05.010", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "65F50 (65F05 65Y05)", MRnumber = "MR2038396", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Parallel and distributed scientific and engineering computing", acknowledgement = ack-nhfb, fjournal = "Parallel Computing. Theory and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", } @TechReport{Amestoy:2003:IIMa, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent and Xiaoye S. Li", title = "Impact of the implementation of {MPI} point-to-point communications on the performance of two general sparse solvers", type = "Report", number = "TR/PA/03/14 and RR-4372 and LBNL-48968 and RT/APO/01/4", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "2003", bibdate = "Tue Jan 03 06:25:11 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Amestoy:2003:IIMb, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent and Xiaoye S. Li", title = "Impact of the implementation of {MPI} point-to-point communications on the performance of two general sparse solvers", journal = j-PARALLEL-COMPUTING, volume = "29", number = "7", pages = "833--849", month = jul, year = "2003", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/S0167-8191(03)00067-X", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Wed Dec 24 09:07:26 MST 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", } @TechReport{Carpentieri:2003:CFM, author = "B. Carpentieri and I. S. Duff and L. Giraud and G. Sylvand", title = "Combining Fast Multipole Techniques and an Approximate Inverse Preconditioner for Large Electromagnetism Calculations", type = "Report", number = "RAL-TR-2003-024 and TR/PA/03/77", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, month = "????", year = "2003", bibdate = "Tue Jan 03 06:27:16 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "To appear in SIAM J. Sci. Comput.", URL = "http://epubs.cclrc.ac.uk/bitstream/316/raltr-2003024.pdf", acknowledgement = ack-nhfb, xxtitle = "Combining fast multipole techniques and an approximate inverse preconditioner for large parallel electromagnetics calculations", } @Article{Carpentieri:2003:CST, author = "B. Carpentieri and I. S. Duff and L. Giraud", title = "A class of spectral two-level preconditioners", journal = j-SIAM-J-SCI-COMP, volume = "25", number = "2", pages = "749--765 (electronic)", year = "2003", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827502408591", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F10", MRnumber = "MR2058086 (2005g:65054)", MRreviewer = "Rafael Bru", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @TechReport{Duff:2003:USL, author = "I. S. Duff and L. Giraud and J. Langou and E. Martin", title = "Using spectral low rank preconditioners for large electromagnetic calculations", type = "Report", number = "RAL-TR-2003-023", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2003", bibdate = "Tue Jan 03 06:29:25 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/315/raltr-2003023.pdf", acknowledgement = ack-nhfb, } @Article{vanderVorst:2003:CMC, author = "Henk van der Vorst and Iain Duff and Howard Elman and Ronal Freund and Tim Kelley and Seymour Parter and Gerhard Starke and Nick Trefethen and Panayot Vassilevski and Homer Walker and Olof Widlund", title = "{2002 Copper Mountain Conference}", journal = j-SIAM-J-SCI-COMP, volume = "25", number = "2", pages = "vii--vii", month = mar, year = "2003", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65-06", MRnumber = "MR2062261", bibdate = "Sat Dec 31 06:28:14 2005", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/2; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib; MathSciNet database", note = "Held in Copper Mountain, CO, March 24--29, 2002.", URL = "http://epubs.siam.org/sam-bin/dbq/article/97415", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Amestoy:2004:AAA, author = "Patrick R. Amestoy and Timothy A. Davis and Iain S. Duff", title = "{Algorithm 837}: {AMD}, an approximate minimum degree ordering algorithm", journal = j-TOMS, volume = "30", number = "3", pages = "381--388", month = sep, year = "2004", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1024074.1024081", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (05C85)", MRnumber = "MR2124398", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "AMD is a set of routines that implements the approximate minimum degree ordering algorithm to permute sparse matrices prior to numerical factorization. There are versions written in both C and Fortran 77. A MATLAB interface is included.", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "Algorithms; Experimentation; Linear equations; minimum degree; ordering methods; Performance; sparse", } @Article{Amestoy:2004:TSA, author = "Patrick R. Amestoy and Iain S. Duff and Christof V{\"o}mel", title = "Task scheduling in an asynchronous distributed memory multifrontal solver", journal = j-SIAM-J-MAT-ANA-APPL, volume = "26", number = "2", pages = "544--565 (electronic)", year = "2004", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479802419877", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F50 (65F05 68W15)", MRnumber = "MR2124403 (2005j:65045)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @InProceedings{Carpentieri:2004:EIS, author = "B. Carpentieri and I. S. Duff and L. Giraud and G. Sylvand", title = "An embedded iterative scheme in electromagnetism", crossref = "Wyrzykowski:2004:PPA", pages = "977--984", year = "2004", bibdate = "Mon Jan 02 09:25:59 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Carpentieri:2004:SSP, author = "B. Carpentieri and I. S. Duff and L. Giraud and M. Magolu monga Made", title = "Sparse symmetric preconditioners for dense linear systems in electromagnetism", journal = j-NUM-LIN-ALG-APPL, volume = "11", number = "8--9", pages = "753--771", month = oct # "\slash " # nov, year = "2004", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/nla.345", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65F10 (78M25)", MRnumber = "MR2089471 (2005h:65042)", MRreviewer = "Jin Yun Yuan", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.interscience.wiley.com/jpages/1070-5325; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www3.interscience.wiley.com/journalfinder.html", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", onlinedate = "17 May 2004", } @TechReport{Duff:2004:CDI, author = "I. S. Duff", title = "Combining direct and iterative methods for the solution of large systems in different application areas", type = "Report", number = "RAL-TR-2004-033 and TR/PA/04/128", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", month = "????", year = "2004", bibdate = "Mon Jan 02 10:32:54 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/628/duRAL2004033.pdf", acknowledgement = ack-nhfb, } @TechReport{Duff:2004:EPS, author = "I. S. Duff and S. Pralet", title = "Experiments in preprocessing and scaling symmetric problems for multifrontal solutions", type = "Report", number = "WN/PA/04/17", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", month = "????", year = "2004", bibdate = "Mon Jan 02 10:38:54 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Duff:2004:MCS, author = "Iain S. Duff", title = "{MA57}---a code for the solution of sparse symmetric definite and indefinite systems", journal = j-TOMS, volume = "30", number = "2", pages = "118--144", month = jun, year = "2004", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/992200.992202", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65-04 65F05)", MRnumber = "MR2075977", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Duff:2004:NAG, author = "I. S. Duff", title = "{Numerical Analysis Group. Progress Report. January 2002--December 2003}", type = "Report", number = "RAL-TR-2004-016", institution = inst-RAL, address = inst-RAL:adr, pages = "????", month = "????", year = "2004", bibdate = "Mon Jan 02 10:28:35 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/630/duffRAL2004016.pdf", acknowledgement = ack-nhfb, } @Article{Duff:2004:PDS, author = "Iain S. Duff and Jennifer A. Scott", title = "A parallel direct solver for large sparse highly unsymmetric linear systems", journal = j-TOMS, volume = "30", number = "2", pages = "95--117", month = jun, year = "2004", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/992200.992201", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65-04 65F05 65Y05)", MRnumber = "MR2075976 (2005b:65052)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Duff:2004:PPB, author = "I. S. Duff and S. Riyavong and M. {Van Gijzen}", title = "Parallel preconditioners based on partitioning sparse matrices", type = "Report", number = "RAL-TR-2004-040 and TR/PA/04/114", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", month = "????", year = "2004", bibdate = "Mon Jan 02 10:43:50 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/605/drvRAL2004040.pdf", acknowledgement = ack-nhfb, } @TechReport{Duff:2004:SBB, author = "I. S. Duff and J. A. Scott", title = "Stabilized bordered block diagonal forms for parallel sparse solvers", type = "Report", number = "RAL-TR-2004-006", institution = inst-RAL, address = inst-RAL:adr, year = "2004", bibdate = "Tue Jan 03 06:12:21 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/320/raltr-2004006.pdf", acknowledgement = ack-nhfb, } @TechReport{Duff:2004:SSP, author = "I. S. Duff and S. Pralet", title = "Strategies for scaling and pivoting for sparse symmetric indefinite problems", type = "Report", number = "RAL-TR-2004-020 and TR/PA/04/59", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, pages = "????", month = "????", year = "2004", bibdate = "Mon Jan 02 10:39:45 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "To appear in SIAM J. Matrix Anal. and Applics.", URL = "http://epubs.cclrc.ac.uk/bitstream/473/raltr-2004020.pdf", acknowledgement = ack-nhfb, } @TechReport{Scott:2004:MHS, author = "J. A. Scott and I. S. Duff", title = "Multilevel hybrid spectral element ordering", type = "Report", number = "RAL-TR-2004-018", institution = inst-RAL, address = inst-RAL:adr, pages = "????", year = "2004", bibdate = "Tue Jan 03 06:21:04 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/603/dsRAL91056.pdf", acknowledgement = ack-nhfb, } @Article{Amestoy:2005:TSA, author = "Patrick R. Amestoy and Iain S. Duff and Christof V{\"o}mel", title = "Task Scheduling in an Asynchronous Distributed Memory Multifrontal Solver", journal = j-SIAM-J-MAT-ANA-APPL, volume = "26", number = "2", pages = "544--565", month = apr, year = "2005", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", bibdate = "Sat Apr 16 10:32:39 MDT 2005", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/26/2; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/41987", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Carpentieri:2005:CFM, author = "B. Carpentieri and I. S. Duff and L. Giraud and G. Sylvand", title = "Combining Fast Multipole Techniques and an Approximate Inverse Preconditioner for Large Electromagnetism Calculations", journal = j-SIAM-J-SCI-COMP, volume = "27", number = "3", pages = "774--792", month = may, year = "2005", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/040603917", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Mon Nov 21 14:52:54 MST 2005", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/27/3; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/60391", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Duff:2005:CE, author = "Iain Duff and Endre S{\"u}li", title = "Change of {Editorship}", journal = j-IMA-J-NUMER-ANAL, volume = "25", number = "1", pages = "i--i", month = jan, year = "2005", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drh026", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", bibdate = "Fri Jul 8 07:42:10 MDT 2005", bibsource = "http://imanum.oxfordjournals.org/content/vol25/issue1/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://imanum.oupjournals.org/cgi/reprint/25/1/i", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Duff:2005:SBB, author = "Iain S. Duff and Jennifer A. Scott", title = "Stabilized bordered block diagonal forms for parallel sparse solvers", journal = j-PARALLEL-COMPUTING, volume = "31", number = "3--4", pages = "275--289", month = mar # "\slash " # apr, year = "2005", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/j.parco.2004.12.008", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "65F50", MRnumber = "MR2145772 (2005m:65100)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.sciencedirect.com/science/journal/01678191", acknowledgement = ack-nhfb, fjournal = "Parallel Computing. Theory and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", } @Article{Duff:2005:SSP, author = "Iain S. Duff and St{\'e}phane Pralet", title = "Strategies for Scaling and Pivoting for Sparse Symmetric Indefinite Problems", journal = j-SIAM-J-MAT-ANA-APPL, volume = "27", number = "2", pages = "313--340", month = apr, year = "2005", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/04061043X", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", bibdate = "Thu Dec 29 16:33:54 MST 2005", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/27/2; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/61043", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @TechReport{Duff:2005:TSS, author = "I. S. Duff and S. Pralet", title = "Towards a stable static pivoting strategy for the sequential and parallel solution of sparse symmetric indefinite systems", type = "Report", number = "RAL-TR-2005-007 and TR/PA/05/26 and RT/TLSE/05/08", institution = inst-RAL # " and " # inst-CERFACS # " and " # inst-IRIT, address = inst-RAL:adr # " and " # inst-CERFACS:adr # " and " # inst-IRIT:adr, pages = "????", month = "????", year = "2005", bibdate = "Mon Jan 02 10:40:58 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://epubs.cclrc.ac.uk/bitstream/723/raltr-2005007.pdf", acknowledgement = ack-nhfb, } @Article{Duff:2005:USL, author = "I. S. Duff and L. Giraud and J. Langou and E. Martin", title = "Using spectral low rank preconditioners for large electromagnetic calculations", journal = j-INT-J-NUMER-METHODS-ENG, volume = "62", number = "????", pages = "416--434", month = "????", year = "2005", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/nme.1201", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", bibdate = "Mon Jan 02 09:39:07 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", } @Article{Papadopoulos:2005:CIO, author = "A. T. Papadopoulos and I. S. Duff and A. J. Wathen", title = "A class of incomplete orthogonal factorization methods. {II}. {Implementation} and