%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nicholas Ian Gould", %%% version = "1.35", %%% date = "05 September 2020", %%% time = "09:24:52 MDT", %%% filename = "gould-nicholas-ian.bib", %%% address = "Rutherford Appleton Laboratory %%% Computing and Information Systems %%% OX11 0QX %%% England", %%% telephone = "235 445801", %%% FAX = "(44) 0235 446626", %%% checksum = "58214 4256 17343 177175", %%% email = "nimg at letterbox.rl.ac.uk (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "Optimization, Large-scale scientific computation", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% Nicholas Ian Gould. The companion LaTeX file %%% gould-nicholas-ian.ltx can be used to typeset %%% this bibliography. %%% %%% Additional publications may possibly be found %%% in the reference list at %%% %%% http://www.cs.ox.ac.uk/nick.gould/publications.html %%% %%% At version 1.35, the year coverage looked %%% like this: %%% %%% 1981 ( 1) 1995 ( 2) 2009 ( 2) %%% 1982 ( 3) 1996 ( 6) 2010 ( 8) %%% 1983 ( 2) 1997 ( 11) 2011 ( 3) %%% 1984 ( 4) 1998 ( 4) 2012 ( 9) %%% 1985 ( 1) 1999 ( 5) 2013 ( 4) %%% 1986 ( 2) 2000 ( 9) 2014 ( 4) %%% 1987 ( 3) 2001 ( 2) 2015 ( 4) %%% 1988 ( 3) 2002 ( 5) 2016 ( 2) %%% 1989 ( 5) 2003 ( 10) 2017 ( 0) %%% 1990 ( 7) 2004 ( 7) 2018 ( 0) %%% 1991 ( 8) 2005 ( 7) 2019 ( 0) %%% 1992 ( 10) 2006 ( 4) 2020 ( 2) %%% 1993 ( 7) 2007 ( 3) %%% 1994 ( 12) 2008 ( 1) %%% %%% Article: 103 %%% Book: 3 %%% InCollection: 4 %%% InProceedings: 24 %%% PhdThesis: 1 %%% Proceedings: 5 %%% TechReport: 42 %%% %%% Total entries: 182 %%% %%% This file is available as part of the BibNet %%% Project. The master copy is available for %%% public access on ftp.math.utah.edu in the %%% directory tree /pub/bibnet/authors. It is %%% mirrored to netlib.bell-labs.com in the directory %%% tree /netlib/bibnet/authors, from which it is %%% available via anonymous ftp and the Netlib %%% service. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

@Preamble{"\input path.sty" # "\ifx \undefined \mathsf \def \mathsf #1{{\sf #1}}\fi" }

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

@String{FUNDP= "FUNDP, Namur, Belgium"} @String{inst-CERFACS= "CERFACS"} @String{inst-CERFACS:adr= "Toulouse, France"} @String{inst-HARWELL= "{AERE Harwell} Laboratory"} @String{inst-HARWELL:adr= "Chilton, Oxon, England"} @String{inst-RAL= "Rutherford Appleton Laboratory"} @String{inst-RAL:adr= "Chilton, Oxon, England"} @String{HARWELL= "AERE Harwell Laboratory, Oxfordshire, England"} @String{MATH= "Department of Mathematics"} @String{OXFORD= "Oxford, England"} @String{OXON= "Oxfordshire, England"} @String{RAL= "Rutherford Appleton Laboratory"} @String{STANFORD= "Stanford University, California, USA"} @String{TOULOUSE= "Toulouse, France"} @String{WATERLOO= "University of Waterloo, Ontario, Canada"}