results", journal = j-BIT-NUM-MATH, volume = "45", number = "1", pages = "159--179", year = "2005", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/s10543-005-2642-z", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65Fxx", MRnumber = "MR2164230", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", } @Article{Arioli:2007:NGP, author = "M. Arioli and I. S. Duff and S. Gratton and S. Pralet", title = "A Note on {GMRES} Preconditioned by a Perturbed {$ L D L^T $} Decomposition with Static Pivoting", journal = j-SIAM-J-SCI-COMP, volume = "29", number = "5", pages = "2024--2044", year = "2007", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/060661545", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F05 (65F10 65F50 65G50)", MRnumber = "MR2350019 (2008i:65052)", MRreviewer = "Olexander S. Babanin", bibdate = "Thu May 13 17:10:09 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/29/5; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Duff:2007:MBP, author = "I. Duff and S. Gratton and X. Pinel and X. Vasseur", title = "Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics", journal = j-INT-J-COMPUT-MATH, volume = "84", number = "8", pages = "1167--1181", year = "2007", CODEN = "IJCMAT", DOI = "https://doi.org/10.1080/00207160701356076", ISSN = "0020-7160", ISSN-L = "0020-7160", MRclass = "65F10 (86A60)", MRnumber = "2349732", bibdate = "Mon Aug 23 18:45:56 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Computer Mathematics", journal-URL = "http://www.tandfonline.com/loi/gcom20", } @InCollection{Duff:2007:SSS, author = "Iain S. Duff", booktitle = "Some topics in industrial and applied mathematics", title = "Sparse system solution and the {HSL} library", volume = "8", publisher = "Higher Ed. Press", address = "Beijing, China", pages = "78--94", year = "2007", MRclass = "65F50", MRnumber = "MR2381910 (2009b:65112)", MRreviewer = "Joaqu{\'\i}m J. J{\'u}dice", bibdate = "Thu May 13 17:10:09 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "Ser. Contemp. Appl. Math. CAM", acknowledgement = ack-nhfb, } @Article{Duff:2007:TSM, author = "Iain S. Duff and St{\'e}phane Pralet", title = "Towards Stable Mixed Pivoting Strategies for the Sequential and Parallel Solution of Sparse Symmetric Indefinite Systems", journal = j-SIAM-J-MAT-ANA-APPL, volume = "29", number = "3", pages = "1007--1024", year = "2007", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/050629598", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F05 (65F50)", MRnumber = "MR2365903 (2008h:65011)", MRreviewer = "Daniel B. Szyld", bibdate = "Thu May 13 17:10:09 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Amestoy:2008:PMS, author = "Patrick R. Amestoy and Iain S. Duff and Daniel Ruiz and Bora U{\c{c}}ar", title = "A parallel matrix scaling algorithm", journal = j-LECT-NOTES-COMP-SCI, volume = "5336", bookpages = "xix + 596", pages = "301--313", year = "2008", CODEN = "LNCSD9", DOI = "https://doi.org/10.1007/978-3-540-92859-1_27", ISBN = "3-540-92858-8", ISBN-13 = "978-3-540-92858-4", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", LCCN = "QA76.88 .V43 2008", bibdate = "Thu May 13 17:19:54 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "We recently proposed an iterative procedure which asymptotically scales the rows and columns of a given matrix to one in a given norm. In this work, we briefly mention some of the properties of that algorithm and discuss its efficient parallelization. We report on a parallel performance study of our implementation on a few computing environments.", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", keyword = "sparse matrices; matrix scaling; equilibration; parallel computing", meetingname = "VECPAR 2008 (2008 : Toulouse, France)", } @Article{Arioli:2008:UFO, author = "M. Arioli and I. S. Duff", title = "Using {FGMRES} to obtain backward stability in mixed precision", journal = j-ELECTRON-TRANS-NUMER-ANAL, volume = "33", pages = "31--44", year = "2008\slash 2009", CODEN = "????", ISSN = "1068-9613 (print), 1097-4067 (electronic)", ISSN-L = "1068-9613", MRclass = "65F10 (65F50 65G50)", MRnumber = "MR2590125", bibdate = "Thu May 13 17:10:09 2010", bibsource = "http://etna.mcs.kent.edu/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://etna.mcs.kent.edu/vol.33.2008-2009/pp31-44.dir/pp31-44.pdf", acknowledgement = ack-nhfb, fjournal = "Electronic Transactions on Numerical Analysis", journal-URL = "http://etna.mcs.kent.edu/", } @Article{Bai:2009:NSI, author = "Zhong-Zhi Bai and Iain S. Duff and Jun-Feng Yin", title = "Numerical study on incomplete orthogonal factorization preconditioners", journal = j-J-COMPUT-APPL-MATH, volume = "226", number = "1", pages = "22--41", day = "1", month = apr, year = "2009", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2008.05.014", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65F08 (65F10 65F25 65F50)", MRnumber = "MR2501877 (2010b:65062)", MRreviewer = "Paulo B. Vasconcelos", bibdate = "Thu May 13 17:10:09 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib", ZMnumber = "1161.65036", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @Article{Duff:2009:DUS, author = "Iain S. Duff", title = "The design and use of a sparse direct solver for skew symmetric matrices", journal = j-J-COMPUT-APPL-MATH, volume = "226", number = "1", pages = "50--54", day = "1", month = apr, year = "2009", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2008.05.016", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65F50 (65F05)", MRnumber = "MR2501879 (2010e:65065)", bibdate = "Thu May 13 17:10:09 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib", ZMnumber = "1161.65021", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @Article{Trefethen:2009:DHP, author = "Anne Trefethen and Nick Higham and Iain Duff and Peter Coveney", title = "Developing a High-Performance Computing\slash Numerical Analysis Roadmap", journal = j-IJHPCA, volume = "23", number = "4", pages = "423--426", month = nov, year = "2009", CODEN = "IHPCFL", DOI = "https://doi.org/10.1177/1094342009347710", ISSN = "1094-3420 (print), 1741-2846 (electronic)", ISSN-L = "1094-3420", bibdate = "Tue Aug 31 09:59:45 MDT 2010", bibsource = "http://hpc.sagepub.com/content/23/4.toc; http://hpc.sagepub.com/content/by/year; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/ijsa.bib", URL = "http://hpc.sagepub.com/content/23/4/423.full.pdf+html", acknowledgement = ack-nhfb, fjournal = "International Journal of High Performance Computing Applications", journal-URL = "http://hpc.sagepub.com/content/by/year", } @Article{Amestoy:2010:ASP, author = "P. Amestoy and I. S. Duff and A. Guermouche and Tz. Slavova", title = "Analysis of the solution phase of a parallel multifrontal approach", journal = j-PARALLEL-COMPUTING, volume = "36", number = "1", pages = "3--15", month = jan, year = "2010", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/j.parco.2009.06.001", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Thu Sep 2 17:51:12 MDT 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.sciencedirect.com/science/journal/01678191", acknowledgement = ack-nhfb, fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", } @InCollection{Duff:2010:BGW, author = "Iain S. Duff", booktitle = "{G. W. Stewart}: selected works with commentaries", title = "Biography of {G. W. Stewart}", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "3--9", year = "2010", DOI = "https://doi.org/10.1007/978-0-8176-4968-5_1", MRclass = "01A70", MRnumber = "2731850", bibdate = "Wed Apr 27 09:14:27 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "Contemp. Mathematicians", acknowledgement = ack-nhfb, } @Article{Duff:2010:BTF, author = "Iain S. Duff and Bora U{\c{c}}ar", title = "On the Block Triangular Form of Symmetric Matrices", journal = j-SIAM-REVIEW, volume = "52", number = "3", pages = "455--470", month = "????", year = "2010", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/080720036", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "05C50 (05C70 05D15 65F50)", MRnumber = "2680542 (2011j:05198)", MRreviewer = "Carlos M. da Fonseca", bibdate = "Sun Nov 28 22:10:52 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/52/3; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Article{Tuminaro:2010:SIC, author = "Ray Tuminaro and Xiao-Chuan Cai and Kirk Jordan and Tom Manteuffel and Homer Walker and Iain Duff and Tim Kelley and Steve McCormick and Carol Woodward and Howard Elman and David Keyes and Michael Overton and Panayot Vassilevski and Roland Freund and Misha Kilmer and David Silvester and Irad Yavneh", title = "Special Issue: {2008 Copper Mountain Conference}", journal = j-SIAM-J-SCI-COMP, volume = "32", number = "1", pages = "VII--VII", month = "????", year = "2010", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Tue Jun 4 09:26:54 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Bai:2011:PSI, author = "Zhong-Zhi Bai and Michele Benzi and Iain S. Duff and Andreas Frommer and Zhong-Ci Shi", title = "Preface [{Special issue: Devoted to the 2nd NASC 08 Conference in Nanjing (NSC), November 2--5, 2008}]", journal = j-LINEAR-ALGEBRA-APPL, volume = "434", number = "11", pages = "2223--2224", day = "1", month = jun, year = "2011", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2010.11.028", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15-06 (65-06)", MRnumber = "2776792", bibdate = "Wed Mar 30 23:04:17 MDT 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.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{Duff:2011:ATE, author = "Iain Duff and Dubravka Mijuca", title = "On accurate and time efficient solution of primal-mixed finite element equations in multiscale solid mechanics", journal = j-INT-J-NUMER-METHODS-BIOMED-ENG, volume = "27", number = "1", pages = "95--112", year = "2011", DOI = "https://doi.org/10.1002/cnm.1296", ISSN = "2040-7947", ISSN-L = "2040-7939", bibdate = "Wed Apr 27 09:17:26 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", abstract = "In order to identify the best technique to solve a class of geometrically multiscale model problems in thermoelasticity, we examine a combination of a primal-mixed finite element approach and direct sparse solvers and matrix scaling routines. The criteria for optimality are robustness, accuracy and execution time. It will be shown that the present finite element approach, where displacement and stress variables are simultaneously solved from large-scale indefinite poorly scaled systems of equations using the sparse HSL solver MA57 with the aid of the matrix scaling routines MC64 or MC30 during the factorization process, enables a reliable solution even if hexahedral finite elements in a mesh differ in size up to six orders of magnitude. A number of tests in multiscale elasticity and thermoelasticity are examined to test the accuracy and execution time efficiency of the proposed solution approach on a standard PC computing platform.", acknowledgement = ack-nhfb, classmath = "*74-99 (Mechanics of deformable solids)", fjournal = "International Journal for Numerical Methods in Biomedical Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)2040-7947", keywords = "geometrically multiscale; indefinite; primal-mixed finite element; reliable; sparse; thermoelasticity; time efficient", } @Article{Duff:2011:DIA, author = "Iain S. Duff and Kamer Kaya and Bora U{\c{c}}car", title = "Design, implementation, and analysis of maximum transversal algorithms", journal = j-TOMS, volume = "38", number = "2", pages = "13:1--13:31", month = dec, year = "2011", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2049673.2049677", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (05C70 05C85)", MRnumber = "2893028", bibdate = "Fri Dec 30 17:43:07 MST 2011", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", abstract = "We report on careful implementations of seven algorithms for solving the problem of finding a maximum transversal of a sparse matrix. We analyze the algorithms and discuss the design choices. To the best of our knowledge, this is the most comprehensive comparison of maximum transversal algorithms based on augmenting paths. Previous papers with the same objective either do not have all the algorithms discussed in this article or they used nonuniform implementations from different researchers. We use a common base to implement all of the algorithms and compare their relative performance on a wide range of graphs and matrices. We systematize, develop, and use several ideas for enhancing performance.", acknowledgement = ack-nhfb, articleno = "13", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @Article{Guo:2011:SGC, author = "Xue-Ping Guo and Iain S. Duff", title = "Semilocal and global convergence of the {Newton--HSS} method for systems of nonlinear equations", journal = j-NUM-LIN-ALG-APPL, volume = "18", number = "3", pages = "299--315", month = may, year = "2011", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/nla.713", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65H10", MRnumber = "2760054 (2012i:65096)", MRreviewer = "Martin Hermann", bibdate = "Wed Apr 27 09:05:22 MDT 2011", bibsource = "http://www.interscience.wiley.com/jpages/1070-5325; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www3.interscience.wiley.com/journalfinder.html", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", onlinedate = "29 Apr 2010", } @Article{Tuminaro:2011:SSC, author = "Ray Tuminaro and Michele Benzi and Xiao-Chuan Cai and Iain Duff and Howard Elman and Roland Freund and Kirk Jordan and Tim Kelley and David Keyes and Misha Kilmer and Sven Leyffer and Tom Manteuffel and Steve McCormick and David Silvester and Homer Walker", title = "Special Section: {2010 Copper Mountain Conference}", journal = j-SIAM-J-SCI-COMP, volume = "33", number = "5", pages = "2685--2685", month = "????", year = "2011", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Thu Feb 9 06:07:10 MST 2012", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/33/5; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", URL = "http://epubs.siam.org/sisc/resource/1/sjoce3/v33/i5/p2685_s1", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "October 25, 2011", } @Article{Amestoy:2012:CIE, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent and Yves Robert and Fran{\c{c}}ois-Henry Rouet and Bora U{\c{c}}ar", title = "On Computing Inverse Entries of a Sparse Matrix in an Out-of-Core Environment", journal = j-SIAM-J-SCI-COMP, volume = "34", number = "4", pages = "A1975--A1999", month = "????", year = "2012", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/100799411", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F50 (65F05 65Y20)", MRnumber = "2970393", MRreviewer = "R. P. Tewarson", bibdate = "Tue Oct 30 14:49:05 MDT 2012", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/34/4; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2012", } @Article{Bai:2012:IMT, author = "Zhong-Zhi Bai and Iain S. Duff and Lothar Reichel and Zhong-Ci Shi", title = "Innovative methods and theories in numerical algebra", journal = j-NUM-LIN-ALG-APPL, volume = "19", number = "6", pages = "893--895", month = dec, year = "2012", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/nla.1857", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", bibdate = "Thu Mar 7 07:05:42 MST 2013", bibsource = "http://www.interscience.wiley.com/jpages/1070-5325; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/numlinaa.bib; http://www3.interscience.wiley.com//journalfinder.html", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", onlinedate = "26 Sep 2012", remark = "Special issue on innovative methods and theories in numerical algebra.", } @InCollection{Duff:2012:CPS, author = "Iain Duff and Bora U{\c{c}}ar", editor = "Olaf Schenk", booktitle = "Combinatorial scientific computing", title = "Combinatorial problems in solving linear systems", publisher = pub-CRC, address = pub-CRC:adr, pages = "21--68", year = "2012", DOI = "https://doi.org/10.1201/b11644-3", ISBN = "1-4398-2735-4 (print), 1-4398-2736-2 (e-book)", ISBN-13 = "978-1-4398-2735-2 (print), 1439827362 (e-book)", MRclass = "65Fxx (05C50 15A06)", MRnumber = "2952748", bibdate = "Fri Nov 9 17:56:57 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "Chapman \& Hall/CRC Comput. Sci. Ser.", acknowledgement = ack-nhfb, } @Article{Duff:2012:EES, author = "Iain S. Duff", title = "{European Exascale Software Initiative}: Numerical Libraries, Solvers and Algorithms", journal = j-LECT-NOTES-COMP-SCI, volume = "7155", pages = "295--304", year = "2012", CODEN = "LNCSD9", DOI = "https://doi.org/10.1007/978-3-642-29737-3_34", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Mon Dec 24 07:27:00 MST 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/lncs2012b.bib", URL = "http://link.springer.com/content/pdf/10.1007/978-3-642-29737-3_34", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/978-3-642-29737-3", book-URL = "http://www.springerlink.com/content/978-3-642-29737-3", fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @Article{Duff:2012:TPN, author = "Iain Duff and Efstratios Gallopoulos and Daniela di Serafino and Bora Ucar", title = "Topic 10: Parallel Numerical Algorithms", journal = j-LECT-NOTES-COMP-SCI, volume = "7484", pages = "550--550", year = "2012", CODEN = "LNCSD9", DOI = "https://doi.org/10.1007/978-3-642-32820-6_54", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Mon Dec 24 07:53:29 MST 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/lncs2012h.bib", URL = "http://link.springer.com/content/pdf/10.1007/978-3-642-32820-6_54", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/978-3-642-32820-6", book-URL = "http://www.springerlink.com/content/978-3-642-32820-6", fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @Article{Duff:2013:PBS, author = "Iain S. Duff and Kamer Kaya", title = "Preconditioners based on strong subgraphs", journal = j-ELECTRON-TRANS-NUMER-ANAL, volume = "40", pages = "225--248", year = "2013", CODEN = "????", ISSN = "1068-9613 (print), 1097-4067 (electronic)", ISSN-L = "1068-9613", MRclass = "65F08 (05C70 65F10 65F50)", MRnumber = "3081571", MRreviewer = "Bruno Carpentieri", bibdate = "Mon Mar 31 18:49:50 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/etna.bib", URL = "http://etna.mcs.kent.edu//vol.40.2013/pp225-248.dir/pp225-248.pdf", acknowledgement = ack-nhfb, fjournal = "Electronic Transactions on Numerical Analysis", journal-URL = "http://etna.mcs.kent.edu/", } @Article{Amestoy:2015:PCE, author = "Patrick R. Amestoy and Iain S. Duff and Jean-Yves L'Excellent and Fran{\c{c}}ois-Henry Rouet", title = "Parallel Computation of Entries of {$ A^{-1} $}", journal = j-SIAM-J-SCI-COMP, volume = "37", number = "2", pages = "C268--C284", month = "????", year = "2015", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/120902616", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F05 (05C50 65F50 65Y05 68W10)", MRnumber = "3341134", MRreviewer = "Mohammad Taghi Darvishi", bibdate = "Wed Jun 10 14:11:28 MDT 2015", bibsource = "http://epubs.siam.org/toc/sjoce3/37/2; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2015", } @Article{Arioli:2015:PLL, author = "Mario Arioli and Iain S. Duff", title = "Preconditioning Linear Least-Squares Problems by Identifying a Basis Matrix", journal = j-SIAM-J-SCI-COMP, volume = "37", number = "5", pages = "S544--S561", month = "????", year = "2015", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/140975358", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F08 (05C50 65F20 65F50 65K10)", MRnumber = "3504563", MRreviewer = "Valeria Ruggiero", bibdate = "Sat Oct 31 07:53:41 MDT 2015", bibsource = "http://epubs.siam.org/toc/sjoce3/37/5; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2015", remark = "Special Section: 2014 Copper Mountain Conference", } @Article{Bai:2015:PSI, author = "Zhong-Zhi Bai and Iain S. Duff", title = "Preface to the special issue on ``{Practical} methods and rigorous theories in numerical algebra and scientific computing''", journal = j-J-ENG-MATH, volume = "93", pages = "1--2", year = "2015", CODEN = "JLEMAU", DOI = "https://doi.org/10.1007/s10665-014-9780-8", ISSN = "0022-0833 (print), 1573-2703 (electronic)", ISSN-L = "0022-0833", MRclass = "65-06", MRnumber = "3386088", bibdate = "Mon Jan 4 13:45:51 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, ajournal = "J. Eng. Math.", fjournal = "Journal of Engineering Mathematics", journal-URL = "http://www.springerlink.com/content/0022-0833", } @Article{Drummond:2015:PSB, author = "L. A. Drummond and Iain S. Duff and Ronan Guivarch and Daniel Ruiz and Mohamed Zenadi", title = "Partitioning strategies for the block {Cimmino} algorithm", journal = j-J-ENG-MATH, volume = "93", pages = "21--39", year = "2015", CODEN = "JLEMAU", DOI = "https://doi.org/10.1007/s10665-014-9699-0", ISSN = "0022-0833 (print), 1573-2703 (electronic)", ISSN-L = "0022-0833", MRclass = "65F50 (05C65 15A06)", MRnumber = "3386090", MRreviewer = "Bruno Carpentieri", bibdate = "Mon Jan 4 13:46:11 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, ajournal = "J. Eng. Math.", fjournal = "Journal of Engineering Mathematics", journal-URL = "http://www.springerlink.com/content/0022-0833", } @Article{Duff:2015:ABC, author = "Iain S. Duff and Ronan Guivarch and Daniel Ruiz and Mohamed Zenadi", title = "The Augmented Block {Cimmino} Distributed Method", journal = j-SIAM-J-SCI-COMP, volume = "37", number = "3", pages = "A1248--A1269", month = "????", year = "2015", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/140961444", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F50 (05C50 05C70 65F10)", MRnumber = "3345350", MRreviewer = "Luca Gemignani", bibdate = "Sat Aug 8 06:48:44 MDT 2015", bibsource = "http://epubs.siam.org/toc/sjoce3/37/3; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2015", } @InProceedings{Liu:2016:SFA, author = "Weifeng Liu and Ang Li and Jonathan Hogg and Iain S. Duff and Brian Vinter", booktitle = "{Euro-Par 2016}: parallel processing", title = "A synchronization-free algorithm for parallel sparse triangular solves", volume = "9833", publisher = pub-SV, address = pub-SV:adr, pages = "617--630", year = "2016", DOI = "https://doi.org/10.1007/978-3-319-43659-3_45", MRclass = "65F05 (65F50 65Y05 68M07)", MRnumber = "3568394", bibdate = "Tue Jan 2 06:07:08 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = ser-LNCS, acknowledgement = ack-nhfb, } @Book{Duff:2017:DMS, author = "I. S. Duff and A. M. Erisman and J. K. Reid", title = "Direct Methods for Sparse Matrices", publisher = pub-OXFORD, address = pub-OXFORD:adr, edition = "Second", pages = "xx + 429", year = "2017", DOI = "https://doi.org/10.1093/acprof:oso/9780198508380.001.0001", ISBN = "978-019-850-8-3-8-0", ISBN-13 = "978-0-19-850838-0", MRclass = "65F05 (65-01 65F50)", MRnumber = "3616292", bibdate = "Tue Jan 2 06:08:47 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "Numerical Mathematics and Scientific Computation", acknowledgement = ack-nhfb, } @Article{Liu:2017:FSF, author = "Weifeng Liu and Ang Li and Jonathan D. Hogg and Iain S. Duff and Brian Vinter", title = "Fast synchronization-free algorithms for parallel sparse triangular solves with multiple right-hand sides", journal = j-CCPE, volume = "29", number = "21", pages = "??--??", day = "10", month = nov, year = "2017", CODEN = "CCPEBO", DOI = "https://doi.org/10.1002/cpe.4244", ISSN = "1532-0626 (print), 1532-0634 (electronic)", ISSN-L = "1532-0626", bibdate = "Sat Dec 30 09:11:58 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/ccpe.bib", acknowledgement = ack-nhfb, fjournal = "Concurrency and Computation: Practice and Experience", journal-URL = "http://www.interscience.wiley.com/jpages/1532-0626", } @Article{Duff:2018:ESC, author = "Iain Duff and Jonathan Hogg and Florent Lopez", title = "Experiments with sparse {Cholesky} using a sequential task-flow implementation", journal = j-NUMER-ALGEBRA-CONTROL-OPTIM, volume = "8", number = "2", pages = "237--260", year = "2018", DOI = "https://doi.org/10.3934/naco.2018014", ISSN = "2155-3289 (print), 2155-3297 (electronic)", ISSN-L = "2155-3297", MRclass = "65F50 (65Y05)", MRnumber = "3811581", MRreviewer = "A. Bultheel", bibdate = "Fri Jan 25 18:47:22 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://aimsciences.org/article/doi/10.3934/naco.2018014", acknowledgement = ack-nhfb, ajournal = "Numer. Algebra Control Optim.", fjournal = "Numerical Algebra, Control and Optimization", journal-URL = "http://aimsciences.org/journal/2155-3289", } @InCollection{Duff:2018:ESCb, author = "Iain Duff and Florent Lopez", booktitle = "Parallel processing and applied mathematics. {Part I}", title = "Experiments with sparse {Cholesky} using a parametrized task graph implementation", volume = "10777", publisher = pub-SV, address = pub-SV:adr, pages = "197--206", year = "2018", DOI = "https://doi.org/10.1007/978-3-319-78024-5", MRclass = "65F50 (05C90 65F05 65Y05)", MRnumber = "3781117", bibdate = "Fri Jan 25 18:47:22 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = ser-LNCS, acknowledgement = ack-nhfb, } @InCollection{Duff:2018:SDS, author = "Iain Duff and Florent Lopez and Stojce Nakov", booktitle = "Numerical analysis and optimization", title = "Sparse direct solution on parallel computers", volume = "235", pages = "67--98", publisher = pub-SV, address = pub-SV:adr, year = "2018", MRclass = "65F50 (65Y05)", MRnumber = "3811382", bibdate = "Fri Jan 25 18:47:22 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "Springer Proc. Math. Stat.", acknowledgement = ack-nhfb, } @Article{Cayrols:2020:PSP, author = "S{\'e}bastien Cayrols and Iain S. Duff and Florent Lopez", title = "Parallelization of the solve phase in a task-based {Cholesky} solver using a sequential task flow model", journal = j-IJHPCA, volume = "34", number = "3", pages = "340--356", day = "1", month = may, year = "2020", CODEN = "IHPCFL", DOI = "https://doi.org/10.1177/1094342019888567", ISSN = "1094-3420 (print), 1741-2846 (electronic)", ISSN-L = "1094-3420", bibdate = "Sat Jul 25 09:38:32 MDT 2020", bibsource = "http://hpc.sagepub.com/; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/ijsa.bib", URL = "https://journals.sagepub.com/doi/full/10.1177/1094342019888567", acknowledgement = ack-nhfb, fjournal = "International Journal of High Performance Computing Applications", } @Article{Davis:2020:DIP, author = "Timothy A. Davis and Iain S. Duff and Stojce Nakov", title = "Design and Implementation of a Parallel {Markowitz} Threshold Algorithm", journal = j-SIAM-J-MAT-ANA-APPL, volume = "41", number = "2", pages = "573--590", month = "????", year = "2020", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/19M1245815", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F50", MRnumber = "4092324", MRreviewer = "Bruno Carpentieri", bibdate = "Fri Mar 12 10:18:01 MST 2021", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/41/2; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", onlinedate = "January 2020", } @Article{Duff:2020:NSS, author = "Iain Duff and Jonathan Hogg and Florent Lopez", title = "A New Sparse {$ L D L^T $} Solver Using A Posteriori Threshold Pivoting", journal = j-SIAM-J-SCI-COMP, volume = "42", number = "2", pages = "C23--C42", month = "????", year = "2020", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/18M1225963", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F50 (65F05 68W10)", MRnumber = "4074015", bibdate = "Thu May 28 12:20:36 MDT 2020", bibsource = "http://epubs.siam.org/toc/sjoce3/42/2; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2020", } @Article{Duff:2023:RRB, author = "Iain Duff and Philippe Leleux and Daniel Ruiz and F. Sukru Torun", title = "Row Replicated Block {Cimmino}", journal = j-SIAM-J-SCI-COMP, volume = "45", number = "4", pages = "C207--C232", month = "????", year = "2023", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/22M1487710", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F50 (05C70 65F10 68W10)", MRnumber = "4612148", bibdate = "Sat Sep 23 14:31:06 2023", bibsource = "http://epubs.siam.org/toc/sjoce3/45,/4; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", URL = "https://epubs.siam.org/doi//doi/10.1137/22M1487710", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", }

%%% ==================================================================== %%% Additional references needed to satisfy citation cross-references %%% above:

@Proceedings{Duff:1979:CGM, editor = "Iain S. Duff", booktitle = "Conjugate gradient methods and similar techniques", title = "Conjugate gradient methods and similar techniques", type = "Report", institution = inst-HARWELL, publisher = pub-HMSO, address = pub-HMSO:adr, year = "1979", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "AERE R9636", acknowledgement = ack-nhfb, } @Proceedings{Duff:1979:SMP, editor = "Iain S. Duff and G. W. Stewart", booktitle = "{Sparse Matrix. Proceedings 1978: Symposium held in the Hyatt Regency, Knoxville, Tennessee on November 2--3, 1978}", title = "{Sparse Matrix. Proceedings 1978: Symposium held in the Hyatt Regency, Knoxville, Tennessee on November 2--3, 1978}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xvi + 334", year = "1979", ISBN = "0-89871-160-6", ISBN-13 = "978-0-89871-160-8", LCCN = "QA188 S9 1978", MRclass = "65-06", MRnumber = "81f:65003", bibdate = "Wed Jan 17 09:24:26 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", URL = "http://www.gbv.de/dms/hbz/toc/ht000381636.pdf", acknowledgement = ack-nhfb, tableofcontents = "Introduction / vii \\ Solution of Sparse Stiffness Matrices for Structural Systems / Edward L. Wilson / 1 \\ Linear Programming Problems Arising from Partial Differential Equations / Dianne P. O'Leary / 25 \\ Shifted Incomplete Cholesky Factorization / Thomas A. Manteuffel / 41 \\ Algorithmic Aspects of the Multi-Level Solution of Finite Element Equations / Randolph E. Bank and A. H. Sherman / 62 \\ LASCALA --- A Language for Large Scale Linear Algebra / A. W. Westerberg and T. J. Berna / 90 \\ Practical Comparisons of Codes for the Solution of Sparse Linear Systems / Iain S. Duff / 107 \\ Software for Sparse Gaussian Elimination with Limited Core Storage / S. C. Eisenstat, M. H. Schultz, and A. H. Sherman / 135 \\ A Quotient Graph Model for Symmetric Factorization / Alan George and Joseph W. H. Liu / 154 \\ The Use of Sparse Matrices for Image Reconstruction from Projections / Gabor T. Herman / 176 \\ Row-Generation Methods for Feasibility and Optimization Problems Involving Sparse Matrices and Their Applications \\ Yair Censor and Gabor T. Herman / 197 \\ Lanczos and the Computation in Specified Intervals of the Spectrum of Large, Sparse Real Symmetric Matrices \\ Jane Cullum and Ralph A. Willoughby / 220 \\ Systolic Arrays (for VLSI) / H. T. Kung and Charles E. Leiserson / 256 \\ A Basis Factorization Method for Block Triangular Linear Programs / Andre F. Perold and George B. Dantzig / 283 \\ On Combining the Schemes of Reid and Saunders for Sparse LP Bases / David M. Gay / 313", } @Proceedings{Fosdick:1979:PEN, editor = "Lloyd Dudley Fosdick", booktitle = "{Performance evaluation of numerical software: proceedings of the IFIP TC 2.5 Working Conference on Performance Evaluation of Numerical Software}", title = "{Performance evaluation of numerical software: proceedings of the IFIP TC 2.5 Working Conference on Performance Evaluation of Numerical Software}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xi + 335", year = "1979", ISBN = "0-444-85330-8", ISBN-13 = "978-0-444-85330-1", LCCN = "QA297 .I18 1978", bibdate = "Mon Jan 2 12:24:58 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "IFIP TC 2.5 Working Conference on Performance Evaluation of Numerical Software (1978: Baden, Austria)", remark = "Organized by IFIP Technical Committee 2.5, Programming (Numerical Software), International Federation for Information Processing.", subject = "Numerical analysis; Computer programs; Evaluation; Congresses", } @Book{Absi:1980:NME, editor = "{\'E}lie Absi and R. Glowinski", title = "Numerical methods for engineering: 2nd International Congress = {M}{\'e}thodes num{\'e}riques dans les sciences de l'ing{\'e}nieur: 2e Congr{\`e}s international", publisher = pub-DUNOD, address = pub-DUNOD:adr, pages = "????", year = "1980", ISBN = "2-04-012165-X (vol. 1), 2-04-012194-3 (vol. 2)", ISBN-13 = "978-2-04-012165-5 (vol. 1), 978-2-04-012194-5 (vol. 2)", LCCN = "TA329 .C64 1980", bibdate = "Mon Jan 2 12:28:07 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "Colloque international sur les m{\'e}thodes num{\'e}riques dans les sciences de l'ing{\'e}nieur (2nd: 1980: Paris)", remark = "English or French.. Organized by the Groupe pour l'avancement des m{\'e}thodes num{\'e}riques dans les sciences de l'ing{\'e}nieur.", subject = "Engineering mathematics; Congresses; Numerical analysis", } @Proceedings{Glowinski:1980:CMA, editor = "R. Glowinski and Jacques Louis Lions", booktitle = "{Computing methods in applied sciences and engineering: proceedings of the fourth International Symposium on Computing Methods in Applied Sciences and Engineering, Versailles, France, December 10--14, 1979}", title = "{Computing methods in applied sciences and engineering: proceedings of the fourth International Symposium on Computing Methods in Applied Sciences and Engineering, Versailles, France, December 10--14, 1979}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "ix + 724", year = "1980", ISBN = "0-444-86008-8", ISBN-13 = "978-0-444-86008-8", LCCN = "TA345 .I57 1979", bibdate = "Mon Jan 2 12:32:58 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "International Symposium on Computing Methods in Applied Sciences and Engineering, 4th, Versailles, 1979.", remark = "English or French.", subject = "Engineering; Data processing; Congresses; Science", } @Proceedings{Duff:1981:SMT, editor = "Iain S. Duff", booktitle = "Sparse Matrices and Their Uses: Based on the Proceedings of the {IMA} Numerical Analysis Group Conference \slash{} Organised by the Institute of Mathematics and Its Applications and held at the University of Reading, 9th--11th July, 1980", title = "Sparse Matrices and Their Uses: Based on the Proceedings of the {IMA} Numerical Analysis Group Conference \slash{} Organised by the Institute of Mathematics and Its Applications and held at the University of Reading, 9th--11th July, 1980", publisher = pub-AP, address = pub-AP:adr, pages = "xii + 387", year = "1981", ISBN = "0-12-223280-1", ISBN-13 = "978-0-12-223280-0", LCCN = "QA188 .S63", MRclass = "65-06 (65Fxx)", MRnumber = "83i:65003", bibdate = "Wed Jan 17 09:22:32 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Proceedings{CRI:1982:SEC, editor = "{CRI}", booktitle = "{Science, Engineering and the CRAY-1, Proceedings of a Cray Research Inc. Symposium}", title = "{Science, Engineering and the CRAY-1, Proceedings of a Cray Research Inc. Symposium}", publisher = "{Cray Research, Inc.}", year = "1982", bibdate = "Wed Sep 22 10:47:57 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Book{Hennart:1982:NAP, editor = "J. P. (Jean Pierre) Hennart", booktitle = "{Numerical analysis: proceedings of the third IIMAS workshop held at Cocoyoc, Mexico, January 1981}", title = "{Numerical analysis: proceedings of the third IIMAS workshop held at Cocoyoc, Mexico, January 1981}", volume = "909", publisher = pub-SV, address = pub-SV:adr, pages = "vii + 247", year = "1982", ISBN = "0-387-11193-X (paperback)", ISBN-13 = "978-0-387-11193-3 (paperback)", LCCN = "QA3 .L28 vol. 909; QA297", bibdate = "Mon Jan 2 12:36:08 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", series = "Lecture notes in mathematics", acknowledgement = ack-nhfb, remark = "Papers presented at the Third Workshop on Numerical Analysis held in Cocoyoc, Morelos, Mexico, January 19--23, 1981.", subject = "Numerical analysis; Congresses", } @Book{Trottenberg:1982:MMP, editor = "U. Trottenberg and W. Hackbusch", booktitle = "{Multigrid methods: proceedings of the conference held at K{\"o}ln-Porz, November 23--27, 1981}", title = "{Multigrid methods: proceedings of the conference held at K{\"o}ln-Porz, November 23--27, 1981}", volume = "960", publisher = pub-SV, address = pub-SV:adr, pages = "vii + 652", year = "1982", ISBN = "3-540-11955-8 (Berlin), 0-387-11955-8 (New York)", ISBN-13 = "978-3-540-11955-5 (Berlin), 978-0-387-11955-7 (New York)", LCCN = "QA3 .L28 no.960; QA3 .L35; QA379 .M84 1981; QA3 .L28; QA1 .L471; QA3 .L4", bibdate = "Mon Jan 2 12:51:20 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; melvyl.cdlib.org:210/CDL90", series = ser-LECT-NOTES-MATH, acknowledgement = ack-nhfb, remark = "Introductory and specific scientific papers presented at the International Conference on Multigrid Methods.", subject = "Boundary value problems; Congresses; Differential equations, Elliptic; Nets (Mathematics)", } @Proceedings{Watson:1982:NAP, editor = "George Alistair Watson", booktitle = "{Numerical Analysis: Proceedings of the 9th Biennial Conference, held at Dundee, Scotland, June 23--26, 1981}", title = "{Numerical Analysis: Proceedings of the 9th Biennial Conference, held at Dundee, Scotland, June 23--26, 1981}", volume = "912", publisher = pub-SV, address = pub-SV:adr, bookpages = "xi + 245", pages = "xi + 245", year = "1982", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0093144", ISBN = "0-387-11199-9 (softcover), 3-540-11199-9 (softcover), 3-540-39009-X (e-book)", ISBN-13 = "978-0-387-11199-5 (softcover), 978-3-540-11199-3 (softcover), 978-3-540-39009-1 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L28 no. 912; QA1 .L471; QA297 .D915n 1981", bibdate = "Sat Oct 29 15:16:39 1994", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib; library.ox.ac.uk:210/ADVANCE; melvyl.cdlib.org:210/CDL90", series = ser-LECT-NOTES-MATH, URL = "http://www.springerlink.com/content/978-3-540-39009-1", acknowledgement = ack-nhfb, subject = "Analisi numerica; Congressi; 1981; Dundee; Numerical analysis; Congresses", tableofcontents = "P. H. Calamai and A. R. Conn / A second-order method for solving the continuous multifacility location problem / 1--25 \\ M. P. Cullinan and M. J. D. Powell / Data smoothing by divided differences / 26--37 \\ G. Dahlquist / On the control of the global error in stiff initial value problems / 38--49 \\ L. M. Delves / Chebyshev methods for integral and differential equations / 50--63 \\ J. Douglas, Jr. / Simulation of miscible displacement in porous media by a modified method of characteristic procedure / 64--70 \\ I. S. Duff / Full matrix techniques in sparse Gaussian elimination / 71--84 \\ R. Fletcher / Second order corrections for non-differentiable optimization / 85--114 \\ C. W. Gear and K. A. Gallivan / Automatic methods for highly oscillatory ordinary differential equations / 115--124 \\ G. H. Golub and M. L. Overton / Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations / 125--139 \\ J. G. Hayes: Curved knot lines and surfaces with ruled segments / 140--156 \\ P. J. van der Houwen / On the time integration of parabolic differential equations / 157--168 \\ T. E. Hull / Precision control, exception handling and a choice of numerical algorithms / 169--178 \\ P. Lancaster / Generalized Hermitian matrices: a new frontier for numerical analysis? / 179--189 \\ R. J. Y. McLeod / Some applications of geometry in numerical analysis / 190--229 \\ L. B. Wahlbin / A quasioptimal estimate in piecewise polynomial Galerkin approximation of parabolic problems / 230 --245 \\ Back matter / 249--251", } @Proceedings{Pereyra:1983:NMP, editor = "V. (Victor) Pereyra and A. (Alfonso) Reinoza", booktitle = "{Numerical methods: proceedings of the international workshop held at Caracas, June 14--18, 1982}", title = "{Numerical methods: proceedings of the international workshop held at Caracas, June 14--18, 1982}", volume = "1005", publisher = pub-SV, address = pub-SV:adr, pages = "296", year = "1983", ISBN = "0-387-12334-2", ISBN-13 = "978-0-387-12334-9", LCCN = "QA3 .L35; QA297 .N86 1982; QA3 .L28 no. 1005; QA3 .L28; QA1 .L471; QA3 .L4", bibdate = "Mon Jan 2 12:53:58 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; melvyl.cdlib.org:210/CDL90", series = ser-LECT-NOTES-MATH, acknowledgement = ack-nhfb, remark = "Workshop on Numerical Methods \ldots{} held \ldots{} Caracas, Venezuela, June 14--18, 1982 \ldots{} sequel to two \ldots{} meetings held in Caracas in 1974 and 1980, and to three meetings held in \ldots{} Mexico.", subject = "Numerical analysis; Congresses", } @Book{Cowell:1984:SDM, editor = "Wayne R. Cowell", title = "Sources and Development of Mathematical Software", publisher = pub-PH, address = pub-PH:adr, pages = "xii + 404", year = "1984", ISBN = "0-13-823501-5", ISBN-13 = "978-0-13-823501-7", LCCN = "QA76.95 .S68 1984", bibdate = "Tue Dec 14 22:44:45 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "Prentice-Hall Series in Computational Mathematics, Cleve Moler, Advisor", acknowledgement = ack-nhfb, } @Book{Engquist:1984:PSM, editor = "Bj{\"o}rn Engquist and Tom Smedsaas and N. N. (Nikolai Nikolaevich) Yanenko", booktitle = "{PDE software: modules, interfaces, and systems: proceedings of the IFIP TC 2 Working Conference on PDE Software---Modules, Interfaces, and Systems, S{\"o}derk{\"o}ping, Sweden, 22--26 August, 1983}", title = "{PDE software: modules, interfaces, and systems: proceedings of the IFIP TC 2 Working Conference on PDE Software---Modules, Interfaces, and Systems, S{\"o}derk{\"o}ping, Sweden, 22--26 August, 1983}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "ix + 453", year = "1984", ISBN = "0-444-87620-0", ISBN-13 = "978-0-444-87620-1", LCCN = "QA377 .I44 1983; QA377.I44", bibdate = "Mon Jan 2 12:57:12 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; library.mit.edu:9909/mit01", acknowledgement = ack-nhfb, meetingname = "IFIP TC 2 Working Conference on PDE Software: Modules, Interfaces, and Systems (1983: S{\"o}derk{\"o}ping, Sweden)", remark = "Dedicated to the memory of N. N. Yanenko.", subject = "Differential equations, Partial; Computer programs; Congresses; Numerical solutions", } @Proceedings{Glowinski:1984:CMA, editor = "R. Glowinski and J.