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

@String{j-ACTA-NUMERICA= "Acta Numerica"} @String{j-APPL-NUM-MATH= "Applied Numerical Mathematics: Transactions of IMACS"} @String{j-BIT= "BIT (Nordisk tidskrift for informationsbehandling)"} @String{j-BIT-NUM-MATH= "BIT Numerical Mathematics"} @String{j-COMP-OPTIM-APPL= "Computational optimization and applications"} @String{j-IMA-J-NUMER-ANAL= "IMA Journal of Numerical Analysis"} @String{j-INT-J-NUMER-METHODS-ENG= "International Journal for Numerical Methods in Engineering"} @String{j-J-COMPLEXITY= "Journal of Complexity"} @String{j-J-GLOBAL-OPT= "Journal of Global Optimization"} @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-LINEAR-ALGEBRA-APPL= "Linear Algebra and its Applications"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-PROG= "Mathematical Programming"} @String{j-MATH-PROGRAM-COMPUT= "Mathematical Programming Computation"} @String{j-NUM-LIN-ALG-APPL= "Numerical Linear Algebra with Applications"} @String{j-NUM-MATH= "Numerische Mathematik"} @String{j-OPTIM-METHODS-SOFTW= "Optimization Methods \& Software"} @String{j-SIAM-J-MAT-ANA-APPL= "SIAM Journal on Matrix Analysis and Applications"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-SIAM-J-OPT= "SIAM Journal on Optimization"} @String{j-SIAM-J-SCI-COMP= "SIAM Journal on Scientific Computing"} @String{j-SIAM-J-SCI-STAT-COMP= "SIAM Journal on Scientific and Statistical Computing"} @String{j-TOMS= "ACM Transactions on Mathematical Software"} @String{MPB= "Mathematical Programming, Series~B"}

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

@String{pub-IMACS= "IMACS"} @String{pub-IMACS:adr= "Department of Computer Science, Rutgers University, New Brunswick, NJ"} @String{pub-KLUWER= "Kluwer Academic Publishers Group"} @String{pub-KLUWER:adr= "Norwell, MA, USA, and Dordrecht, The Netherlands"} @String{pub-LONGMANS= "Longmans"} @String{pub-LONGMANS:adr= "Harlow, Essex, England"} @String{pub-OXFORD= "Oxford University Press"} @String{pub-OXFORD:adr= "Walton Street, Oxford OX2 6DP, UK"} @String{pub-SIAM= "SIAM Press"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SV= "Springer-Verlag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."}

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

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

%%% ==================================================================== %%% Bibliography entries, sorted by year, and then by citation label:

@TechReport{Gould:1981:NSP, author = "N. I. M. Gould and W. Murray", title = "The numerical solution of a problem arising from the accurate determination of an earthquake epicenter occurring in a seismic net", type = "Report", institution = "Stanford University and U.S. Geological Survey", address = "Stanford, CA, USA", year = "1981", bibdate = "Thu Feb 11 07:05:09 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Gill:1982:RSM, author = "P. E. Gill and N. I. M. Gould and W. Murray and M. A. Saunders and M. H. Wright", title = "Range-space methods for convex quadratic programming problems", type = "Technical report", number = "SOL 82-9", institution = "Department of Operations Research, Stanford University", address = "Stanford, CA, USA", year = "1982", bibdate = "Thu Feb 11 07:07:09 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Gill:1982:RSQ, author = "P. E. Gill and N. I. M. Gould and W. Murray and M. A. Saunders and M. H. Wright", title = "A range-space quadratic programming algorithm for problems with a mixture of bounds and general constraints", type = "Technical Report", number = "SOL 82-10", institution = "Department of Operations Research, Stanford University", address = "Stanford, CA, USA", year = "1982", bibdate = "Thu Feb 11 07:06:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @PhdThesis{Gould:1982:NML, author = "N. I. M. Gould", title = "Numerical methods for linear and quadratic programming", school = "University of Oxford", address = OXFORD, year = "1982", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", } @TechReport{Gould:1983:GSE, author = "N. I. M. Gould", title = "The generalized steepest edge for linear programming", type = "Research report", number = "CORR 83-2", institution = "Department of Combinatorics and Optimization, University of Waterloo", address = "Waterloo, ON, Canada", year = "1983", bibdate = "Thu Feb 11 07:08:27 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Gould:1983:SSG, author = "N. I. M. Gould", title = "The stability of the solution of general quadratic programs", type = "Research report", number = "CORR 83-11", institution = "Department of Combinatorics and Optimization, University of Waterloo", address = "Waterloo, ON, Canada", year = "1983", bibdate = "Thu Feb 11 07:11:17 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Conn:1984:LDI, author = "Andrew R. Conn and Nicholas I. M. Gould", title = "On the location of directions of infinite descent for nonlinear programming algorithms", journal = j-SIAM-J-NUMER-ANAL, volume = "21", number = "6", pages = "1162--1179", year = "1984", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0721072", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "90C20 (90C30)", MRnumber = "765513 (86f:90117)", MRreviewer = "Riho Lepp", bibdate = "Tue Sep 21 22:46:14 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", xxpages = "302--325", } @Article{Gill:1984:WGS, author = "Philip E. Gill and Nicholas I. M. Gould and Walter Murray and Michael A. Saunders and Margaret H. Wright", title = "A Weighted {Gram--Schmidt} method for convex quadratic programming", journal = j-MATH-PROG, volume = "30", number = "2", pages = "176--196", year = "1984", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF02591884", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C20", MRnumber = "758003 (85g:90088)", bibdate = "Tue Sep 21 22:46:14 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", xxpages = "176--195", } @TechReport{Gould:1984:GSE, author = "N. I. M. Gould", title = "The generalized steepest--edge for linear programming: part 2, practicalities", type = "Report", number = "CORR 84-1", institution = "Department of Combinatorics and Optimization, University of Waterloo", address = "Waterloo, ON, Canada", year = "1984", bibdate = "Thu Feb 11 07:09:24 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Gould:1984:SEL, author = "N. I. M. Gould", title = "The steepest edge for linear programming, part 2: practicalities", type = "Research report", number = "CORR 84-1", institution = "Department of Combinatorics and Optimization", address = WATERLOO, year = "1984", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", } @Article{Gould:1985:PCE, author = "Nicholas I. M. Gould", title = "On practical conditions for the existence and uniqueness of solutions to the general equality quadratic programming problem", journal = j-MATH-PROG, volume = "32", number = "1", pages = "90--99", year = "1985", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01585660", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C20", MRnumber = "787745 (86j:90110)", MRreviewer = "Richard S. Sacher", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Caron:1986:FPS, author = "R. J. Caron and N. I. M. Gould", title = "Finding a positive semi-definite interval for a parametric matrix", journal = j-LINEAR-ALGEBRA-APPL, volume = "76", pages = "19--29", year = "1986", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(86)90211-9", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A48 (65F30)", MRnumber = "830329 (87f:15014)", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Gould:1986:ADS, author = "Nicholas Ian Mark Gould", title = "On the accurate determination of search directions for simple differentiable penalty functions", journal = j-IMA-J-NUMER-ANAL, volume = "6", number = "3", pages = "357--372", year = "1986", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/6.3.357", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "90C30", MRnumber = "967676 (89i:90072)", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Conn:1987:EPF, author = "Andrew R. Conn and Nicholas I. M. Gould", title = "An exact penalty function for semi-infinite programming", journal = j-MATH-PROG, volume = "37", number = "1", pages = "19--40", year = "1987", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF02591681", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (49D39)", MRnumber = "881692 (89b:90180)", MRreviewer = "J. Abrham", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", 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 = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Conn:1988:GCC, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "Global convergence of a class of trust region algorithms for optimization with simple bounds", journal = j-SIAM-J-NUMER-ANAL, volume = "25", number = "2", pages = "433--460", year = "1988", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0725029", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "90C30 (65K05)", MRnumber = "933734 (89h:90192)", MRreviewer = "Krzysztof C. Kiwiel", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", note = "See also same journal {\bf 26}(3), 764--767, 1989.