-L. Lions", booktitle = "Computing Methods in Applied Sciences and Engineering, {VI}: Proceedings of the Sixth International Symposium on Computing Methods in Applied Sciences and Engineering, Versailles, France, December 12--16, 1983", title = "Computing Methods in Applied Sciences and Engineering, {VI}: Proceedings of the Sixth International Symposium on Computing Methods in Applied Sciences and Engineering, Versailles, France, December 12--16, 1983", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xiii + 728", year = "1984", ISBN = "0-444-87597-2", ISBN-13 = "978-0-444-87597-6", LCCN = "QA297 .I57 1983", bibdate = "Mon Jan 15 11:05:19 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Book{Golub:1984:SNA, editor = "Gene H. Golub", booktitle = "Studies in Numerical Analysis", title = "Studies in Numerical Analysis", volume = "24", publisher = pub-MATH-ASSOC-AMER, address = pub-MATH-ASSOC-AMER:adr, pages = "x + 415", year = "1984", ISBN = "0-88385-126-1 (v. 1), 0-88385-100-8 (set)", ISBN-13 = "978-0-88385-126-5 (v. 1), 978-0-88385-100-5 (set)", LCCN = "QA297 .S83 1984", MRclass = "65-06", MRnumber = "88i:65007", bibdate = "Sat Oct 22 17:16:36 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib; https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", series = "Studies in mathematics", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", keywords = "numerical analysis", tableofcontents = "Gene H. Golub / Preface \\ James H. Wilkinson / The perfidious polynomial \\ Jorge J. Mor{\'e} and D. C. Sorensen / Newton's method \\ Iain S. Duff / Research directions in sparse matrix computations \\ Walter Gautschi / Questions of numerical conditions related to polynomials \\ Paul Concus, Gene H. Golub, and Dianne P. O'Leary / A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations \\ J. Barkley Rosser / Solving differential equations on a hand held programmable calculator \\ V. Pereyra / Finite difference solution of boundary value problems in ordinary differential equations \\ Dennis C. Jespersen / Multigrid methods for partial differential equations \\ Paul N. Swarztrauber / Fast Poisson solvers \\ Peter Henrici / Poisson's equation in a hypercube: discrete Fourier methods, eigenfunction expansions, Pad{\'e} approximation to eigenvalues", } @Book{Kowalik:1984:HSC, editor = "Janusz S. Kowalik", booktitle = "{High-speed computation: Proceedings of the NATO Advanced Research Workshop on High-Speed Computation, held at J{\"u}lich, Federal Republic of Germany, June 20--22, 1983}", title = "{High-speed computation: Proceedings of the NATO Advanced Research Workshop on High-Speed Computation, held at J{\"u}lich, Federal Republic of Germany, June 20--22, 1983}", volume = "7", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 441", year = "1984", ISBN = "0-387-12885-9", ISBN-13 = "978-0-387-12885-6", LCCN = "QA76.6 .N376 1984", bibdate = "Mon Jan 2 13:01:39 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", series = "NATO ASI series. Series F, Computer and systems sciences", acknowledgement = ack-nhfb, meetingname = "NATO Advanced Research Workshop on High-Speed Computation (1983 : J{\"u}lich, Germany)", remark = "Published in cooperation with NATO Scientific Affairs Division.", subject = "Parallel processing (Electronic computers); Congresses; Electronic digital computers; Multiprocessors", } @Proceedings{Duff:1985:VPP, editor = "Iain S. Duff and J. K. Reid", booktitle = "Vector and Parallel Processors in Computational Science {II}: Proceedings of the Second International Conference on Vector and Parallel Processors in Computational Science, Oxford, 28--31 August 1984", title = "Vector and Parallel Processors in Computational Science {II}: Proceedings of the Second International Conference on Vector and Parallel Processors in Computational Science, Oxford, 28--31 August 1984", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xi + 386", year = "1985", ISBN = "0-444-86974-3", ISBN-13 = "978-0-444-86974-6", LCCN = "TK7885.A1 I564 1984", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Proceedings{Evans:1985:SA, editor = "David J. Evans", booktitle = "Sparsity and its applications", title = "Sparsity and its applications", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "x + 338", year = "1985", ISBN = "0-521-26272-0", ISBN-13 = "978-0-521-26272-9", LCCN = "QA188 .S58 1985", bibdate = "Mon Jan 2 13:05:54 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/cam031/84045714.html", acknowledgement = ack-nhfb, remark = "Based on a series of lectures delivered at the Meeting on the Advanced Research Topic ``Sparsity and Its Applications,'' held April 1983 at the University of Technology, Loughborough, England.", subject = "Sparse matrices; Addresses, essays, lectures; Data processing", } @Proceedings{Handler:1986:CCA, editor = "Wolfgang Handler and D. Haupt and R. Jeltsch and W. Juling and O. Lange", booktitle = "{CONPAR 86: Conference on Algorithms and Hardware for Parallel Processing, Aachen, September 17--19, 1986: proceedings}", title = "{CONPAR 86: Conference on Algorithms and Hardware for Parallel Processing, Aachen, September 17--19, 1986: proceedings}", volume = "237", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 418", year = "1986", CODEN = "LNCSD9", ISBN = "0-387-16811-7 (USA)", ISBN-13 = "978-0-387-16811-1 (USA)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA76.5 .C61941 1986", bibdate = "Fri Apr 12 07:27:43 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = ser-LNCS, acknowledgement = ack-nhfb, keywords = "parallel processing (electronic computers) --- congresses", } @Proceedings{Deuflhard:1987:LSS, editor = "P. (Peter) Deuflhard and Bj{\"o}rn Engquist", booktitle = "Large scale scientific computing", title = "Large scale scientific computing", volume = "7", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xii + 388", year = "1987", ISBN = "0-8176-3355-3", ISBN-13 = "978-0-8176-3355-4", LCCN = "Q183.9 .L37 1987", bibdate = "Mon Jan 2 13:10:09 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", price = "US\$30.00", series = "Progress in scientific computing", acknowledgement = ack-nhfb, remark = "Proceedings of a meeting on large scale scientific computing held at the Oberwolfach Mathematical Institute, July 14-19, 1985, under the auspices of the Sonderforschungsbereich 123 of the Univ. of Heidelberg.", subject = "Science; Data processing; Congresses; Engineering; Mathematical models; Computers", } @Proceedings{Iserles:1987:SAN, editor = "A. Iserles and M. J. D. Powell", booktitle = "{State of the Art in Numerical Analysis. Proceedings of the Joint IMA\slash SIAM Conference held at the University of Birmingham, 14--18 April 1986}", title = "{State of the Art in Numerical Analysis. Proceedings of the Joint IMA\slash SIAM Conference held at the University of Birmingham, 14--18 April 1986}", volume = "9", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "x + 719", year = "1987", ISBN = "0-19-853614-3", ISBN-13 = "978-0-19-853614-7", LCCN = "QA297.J65 1986", bibdate = "Mon Sep 9 14:56:14 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib", series = "The Institute of Mathematics and Its Applications conference series; new series", URL = "http://www.gbv.de/dms/hbz/toc/ht002967923.pdf; http://zbmath.org/?q=an:0611.00024", ZMnumber = "0611.00024", acknowledgement = ack-nhfb, confdate = "14--18 April 1986", conflocation = "Birmingham, UK", confsponsor = "Inst. Math. Appl.; SIAM", pubcountry = "UK", tableofcontents = "Contributors / / xiii \\ 1. Eigenvalue problems / J. H. Wilkinson / 1 \\ 2. Numerical linear algebra in statistical computing / N. J. Higham and G. W. Stewart / 41 \\ 3. Sparse matrices / J. K. Reid / 59 \\ 4. Multivariate approximation / Carl de Boor / 87 \\ 5. Data approximation by splines in one and two independent variables / M. G. Cox / 111 \\ 6. Methods for best approximation and regression problems / G. A. Watson / 139 \\ 7. Branch cuts for complex elementary functions / W. Kahan / 165 \\ 8. Recent developments in linear and quadratic programming / R. Fletcher / 213 \\ 9. Solving systems of nonlinear equations by tensor methods / R. B. Schnabel and P. D. Frank / 245 \\ 10. Numerical methods for bifurcation problems / A. D. Jepson and A. Spence / 273 \\ 11. On the iterative solution of differential and integral equations using secant updating techniques / A. Griewank / 299 \\ 12. Methods for nonlinear constraints in optimization calculations / M. J. D. Powell / 325 \\ 13. The influence of vector and parallel processors on numerical analysis / I. S. Duff / 359 \\ 14. Developments in stability theory for ordinary differential equations / J. D. Lambert / 409 \\ 15. Stiff ODE initial value problems and their solution / A. R. Curtis / 433 \\ 16. Order stars and stability / G. Wanner / 451 \\ 17. The state of the art in the numerical treatment of integral equations / C. T. H. Baker / 473 \\ 18. Strongly elliptic boundary integral equations / W. L. Wendland / 511 \\ 19. Collocation methods for one-dimensional Fredholm and Volterra integral equations / H. Brunner / 563 \\ 20. Numerical methods for free and moving boundary problems / C. W. Cryer / 601 \\ 21. Multigrid methods for elliptic equations / J. Walsh / 623 \\ 22. Galerkin finite element methods and their generalizations / K. W. Morton / 645 \\ 23. Recent developments in the numerical solution of nonlinear conservation laws / S. Osher and P. K. Sweby / 681 \\ Index / 701", } @Book{Jesshope:1987:MAP, editor = "C. R. Jesshope", title = "Major advances in parallel processing", publisher = pub-GOWER, address = pub-GOWER:adr, pages = "xxi + 392", year = "1987", ISBN = "0-291-39728-X", ISBN-13 = "978-0-291-39728-7", LCCN = "QA76.5 .M1914 1987", bibdate = "Mon Jan 2 15:32:19 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", series = "The Technical Press--Unicom applied information technology series", acknowledgement = ack-nhfb, subject = "Parallel processing (Electronic computers)", } @Proceedings{Kenway:1987:CPP, editor = "R. D. (Richard D.) Kenway and G. S. (G. Stuart) Pawley", booktitle = "{Computational physics: proceedings of the Thirty-second Scottish Universities' Summer School in Physics, St. Andrews, August 1987: a NATO Advanced Study Institute}", title = "{Computational physics: proceedings of the Thirty-second Scottish Universities' Summer School in Physics, St. Andrews, August 1987: a NATO Advanced Study Institute}", publisher = pub-SUSSP, address = pub-SUSSP:adr, pages = "483", year = "1987", ISBN = "0-905945-15-8", ISBN-13 = "978-0-905945-15-6", LCCN = "QC19.2 .S26 1987", bibdate = "Mon Jan 2 15:29:11 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", series = "SUSSP publications", acknowledgement = ack-nhfb, meetingname = "Scottish Universities' Summer School in Physics (32nd: 1987: St. Andrews, Scotland)", remark = "A NATO Advanced Study Institute.", subject = "Mathematical physics; Congresses; Numerical analysis", } @Proceedings{Houstis:1988:SIC, editor = "E. N. Houstis and T. S. Papatheodorou and C. D. Polychronopoulos", booktitle = "{Supercomputing: 1st International Conference, Athens, Greece, June 8--12, 1987: proceedings}", title = "{Supercomputing: 1st International Conference, Athens, Greece, June 8--12, 1987: proceedings}", volume = "297", publisher = pub-SV, address = pub-SV:adr, pages = "x + 1093", year = "1988", CODEN = "LNCSD9", ISBN = "0-387-18991-2, 3-540-18991-2", ISBN-13 = "978-0-387-18991-8, 978-3-540-18991-6", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA267.A1 L43 no.297", bibdate = "Mon Sep 9 14:56:14 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/super.bib; University of California MELVYL catalog.", note = "The conference was organized and sponsored by the Computer Technology Institute (C.T.I.) of Greece.", series = ser-LNCS, acknowledgement = ack-nhfb, confdate = "8--12 June 1987", conflocation = "Athens, Greece", confsponsor = "Comput. Technol. Inst. Greece", keywords = "supercomputers --- congresses", pubcountry = "West Germany", } @Proceedings{Paul:1988:PSC, editor = "George Paul and George S. Almasi", booktitle = "{Parallel systems and computation: proceedings of the 1986 IBM Europe Institute---Seminar on Parallel Computing, Oberlech, Austria, August 11--15, 1986}", title = "{Parallel systems and computation: proceedings of the 1986 IBM Europe Institute---Seminar on Parallel Computing, Oberlech, Austria, August 11--15, 1986}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "x + 294", year = "1988", ISBN = "0-444-70371-3", ISBN-13 = "978-0-444-70371-2", LCCN = "QA76.5 .I147 1986", bibdate = "Mon Jan 2 15:34:19 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "IBM Europe Institute--Seminar on Parallel Computing (1986: Oberlech, Austria)", subject = "Parallel processing (Electronic computers); Congresses", } @Proceedings{Anonymous:1989:SPC, editor = "Anonymous", booktitle = "Software for parallel computers: Exploiting parallelism through software environments, tools, algorithms and application libraries; Tutorials and Workshops. {Novotel, Hammersmith, London, 13--15 June 1989}", title = "Software for parallel computers: Exploiting parallelism through software environments, tools, algorithms and application libraries; Tutorials and Workshops. {Novotel, Hammersmith, London, 13--15 June 1989}", publisher = "Unicom Seminars Ltd.", address = "Uxbridge, Middlesex, UK", pages = "v + 242", year = "1989", ISBN = "????", ISBN-13 = "????", LCCN = "QA76.58 .S64 1989", bibdate = "Mon Jan 2 11:40:50 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; melvyl.cdlib.org:210/CDL90; z3950.gbv.de:20011/gvk", acknowledgement = ack-nhfb, meetingdate = "13--15 June 1989", } @Book{Carey:1989:PSM, editor = "Graham F. Carey", title = "Parallel supercomputing: methods, algorithms and applications", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "x + 287", year = "1989", ISBN = "0-471-92436-9", ISBN-13 = "978-0-471-92436-4", LCCN = "M89.E02452; QA76.6", bibdate = "Mon Jan 2 15:42:42 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; library.ox.ac.uk:210/ADVANCE", series = "Wiley series in parallel computing", acknowledgement = ack-nhfb, subject = "Parallel programming (Computer science)", } @Book{Cosnard:1989:PDA, editor = "Michel Cosnard and Y. Robert and P. Quinton and M. Raynal", title = "{Parallel and distributed algorithms: proceedings of the International Workshop on Parallel and Distributed Algorithms, Chateau de Bonas, Gers, France, 3--6 October, 1988}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xiv + 343", year = "1989", ISBN = "0-444-87367-8", ISBN-13 = "978-0-444-87367-5", LCCN = "QA9.58; 95F", bibdate = "Mon Jan 2 15:37:50 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; library.ox.ac.uk:210/ADVANCE", acknowledgement = ack-nhfb, meetingname = "International Workshop on Parallel and Distributed Algorithms (1988 : Gers, France)", subject = "Algorithms; Congresses; Parallel processing (Electronic computers)", } @Book{Delhaye:1989:HPC, editor = "J.-L. (Jean-Lo{\"\i}c) Delhaye and E. Gelenbe", booktitle = "{High performance computing: proceedings of the International Symposium on High Performance Computing, Montpellier, France, 22--24 March, 1989}", title = "{High performance computing: proceedings of the International Symposium on High Performance Computing, Montpellier, France, 22--24 March, 1989}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "x + 457", year = "1989", ISBN = "0-444-88043-7", ISBN-13 = "978-0-444-88043-7", LCCN = "QA76.5.I585; QA76.5 .I585 1989", bibdate = "Mon Jan 2 15:40:07 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; library.mit.edu:9909/mit01", acknowledgement = ack-nhfb, meetingname = "International Symposium on High Performance Computing (1989: Montpellier, France)", subject = "Electronic data processing; Congresses; Supercomputers", } @Proceedings{Dongarra:1989:VPC, editor = "Jack J. Dongarra and Iain S. Duff and Patrick W. Gaffney and Sean {StJ.} McKee", booktitle = "Vector and Parallel Computing: Issues in Applied Research and Development", title = "Vector and Parallel Computing: Issues in Applied Research and Development", publisher = pub-EH, address = pub-EH:adr, year = "1989", ISBN = "0-7458-0756-9 (Ellis Horwood), 0-470-21571-2 (Halsted Press)", ISBN-13 = "978-0-7458-0756-0 (Ellis Horwood), 978-0-470-21571-5 (Halsted Press)", LCCN = "QA76.5 .V398 1989", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", price = "UK\pounds 29.95", acknowledgement = ack-nhfb, } @Book{Evans:1989:PCM, editor = "David J. Evans and C. Nodari Sutti", booktitle = "{Parallel computing: methods, algorithms, and applications: proceedings of the International Meeting on Parallel Computing, Verona, Italy, 28--30 September 1988}", title = "{Parallel computing: methods, algorithms, and applications: proceedings of the International Meeting on Parallel Computing, Verona, Italy, 28--30 September 1988}", publisher = pub-AH, address = pub-AH:adr, pages = "x + 287", year = "1989", ISBN = "0-85274-224-X", ISBN-13 = "978-0-85274-224-2", LCCN = "QA76.5 .I5775 1988", bibdate = "Mon Jan 2 15:45:00 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "International Meeting on Parallel Computing (1988: Verona, Italy)", subject = "Parallel processing (Electronic computers); Congresses", } @Proceedings{Rodrigue:1989:PPS, editor = "G. Rodrigue", booktitle = "Parallel processing for scientific computing", title = "Parallel processing for scientific computing", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "428", year = "1989", ISBN = "0-89871-228-9", ISBN-13 = "978-0-89871-228-5", LCCN = "QA76.5 .S515 1987", bibdate = "Mon Jan 2 13:12:21 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "SIAM Conference on Parallel Processing for Scientific Computing (3rd: 1987: Los Angeles, CA)", remark = "Proceedings of the Third SIAM Conference on Parallel Processing for Scientific Computing, Los Angeles, California, December 1--4, 1987. This conference was sponsored by the SIAM Activity Group on Supercomputing.", subject = "Parallel processing (Electronic computers); Congresses", } @Proceedings{Cox:1990:RNC, editor = "M. G. Cox and S. Hammarling", booktitle = "Reliable numerical computation", title = "Reliable numerical computation", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xvi + 339", year = "1990", ISBN = "0-19-853564-3", ISBN-13 = "978-0-19-853564-5", LCCN = "QA297 .R435 1990", MRclass = "65-06", MRnumber = "91k:65011", bibdate = "Fri Dec 20 18:34:52 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib", note = "Based on papers from a conference in honour of the late James Hardy Wilkinson (died Sunday 5th October 1986) held at National Physical Laboratory, Teddington, Middlesex, UK, 8th--10th July 1987.", price = "US\$75.00", abstract = "Published to honor the late Jim Wilkinson, the respected pioneer in numerical analysis, this book includes contributions from his colleagues and collaborators, leading experts in their own right. The breadth of Wilkinson's research is reflected in the topics covered, which include linear algebra, error analysis and computer arithmetic algorithms, and mathematical software. An invaluable reference, the book is completely up-to-date with the latest developments on the Lanczos algorithm, QR-factorizations, error propagation models, parameter estimation problems, sparse systems, and shape-preserving splines. Reflecting the current growth and vitality of this field, the volume is an essential reference for all numerical analysts.", acknowledgement = ack-nhfb, tableofcontents = "List of contributors / / xv \\ Prologue. Reflections on Jim Wilkinson / Gene Golub / 1 \\ 1. Misconvergence in the Lanczos algorithm / Beresford Parlett / 7 \\ 2. The Lanczos algorithm for a pure imaginary Hermitian matrix / Charles L. Lawson and Kajal K. Gupta / 25 \\ 3. Nearest defective matrices and the geometry of ill-conditioning / James Demmel / 35 \\ 4. Computational aspects of the Jordan canonical form / Theo Beelen and Paul Van Dooren / 57 \\ 5. Some aspects of generalized QR factorizations / C. C. Paige / 73 \\ 6. The multifrontal method in a parallel environment / I. S. Duff, N. I. M. Gould, M. Lescrenier, and J. K. Reid / 93 \\ 7. A Schur-complement method for sparse quadratic programming / Philip E. Gill, Walter Murray, Michael A. Saunders, and Margaret H. Wright / 113 \\ 8. A probabilistic round-off error propagation model. Application to the eigenvalue problem / Fran{\c{c}}oise Chatelin and Marie Christine Brunet / 139 \\ 9. Analysis of the Cholesky decomposition of a semi-definite matrix / Nicholas J. Higham / 161 \\ 10. On the conditioning of parameter estimation problems / James M. Varah / 187 \\ 11. Rounding errors in algebraic process-in level-index arithmetic / F. W J. Olver / 197 \\ 12. Experiments in tearing large sparse systems / Mario Arioli and lain S. Duff / 207 \\ 13. The least-squares solution of linear equations with block-angular observation matrix / M. G. Cox / 227 \\ 14. An iterative method for solving linear inequalities / G. W Stewart / 241 \\ 15. Iterative refinement and reliable computing / Ake Bjorck / 249 \\ 16. Software for shape-preserving spline interpolation / Christian H. Reinsch / 267 \\ 17. Experiences with some software engineering practices in numerical software / D. A. H. Jacobs and G. Markham / 277 \\ 18. Evolution of numerical software for dense linear algebra / Jack Dongarra and Sven Hammarling / 297 \\ Epilogue. Jim Wilkinson: some after-dinner sentiments / L. Fox / 329", } @Proceedings{Dongarra:1990:PPS, editor = "Jack Dongarra and Paul Messina and Danny C. Sorensen and Robert G. Voigt", key = "DongarraMessinaSorensenVoigt90", booktitle = "{Parallel Processing for Scientific Computing: Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing, Chicago, Illinois, December 11--13, 1989}", title = "{Parallel Processing for Scientific Computing: Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing, Chicago, Illinois, December 11--13, 1989}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "454", year = "1990", ISBN = "0-89871-262-9", ISBN-13 = "978-0-89871-262-9", LCCN = "QA76.58.S55 1989", MRclass = "00B25 (65-06 68-06 68Q10)", MRnumber = "91k:00041", bibdate = "Thu Dec 19 14:26:07 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Proceedings{Evans:1990:PCP, editor = "David J. Evans and G. R. (Gerhard Robert) Joubert and Frans J. Peters", booktitle = "{Parallel Computing 89: Proceedings of the international conference, Leiden, 29 August--1 September 1989}", title = "{Parallel Computing 89: Proceedings of the international conference, Leiden, 29 August--1 September 1989}", volume = "2", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xiv + 630", year = "1990", ISBN = "0-444-88386-X", ISBN-13 = "978-0-444-88386-5", LCCN = "QA76.5 .P31475 1990", bibdate = "Mon Jan 2 16:10:27 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", series = "Advances in parallel computing", acknowledgement = ack-nhfb, meetingname = "Parallel Computing 89 (1989: Leiden, Netherlands)", remark = "Sponsored by the Parallel Computing Society.", subject = "Parallel processing (Electronic computers); Congresses", } @Proceedings{IEEE:1990:PSN, key = "Supercomputing'90", booktitle = "{Proceedings, Supercomputing '90: November 12--16, 1990, New York Hilton at Rockefeller Center, New York, NY, USA}", title = "{Proceedings, Supercomputing '90: November 12--16, 1990, New York Hilton at Rockefeller Center, New York, NY, USA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xxv + 982", year = "1990", ISBN = "0-8186-2056-0 (IEEE), 0-89791-412-0 (ACM)", ISBN-13 = "978-0-8186-2056-0 (IEEE), 978-0-89791-412-3 (ACM)", LCCN = "QA76.5 .S894378 1990", bibdate = "Mon Jan 15 11:05:53 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Proceedings{JAERI:1990:FIC, editor = "{Japan Atomic Energy Research Institute}", booktitle = "{The First International Conference on Supercomputing in Nuclear Applications (SNA '90), March 12--16, 1990, Mito, Japan: proceedings}", title = "{The First International Conference on Supercomputing in Nuclear Applications (SNA '90), March 12--16, 1990, Mito, Japan: proceedings}", publisher = "Nuclear Energy Data Center", address = "Tokai-mura, Japan", pages = "xxii + 667", year = "1990", LCCN = "TK9153 .I464 1990", bibdate = "Mon Jan 2 16:18:16 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "International Conference on Supercomputing in Nuclear Applications (1st: 1990: Mito-shi, Japan)", remark = "JP91-55831.", subject = "Nuclear engineering; Data processing; congresses; Supercomputers", } @Proceedings{Laforenza:1990:STS, editor = "Domenico Laforenza and Raffaele Perego", booktitle = "Supercomputing tools for science and engineering", title = "Supercomputing tools for science and engineering", volume = "53", publisher = pub-FRANCO-ANGELI, address = pub-FRANCO-ANGELI:adr, pages = "xv + 806", year = "1990", ISBN = "88-204-6322-9", ISBN-13 = "978-88-204-6322-9", LCCN = "QA76.88 .S88 1990", bibdate = "Mon Jan 2 15:49:22 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", price = "L70000", series = "Collana scientifica", acknowledgement = ack-nhfb, remark = "English and Italian.. Papers from the International Workshop on ``Supercomputing Tools for Science and Engineering'', held in Pisa, Italy, Dec. 4-7, 1989.. At head of title: Consiglio nazionale delle ricerche, Progetto finalizzato ``sistemi informatici e calcolo parallelo'', Iniziativa di supporto al calcolo parallelo.", subject = "Supercomputers; Congresses; Science; Data processing; Engineering", } @Proceedings{Manley:1990:PTE, editor = "John Manley and Sean McKee and David Owens", booktitle = "{Proceedings of the Third European Conference on Mathematics in Industry, August 28--31, 1988, Glasgow}", title = "{Proceedings of the Third European Conference on Mathematics in Industry, August 28--31, 1988, Glasgow}", volume = "5", publisher = pub-KLUWER # " and " # pub-TEUBNER, address = pub-KLUWER:adr # " and " # pub-TEUBNER:adr, pages = "xii + 564", year = "1990", ISBN = "0-7923-0807-7 (Kluwer), 3-519-02174-9 (Teubner)", ISBN-13 = "978-0-7923-0807-2 (Kluwer), 978-3-519-02174-2 (Teubner)", LCCN = "TA329 .E97 1988", bibdate = "Mon Jan 2 16:17:18 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", series = "European Consortium for Mathematics in Industry", acknowledgement = ack-nhfb, meetingname = "European Conference on Mathematics in Industry (3rd: 1988: Glasgow, Scotland)", subject = "Engineering mathematics; Congresses; Industrial engineering; Mathematics", } @Book{vanderVorst:1990:PAN, editor = "Henk A. van der Vorst and Paul {Van Dooren}", booktitle = "Parallel algorithms for numerical linear algebra", title = "Parallel algorithms for numerical linear algebra", volume = "1", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "x + 330", year = "1990", ISBN = "0-444-88621-4", ISBN-13 = "978-0-444-88621-7", LCCN = "QA76.5 .P31458 1990", MRclass = "65-06 (65Fxx 65Y05)", MRnumber = "MR1068142 (91f:65005)", bibdate = "Sat Dec 31 06:28:14 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; MathSciNet database; z3950.loc.gov:7090/Voyager", series = "Advances in Parallel Computing", acknowledgement = ack-nhfb, remark = "Reprinted from the Journal of computational and applied mathematics, vol. 27, numbers 1 and 2 (September 1989).", subject = "Parallel algorithms; Parallel processing (Electronic computers); Algebras, Linear; Numerical calculations", tableofcontents = "Preface / H. van der Vorst and P. van Dooren\par A quadratically convergent parallel Jacobi process for diagonally dominant matrices with distinct eigenvalues / M. H. C. Paardekooper\par A Jacobi-like algorithm for computing the generalized Schur form of a regular pencil / J.-P. Charlier and P. van Dooren\par Canonical correlations and generalized SVD: applications and new algorithms / L. M. Ewerbring and F. T. Luk\par From Bareiss' algorithm to the stable computation of partial correlations / J.-M. Delosme and I. C. F. Ipsen\par A recursive doubling algorithm for solution of tridiagonal systems on hypercube multiprocessors / ?. Egecioglu, C. K. Koc and A. J. Laub - Least squares modifications with inverse factorizations: parallel implications / C.-T. Pan and R. J. Plemmons. Solution of sparse positive definite systems on a hypercube / A. George ... [et al.]\par Some aspects of parallel implementation of the finite-element method on message passing architectures / I. Babuska and H. C. Elman\par An overview of parallel algorithms for the singular value and symmetric eigenvalue problems / M. Berry and A. Sameh\par Block reduction of matrices to condensed forms for eigenvalue computations / J. J. Dongarra, S. J. Hammarling and D. C. Sorensen\par Multiprocessing a sparse matrix code on the Alliant FX-8 / I. S. Duff\par Vector and parallel methods for the direct solution of Poisson's equation / P. N. Swartztrauber and R. A. Sweet\par Factoring with the quadratic sieve on large vector computers / H. te Riele, W. Lioen and D. Winter. Efficient vectorizable PDE solvers / W. Sch?nauer and R. Weiss\par Vectorizable preconditioners for elliptic difference equations in three space dimensions / O. Axelsson and V. Eijkhout\par Solving 3D block bidiagonal linear systems on vector computers / J. J. F. M. Schlichting and H. A. van der Vorst.", } @Proceedings{Anonymous:1991:PIS, editor = "Anonymous", booktitle = "{Proceedings of the International Symposium on Supercomputing: Fukuoka, Japan, November 6--8, 1991}", title = "{Proceedings of the International Symposium on Supercomputing: Fukuoka, Japan, November 6--8, 1991}", publisher = "Kyushu University Press", address = "Fukuoka, Japan", pages = "iv + 261", year = "1991", ISBN = "4-87378-284-8", ISBN-13 = "978-4-87378-284-3", LCCN = "QA76.88 .I587 1991", bibdate = "Thu Sep 16 09:48:36 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Proceedings{Spedicato:1991:CAS, editor = "Emilio Spedicato", booktitle = "Computer algorithms for solving linear algebraic equations: the state of the art", title = "Computer algorithms for solving linear algebraic equations: the state of the art", volume = "77", publisher = pub-SV, address = pub-SV:adr, pages = "viii + 352", year = "1991", ISBN = "0-387-54187-X, 3-540-54187-X", ISBN-13 = "978-0-387-54187-7, 978-3-540-54187-5", LCCN = "QA218 N18 1990", bibdate = "Mon Jan 2 16:21:30 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; library.ox.ac.uk:210/ADVANCE", note = "Proceedings of the NATO Advanced Study Institute on Computer Algorithms for Solving Linear Algebraic Equations: the State of the Art, held at Il Ciocco, Barga, Italy, September 9--21, 1990.", series = "NATO ASI series. Series F, Computer and systems sciences", acknowledgement = ack-nhfb, remark = "Published in cooperation with NATO Scientific Affairs Division.", subject = "Algebras, Linear; Congresses; Computer algorithms; Equations; Numerical solutions; Data processing", } @Book{Adeli:1992:SEA, editor = "Hojjat Adeli", booktitle = "Supercomputing in engineering analysis", title = "Supercomputing in engineering analysis", volume = "1", publisher = pub-DEKKER, address = pub-DEKKER:adr, pages = "xi + 362", year = "1992", ISBN = "0-8247-8559-2", ISBN-13 = "978-0-8247-8559-8", LCCN = "TA345.S87; TA345 .S87 1991; TA345 .S87 1992", bibdate = "Mon Jan 2 16:25:45 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; library.mit.edu:9909/mit01", series = "New generation computing", acknowledgement = ack-nhfb, subject = "Engineering; Data processing; Supercomputers; Vector processing (Computer science); Parallel processing (Electronic computers)", } @Proceedings{Bouge:1992:PPC, editor = "L. Bouge and M. Cosnard and Y. Robert and D. Trystram", booktitle = "{Parallel processing: CONPAR 92-VAPP V, Second Joint International Conference on Vector and Parallel Processing, Lyon, France, September 1--4, 1992: proceedings}", title = "{Parallel processing: CONPAR 92-VAPP V, Second Joint International Conference on Vector and Parallel Processing, Lyon, France, September 1--4, 1992: proceedings}", volume = "634", publisher = pub-SV, address = pub-SV:adr, pages = "xvii + 853", year = "1992", CODEN = "LNCSD9", ISBN = "3-540-55895-0 (Berlin), 0-387-55895-0 (New York)", ISBN-13 = "978-3-540-55895-8 (Berlin), 978-0-387-55895-0 (New York)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA76.58 .J65 1992", bibdate = "Fri Apr 12 07:36:22 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = ser-LNCS, acknowledgement = ack-nhfb, keywords = "parallel processing (electronic computers) --- congresses; vector processing (computer science) --- congresses", xxvolume = "4003839054", } @Proceedings{Depeyre:1992:PES, editor = "D. Depeyre and X. Joulia and B. Koehret and J. M. {Le Lann}", booktitle = "{Proceedings: European Symposium on Computer Aided Engineering (ESCAPE 2), 5--7 October, 1992, Toulouse, France}", title = "{Proceedings: European Symposium on Computer Aided Engineering (ESCAPE 2), 5--7 October, 1992, Toulouse, France}", volume = "17(11--12) (supplement)", publisher = pub-PERGAMON, address = pub-PERGAMON:adr, pages = "x + 536", year = "1992", ISBN = "????", ISBN-13 = "????", ISSN = "0098-1354 (print), 1873-4375 (electronic)", LCCN = "????", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "Computers and chemical engineering", acknowledgement = ack-nhfb, } @Proceedings{Dongarra:1992:PFS, editor = "Jack Dongarra and Ken Kennedy and Paul Messina and Danny C. Sorensen and Robert G. Voigt", booktitle = "{Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing (Houston, TX, March 25--27, 1991)}", title = "{Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing (Houston, TX, March 25--27, 1991)}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xvii + 648", year = "1992", ISBN = "0-89871-303-X", ISBN-13 = "978-0-89871-303-9", LCCN = "QA76.58 .P76 1992", MRclass = "65Y05 (65Fxx 90-04 90C30)", MRnumber = "93g:65178", bibdate = "Thu Dec 19 14:26:03 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Book{Perrott:1992:SPC, editor = "R. H. Perrott", booktitle = "Software for parallel computers", title = "Software for parallel computers", publisher = pub-CHAPMAN-HALL, address = pub-CHAPMAN-HALL:adr, pages = "350", year = "1992", ISBN = "0-412-39960-1", ISBN-13 = "978-0-412-39960-2", LCCN = "QA76.58.S63 1992", bibdate = "Mon Sep 09 08:27:07 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Proceedings{Fincham:1993:PCB, editor = "A. E. Fincham and Brian J. Ford", booktitle = "{Parallel computation: based on the proceedings of a conference on parallel computation organized by the Institute of Mathematics and Its Applications and held at St. Catherine's College, Oxford, in September 1991}", title = "{Parallel computation: based on the proceedings of a conference on parallel computation organized by the Institute of Mathematics and Its Applications and held at St. Catherine's College, Oxford, in September 1991}", volume = "46", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "x + 366", year = "1993", ISBN = "0-19-853680-1", ISBN-13 = "978-0-19-853680-2", LCCN = "QA76.58 .P3755 1993", bibdate = "Sat Dec 31 09:27:28 MST 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; z3950.loc.gov:7090/Voyager", series = "Conference series / The Institute of Mathematics and Its Applications", acknowledgement = ack-nhfb, subject = "Parallel programming (Computer science); Congresses", } @Proceedings{Ames:1994:IPI, editor = "W. F. Ames", booktitle = "{IMACS '94: proceedings of the 14th IMACS World Congress on Computation and Applied Mathematics: July 11--15, 1994, Georgia Institute of Technology, Atlanta, Georgia, USA}", title = "{IMACS '94: proceedings of the 14th IMACS World Congress on Computation and Applied Mathematics: July 11--15, 1994, Georgia Institute of Technology, Atlanta, Georgia, USA}", publisher = "International Association for Mathematics and Computers in Simulation", address = "????", pages = "1572", year = "1994", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Tue Jan 03 06:46:12 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Three volumes: Volume 1: Applied mathematics, stochastic processes, iterative methods. Volume 2: Applications of computing, fluid mechanics, acoustics, solid mechanics, neural networks. Volume 3: Numerical methods and analysis finite differences and elements, differential equations, intervals.", acknowledgement = ack-nhfb, } @Proceedings{Dongarra:1994:PSC, editor = "J. J. Dongarra and Jerzy Wasniewski", booktitle = "{Parallel scientific computing: First International Workshop, PARA '94, Lyngby, Denmark, June 20--23, 1994: proceedings}", title = "{Parallel scientific computing: First International Workshop, PARA '94, Lyngby, Denmark, June 20--23, 1994: proceedings}", volume = "879", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 566", year = "1994", CODEN = "LNCSD9", ISBN = "3-540-58712-8 (Berlin), 0-387-58712-8 (New York)", ISBN-13 = "978-3-540-58712-5 (Berlin), 978-0-387-58712-7 (New York)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA76.58 .P35 1994", bibdate = "Fri Apr 12 07:40:14 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", price = "DM104.00", series = ser-LNCS, acknowledgement = ack-nhfb, keywords = "parallel processing (electronic computers) --- congresses", xxvolume = "4004739791", } @Proceedings{Griffiths:1994:NAP, editor = "D. F. (David Francis) Griffiths and G. A. (G. Alistair) Watson", booktitle = "{Numerical analysis 1993: proceedings of the 15th Dundee Conference, June--July 1993}", title = "{Numerical analysis 1993: proceedings of the 15th Dundee Conference, June--July 1993}", volume = "303", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "275", year = "1994", ISBN = "0-582-22568-X", ISBN-13 = "978-0-582-22568-8", ISSN = "0269-3674", LCCN = "QA297 .D85 1993", bibdate = "Mon Jan 2 16:37:00 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; library.ox.ac.uk:210/ADVANCE", series = "Pitman research notes in mathematics series", acknowledgement = ack-nhfb, meetingname = "Dundee Biennial Conference on Numerical Analysis (15th: 1993)", remark = "The 15th Dundee Biennial Conference on Numerical Analysis was held at the University of Dundee during the 4 days June 29--July 2, 1993.", subject = "Numerical analysis; Congresses", tableofcontents = "J. W. Harrett \& Wenbin Liu: Finite Element Approximation of Degenerate Quasilinear Elliptic and Parabolic Problems / 1 \\ R. K. Beatson \& M. J. D. Powell: An Iterative Method for Thin Plate Spline Interpolation that Employs Approximations to Lagrange Functions / 17 \\ I. S. Duff: The Solution of Augmented Systems / 10 \\ C. M. Elliott \& A. R. Gardiner: One Dimensional Phase Field Computations / 56 \\ J. de Frutos \& J. M. Sanz-Serna: Erring and being Conservative / 75 \\ P. E. Gill, W. Murray, D. B. Poncele{\'o}n \& M. A. Saunders: Solving Reduced KKT Systems in Barrier Methods for Linear Programming / 89 \\ G. H. Golub \& Gerard Meurant: Matrices, Moments, and Quadrature / 105 \\ J. Groeneweg \& M. N. Spijker: On the Error due to the Stopping of the Newton Iteration in Implicit Linear Multistep Methods / 157 \\ D. J. Higham: The Dynamics of a Discretised Nonlinear Delay Differential Equation / 167 \\ A. R. Humphries, D. A. Jones \& A. M. Stuart: Approximation of Dissipative Partial Differential Equations over Long Time Intervals / 180 \\ N. K. Nichols: Differential--Algebraic Equations and Control System Design / 208 \\ G. W. Stewart: $UTV$ Decompositions / 225 \\ M. J. Todd: A Lower Bound on the Number of Iterations of an Interior-Point Algorithm for Linear Programming / 237 \\ P. Townsend \& M. F. Webster: Computational Analysis in Rheological Flow Problems / 260 \\ List of Contributed Talks / / 267", } @Proceedings{Lewis:1994:PFS, editor = "John G. (John Gregg) Lewis", booktitle = "{Proceedings of the Fifth SIAM Conference on Applied Linear Algebra}", title = "{Proceedings of the Fifth SIAM Conference on Applied Linear Algebra}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "x + 578", year = "1994", ISBN = "0-89871-336-6", ISBN-13 = "978-0-89871-336-7", LCCN = "QA184 .S58 1994", bibdate = "Mon Jan 2 16:34:40 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; melvyl.cdlib.org:210/CDL90", acknowledgement = ack-nhfb, meetingname = "SIAM Conference on Applied Linear Algebra (5th: 1994: Snowbird, Utah)", remark = "Held in Snowbird, Utah, USA, June 15--18, 1994", subject = "Algebras, Linear; Congresses", } @Proceedings{Natori:1994:MAP, editor = "M. Natori and T. Nodera", booktitle = "{Matrix analysis and parallel computing}", title = "{Matrix analysis and parallel computing}", publisher = "Keio University", address = "Yokohama, Japan", pages = "276", year = "1994", LCCN = "R", bibdate = "Mon Jan 2 16:51:23 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.libris.kb.se:210/libr", acknowledgement = ack-nhfb, remark = "Preface: the papers in this issue were presented at an international symposium on PCG'94 held at the faculty of science and technology, Keio university in Japan, on March 14th to March 16th, 1994. (PCG'94).", } @Proceedings{Bailey:1995:PSS, editor = "David H. Bailey and others", booktitle = "{Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing (February 1995, San Francisco, CA)}", title = "{Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing (February 1995, San Francisco, CA)}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xviii + 875", year = "1995", ISBN = "0-89871-344-7", ISBN-13 = "978-0-89871-344-2", LCCN = "QA76.58.S55 1995", bibdate = "Tue Sep 3 12:52:10 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, sponsor = "Society for Industrial and Applied Mathematics.", } @Proceedings{DAlmeida:1995:VPP, editor = "F. D. D'Almeida and F. N. Ferreira and B. H. V. Topping", booktitle = "{Vector and parallel processing: 1st International meeting --- September 1993, Porto, Portugal}", title = "{Vector and parallel processing: 1st International meeting --- September 1993, Porto, Portugal}", volume = "6(4)", publisher = pub-PERGAMON, address = pub-PERGAMON:adr, pages = "????", year = "1995", CODEN = "COSEEO", ISSN = "0956-0521 (print), 1873-6211 (electronic)", bibdate = "Tue Sep 3 12:52:10 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "Also known as VecPar'93.", series = "Computing Systems in Engineering", acknowledgement = ack-nhfb, sponsor = "University of Porto. Engineering Faculty.", } @Proceedings{Moonen:1995:APV, editor = "Marc S. Moonen and Francky Catthoor", booktitle = "{Algorithms and parallel VLSI architectures III: proceedings of the International Workshop, Algorithms and Parallel VLSI Architectures III, Leuven, Belgium, August 29--31, 1994}", title = "{Algorithms and parallel VLSI architectures III: proceedings of the International Workshop, Algorithms and Parallel VLSI Architectures III, Leuven, Belgium, August 29--31, 1994}", publisher = pub-ELS, address = pub-ELS:adr, pages = "x + 413", year = "1995", ISBN = "0-444-82106-6", ISBN-13 = "978-0-444-82106-5", LCCN = "QA76.58 .I57 1994", bibdate = "Tue Sep 3 12:52:10 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = "Algorithms and Parallel VLSI Architectures", acknowledgement = ack-nhfb, sponsor = "IEEE; Benelux Signal Processing Chapter. IEEE; Benelux Circuits and Systems Chapter.", } @Proceedings{Papadrakakis:1996:ACM, editor = "Manolis Papadrakakis and G. Bugeda", booktitle = "{Advanced computational methods in structural mechanics: Human Capital and Mobility Workshop on Advanced Finite Element Solution Procedures on Innovative Computer Architectures, held in Barcelona, April 6--7, 1995}", title = "{Advanced computational methods in structural mechanics: Human Capital and Mobility Workshop on Advanced Finite Element Solution Procedures on Innovative Computer Architectures, held in Barcelona, April 6--7, 1995}", publisher = "International Centre for Numerical Methods in Engineering (CIMNE)", address = "Barcelona, Spain", pages = "374", year = "1996", ISBN = "84-87867-75-8", ISBN-13 = "978-84-87867-75-0", LCCN = "????", bibdate = "Mon Jan 2 16:50:10 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.gbv.de:20011/gvk", acknowledgement = ack-nhfb, } @Proceedings{Dongarra:1997:VPP, editor = "J. J. Dongarra and Jose M. L. M. Palma", booktitle = "{Vector and parallel processing---VECPAR '96: Second International Conference on Vector and Parallel Processing-Systems and Applications, Porto, Portugal, September 25--27, 1996: Selected Papers}", title = "{Vector and parallel processing---VECPAR '96: Second International Conference on Vector and Parallel Processing-Systems and Applications, Porto, Portugal, September 25--27, 1996: Selected Papers}", volume = "1215", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 469", year = "1997", CODEN = "LNCSD9", DOI = "????", ISBN = "3-540-62828-2", ISBN-13 = "978-3-540-62828-6", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA76.58 .I552 1996", bibdate = "Mon Aug 25 09:50:07 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = ser-LNCS, URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t1215.htm; http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1215", acknowledgement = ack-nhfb, keywords = "parallel processing (electronic computers) --- congresses; vector processing (computer science) --- congresses", } @Proceedings{Duff:1997:PWD, editor = "Iain Duff and Nick Gould and Craig Douglas and Luc Giraud", booktitle = "{Proceedings of the Workshop on Direct Methods, September 26--29, 1995; the Workshop on Linear Algebra in Optimization, April 22--25, 1996; and the Workshop on Iterative Methods, June 10--13, 1996, held in Toulouse as part of the International Linear Algebra Year (ILAY)}", title = "{Proceedings of the Workshop on Direct Methods, September 26--29, 1995; the Workshop on Linear Algebra in Optimization, April 22--25, 1996; and the Workshop on Iterative Methods, June 10--13, 1996, held in Toulouse as part of the International Linear Algebra Year (ILAY)}", publisher = "BIT", address = "Copenhagen", pages = "i--ii and 473--769", year = "1997", CODEN = "NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65-06 (65F10 65K05)", MRnumber = "MR1483670 (98f:65005)", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", note = "BIT {\bf 37} (1997), no. 3", acknowledgement = ack-nhfb, xxtitle = "Direct methods, linear algebra in optimization, iterative methods", } @Proceedings{Duff:1997:SAN, editor = "Iain S. Duff and G. Alistair Watson", booktitle = "The state of the art in numerical analysis", title = "The state of the art in numerical analysis", volume = "63", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xiv + 562", year = "1997", ISBN = "0-19-850014-9", ISBN-13 = "978-0-19-850014-8", LCCN = "QA297.S775 1997", MRclass = "65-06 (00B25)", MRnumber = "MR1628339 (99a:65008)", bibdate = "Thu Sep 16 11:59:48 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Based on the proceedings of a conference on the state of the art in numerical analysis. Organized by the Institute of Mathematics and Its Applications and held at York University in April 1996.", series = "The Institute of Mathematics and Its Applications conference series: new series", URL = "https://global.oup.com/academic/product/the-state-of-the-art-in-numerical-analysis-9780198500148", acknowledgement = ack-nhfb, tableofcontents = "1. Recent Developments in Dense Numerical Linear Algebra / N. J. Higham \\ 2. Sparse Numerical Linear Algebra: Direct Methods and Preconditioning / I. S. Duff \\ 3. Closer to the Solution: Iterative Linear Solvers / G. H. Golub and H. A. van der Vorst \\ 4. 150 Years Old and Still Alive: Eigenproblems / H. A. van der Vorst and G. H. Golub \\ 5. Geometric Integration / J. M. Sanz-Serna \\ 6. Convergence and Stability in the Numerical Approximation of Dynamical Systems / A. Stuart \\ 7. Beyond the Classical Theory of Computational Ordinary Differential Equations / A. Iserles \\ 8. Numerical Analysis of Volterra Functional and Integral Equations / C. T. H. Baker \\ 9. The Numerical Solution of Boundary Integral Equations / K. E. Atkinson \\ 10. Aspects of Approximation with Emphasis on the Univariate Case / G. A. Watson \\ 11. A Review of Methods for Multivariable Interpolation at Scattered Data Points / M. J. D. Powell \\ 12. Large Scale Unconstrained Optimization / J. Nocedal \\ 13. Interior Point Methods for Linear and Nonlinear Programming / D. F. Shanno and E. M. Simantiraki \\ 14. Methods for Nonlinear Constraints in Optimization Calculations / A. R. Conn, N. I. M. Gould and Ph. L. Toint \\ 15. Stabilization Techniques and Subgrid Scales Capturing, F. Brezzi, L. P. Franca / T. J. R. Hughes and A. Russo \\ 16. Approximation of Curvature Dependent Interface Motion / C. M. Elliott \\ 17. Finite Element Methods for Hyperbolic Problems: a Posteriori Error Analysis and Adaptivity / E. S{\"u}li and P. Houston \\ 18. Approximation of Multidimensional Hyperbolic Partial Differential Equations / K. W. Morton \\ 19. Algorithms in Tomography / F. Natterer \\ 20. Partial Differential Equations and Image Iterative Filtering / F. Guichard and J.-M. Morel", } @Book{Arbenz:1998:HPA, editor = "Peter Arbenz and Marcin Paprzycki and Ahmed Sameh and Vivek Sarin", booktitle = "High performance algorithms for structured matrix problems", title = "High performance algorithms for structured matrix problems", volume = "2", publisher = "Nova Science", address = "Commack, NY, USA", pages = "viii + 203", year = "1998", ISBN = "1-56072-594-X", ISBN-13 = "978-1-56072-594-7", LCCN = "QA267 .A345 1996; QA76.9.A43+", bibdate = "Mon Jan 2 17:30:33 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; melvyl.cdlib.org:210/CDL90; z3950.loc.gov:7090/Voyager", series = "Advances in the theory of computation and computational mathematics", acknowledgement = ack-nhfb, subject = "Computer algorithms; High performance computing; Parallel processing (Electronic computers); Matrices", } @Proceedings{Allan:1999:HPC, editor = "R. J. Allan and M. F. Guest and A. D. Simpson and D. S. Henty and D. A. Nicole", booktitle = "{High-performance computing}", title = "{High-performance computing}", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xiii + 584", year = "1999", ISBN = "0-306-46034-3", ISBN-13 = "978-0-306-46034-0", LCCN = "QA76.88 .H49 1999", bibdate = "Mon Jan 2 16:58:50 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", note = "Proceedings of the High-Performance Computing Initiative (HPCI) Conference, held January 12--14, 1998, in Manchester, England", acknowledgement = ack-nhfb, subject = "High performance computing; Congresses", } @Proceedings{Amestoy:1999:EPP, editor = "Patrick Amestoy and Philippe Berger and Michel Dayd{\'e} and Iain Duff and Val{\'e}rie Frayss{\'e} and Luc Giraud and Daniel Ruiz", booktitle = "{Euro-Par'99 parallel processing: 5th International Euro-Par Conference, Toulouse, France, August 31-September 3, 1999: Proceedings}", title = "{Euro-Par'99 parallel processing: 5th International Euro-Par Conference, Toulouse, France, August 31-September 3, 1999: Proceedings}", volume = "1685", publisher = pub-SV, address = pub-SV:adr, pages = "xxxii + 1503", year = "1999", CODEN = "LNCSD9", ISBN = "3-540-66443-2", ISBN-13 = "978-3-540-66443-7", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA76.58 .I553 1999", MRclass = "65-06 (65Y05 68-06 68W10)", MRnumber = "MR1847719 (2002c:65005)", bibdate = "Mon Nov 22 09:58:27 2004", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = ser-LNCS, URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t1685.htm; http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1685", acknowledgement = ack-nhfb, keywords = "Parallel processing (Electronic computers)", } @Proceedings{Anonymous:1999:PCC, editor = "Anonymous", booktitle = "Proceedings of the Computational Cattle Breeding '99 Workshop, Tuusula, Finland, March 18--20, 1999", title = "Proceedings of the Computational Cattle Breeding '99 Workshop, Tuusula, Finland, March 18--20, 1999", volume = "20", publisher = "International Bull Evaluation Service", address = "Uppsala, Sweden", pages = "119", year = "1999", ISBN = "????", ISBN-13 = "????", ISSN = "1011-6079", LCCN = "????", bibdate = "Mon Jan 02 17:03:50 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Proceedings{Bell:1999:SCP, editor = "Kenneth L. Bell and K. A. Berrington and D. S. F. Crothers and A. Hibbert and K. T. Taylor", booktitle = "Supercomputing, collision processes, and applications", title = "Supercomputing, collision processes, and applications", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "vii + 284", year = "1999", ISBN = "0-306-46190-0", ISBN-13 = "978-0-306-46190-3", LCCN = "QC794.6.C6 S86 1999", bibdate = "Mon Jan 2 17:11:17 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", note = "Proceedings of an International Conference on Supercomputing, Collision Processes, and Applications held September 14--16, 1998, in Belfast, Northern Ireland, to make the occasion of the retirement of Professor Philip G. Burke, CBC, FSR.", series = "Physics of atoms and molecules", acknowledgement = ack-nhfb, subject = "Collisions (Nuclear physics); Congresses; Supercomputers", xxbooktitle = "Supercomputer, collision processes, and applications", xxtitle = "Supercomputer, collision processes, and applications", } @Book{Papadrakakis:1999:ICM, editor = "Manolis Papadrakakis and B. H. V. Topping", booktitle = "Innovative computational methods for structural mechanics", title = "Innovative computational methods for structural mechanics", publisher = "Saxe-Coburg Publications", address = "Edinburgh, Scotland", pages = "iv + 318", year = "1999", ISBN = "1-874672-05-9", ISBN-13 = "978-1-874672-05-0", LCCN = "TA647 .I54 1999", bibdate = "Mon Jan 2 17:06:52 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Structural analysis (Engineering); Data processing", } @Proceedings{ACM:2000:SHP, editor = "{ACM}", booktitle = "{SC2000: High Performance Networking and Computing. Dallas Convention Center, Dallas, TX, USA, November 4--10, 2000}", title = "{SC2000: High Performance Networking and Computing. Dallas Convention Center, Dallas, TX, USA, November 4--10, 2000}", publisher = pub-ACM # " and " # pub-IEEE, address = pub-ACM:adr # " and " # pub-IEEE:adr, pages = "????", year = "2000", ISBN = "????", ISBN-13 = "????", LCCN = "QA76.88", bibdate = "Thu Feb 24 09:35:00 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", URL = "http://www.sc2000.org/proceedings/info/fp.pdf", acknowledgement = ack-nhfb, } @Proceedings{Saad:2000:PTL, editor = "Yousef Saad and Owe Axelsson and Iain Duff and Wei-Pai Tang and Andy Wathen", booktitle = "Preconditioning techniques for large sparse matrix problems in industrial applications", title = "Preconditioning techniques for large sparse matrix problems in industrial applications", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "iv + 489--762", year = "2000", CODEN = "NLAAEM", ISSN = "1070-5325 (print), 1099-1506 (electronic)", MRclass = "65-06", MRnumber = "MR1800674 (2001f:65005)", bibdate = "Sat Dec 31 06:28:14 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; MathSciNet database", note = "Papers from the International Conference (SPARSE '99) held at the University of Minnesota, Minneapolis, MN, June 10--12, 1999, Numer. Linear Algebra Appl. {\bf 7} (2000), no. 7--8.", acknowledgement = ack-nhfb, } @Proceedings{Anonymous:2001:PTS, editor = "Anonymous", booktitle = "{Proceedings of the Tenth SIAM Conference on Parallel Processing for Scientific Computing 2001}", title = "{Proceedings of the Tenth SIAM Conference on Parallel Processing for Scientific Computing 2001}", publisher = pub-SIAM, address = pub-SIAM:adr, year = "2001", ISBN = "0-89871-492-3", ISBN-13 = "978-0-89871-492-0", LCCN = "QA76.58", bibdate = "Mon Jan 2 17:18:12 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; z3950.loc.gov:7090/Voyager", note = "1 CD-ROM.", acknowledgement = ack-nhfb, meetingname = "SIAM Conference on Parallel Processing for Scientific Computing (10th: 2001: Portsmouth, VA)", remark = "Title from disc label: Science and industry advance with mathematics", subject = "Parallel processing (Electronic computers); Congresses", } @Proceedings{Sorevik:2001:APC, editor = "Tor S{\o}revik and Fredrik Manne and Randi Moe and Assefaw Hadish Gebremedhin", booktitle = "{Applied parallel computing: new paradigms for HPC in industry and academia: 5th International Workshop, PARA 2000, Bergen, Norway, June 18--20, 2000: Proceedings}", title = "{Applied parallel computing: new paradigms for HPC in industry and academia: 5th International Workshop, PARA 2000, Bergen, Norway, June 18--20, 2000: Proceedings}", volume = "1947", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 400", year = "2001", CODEN = "LNCSD9", ISBN = "3-540-41729-X (softcover)", ISBN-13 = "978-3-540-41729-3 (softcover)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA76.58 .P353 2000", bibdate = "Thu Jan 17 11:49:19 MST 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = ser-LNCS, URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t1947.htm; http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1947", acknowledgement = ack-nhfb, keywords = "high performance computing --- congresses; parallel processing (electronic computers) --- congresses", } @Proceedings{vanderVorst:2001:CMC, editor = "Henk van der Vorst and Iain Duff and Howard Elman and Roland Freund and Tim Kelley and Seymour Parter and others", booktitle = "{Copper Mountain Conference}", title = "{Copper Mountain Conference}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "viii + 363--682 (electronic)", year = "2001", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65-06", MRnumber = "MR1861253", bibdate = "Sat Dec 31 06:28:14 2005", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib; MathSciNet database", note = "Papers from the 6th Conference on Iterative Methods held in Copper Mountain, CO, April 3--7, 2000, SIAM J. Sci. Comput. {\bf 23} (2001), no. 2.", URL = "http://epubs.siam.org/sam-bin/dbq/article/97414", acknowledgement = ack-nhfb, } @Proceedings{Vulkov:2001:NAA, editor = "Lubin Vulkov and Jerzy Wa{\'s}niewski and Plamen Yalamov", booktitle = "{Numerical analysis and its applications: Second International Conference, NAA 2000, Rousse, Bulgaria, June 11--15, 2000: Revised Papers}", title = "{Numerical analysis and its applications: Second International Conference, NAA 2000, Rousse, Bulgaria, June 11--15, 2000: Revised Papers}", volume = "1988", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 782", year = "2001", CODEN = "LNCSD9", ISBN = "3-540-41814-8 (softcover)", ISBN-13 = "978-3-540-41814-6 (softcover)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA297 .N8415 2001; QA267.A1 L43 no.1988", bibdate = "Thu Jan 17 11:49:19 MST 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = ser-LNCS, URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t1988.htm; http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1988", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Proceedings{Wyrzykowski:2004:PPA, editor = "Roman Wyrzykowski and Jack Dongarra and Marcin Paprzycki and Jerzy Wa{\'s}niewski", booktitle = "{Parallel Processing and Applied Mathematics: 5th International Conference, PPAM 2003, Cz{\k{e}}stochowa, Poland, September 7--10, 2003: Revised Papers}", title = "{Parallel Processing and Applied Mathematics: 5th International Conference, PPAM 2003, Cz{\k{e}}stochowa, Poland, September 7--10, 2003: Revised Papers}", volume = "3019", publisher = pub-SV, address = pub-SV:adr, pages = "xix + 1174", year = "2004", CODEN = "LNCSD9", DOI = "https://doi.org/10.1007/b97218", ISBN = "3-540-21946-3", ISBN-13 = "978-3-540-21946-0", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA76.58 .P69 2003", bibdate = "Thu Nov 11 19:26:30 MST 2004", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib", series = ser-LNCS, URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t3019.htm; http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=3019; http://www.springerlink.com/openurl.asp?genre=volume&id=doi:10.1007/b97218", acknowledgement = ack-nhfb, }

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