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Conn:1988:TCM, author = "Andrew R. Conn and Nicholas I. M. Gould and Philippe L. Toint", title = "Testing a class of methods for solving minimization problems with simple bounds on the variables", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "399--430", month = apr, year = "1988", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008615", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K05 (90C30)", MRnumber = "929544 (89e:65061)", MRreviewer = "Joachim Hirche", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Combinatorics and Optimization, Waterloo Univ., Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; experiments; generalized Cauchy point; IBM 3084Q; iterative methods; large-scale problems; minimisation; minimization problem; numerical; simple bound constrained; trust region", treatment = "T Theoretical or Mathematical", } @Article{Gould:1988:STC, author = "N. I. M. Gould", title = "On solving three classes of nonlinear programming problems via simple differentiable penalty functions", journal = j-J-OPT-THEORY-APPL, volume = "56", number = "1", pages = "89--126", year = "1988", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/BF00938528", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C30 (49D30 49D37)", MRnumber = "922379 (89d:90188)", MRreviewer = "John J. Dinkel", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Conn:1989:CPG, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "Correction to the paper: ``{Global convergence of a class of trust region algorithms for optimization with simple bounds'' [SIAM J. Numer. Anal. \bf 25 (1988), no. 2, 433--460; MR0933734 (89h:90192)]}", journal = j-SIAM-J-NUMER-ANAL, volume = "26", number = "3", pages = "764--767", year = "1989", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0726044", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "90C30 (65K05)", MRnumber = "997667 (90d:90071)", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Conn:1989:LSO, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "Large Scale Optimization", journal = MPB, volume = "45", number = "3", year = "1989", CODEN = "MHPGA4", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", } @TechReport{Conn:1989:PSD, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "A proposal for a standard data input format for large-scale nonlinear programming problems", type = "Report", number = "CSS-89-61", institution = "University of Waterloo", address = "Waterloo, ON, Canada", year = "1989", bibdate = "Thu Feb 11 07:12:21 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Gould:1989:CSP, author = "Nicholas Ian Mark Gould", title = "On the convergence of a sequential penalty function method for constrained minimization", journal = j-SIAM-J-NUMER-ANAL, volume = "26", number = "1", pages = "107--128", year = "1989", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0726007", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "90C30 (65K05)", MRnumber = "977951 (90g:90141)", MRreviewer = "G. Opfer", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Gould:1989:NCP, author = "Nicholas I. M. Gould and John K. Reid", title = "New crash procedures for large systems of linear constraints", journal = j-MATH-PROG, volume = "45", number = "1--3", pages = "475--501", month = aug, year = "1989", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01589115", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C05 (65K05)", MRnumber = "1038244 (90m:90174)", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", xxpages = "475--502", } @Article{Arioli:1990:UAC, author = "Mario Arioli and Iain S. Duff and Nicholas I. M. Gould and John K. Reid", title = "Use of the {$ P^4 $} and {$ 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", MRclass = "65F50", MRnumber = "91f:65084", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://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", thesaurus = "Iterative methods; Linear programming; Matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Conn:1990:F, author = "A. R. Conn and Nick Gould and P. L. Toint", title = "Foreword", journal = j-MATH-PROG, volume = "48", number = "1, (Ser. B)", pages = "vii", year = "1990", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01582248", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "Contributed Item", MRnumber = "1553007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Conn:1990:ISL, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", editor = "R. Glowinski and A. Lichnewsky", booktitle = "Computing Methods in Applied Sciences and Engineering ({Paris}, 1990)", title = "An introduction to the structure of large scale nonlinear optimization problems and the {{\sf LANCELOT}} project", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "42--51", year = "1990", MRclass = "65K05", MRnumber = "1102020", bibdate = "Wed Dec 7 15:09:48 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, xxpages = "42--54", } @Article{Conn:1990:LSO, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "Large Scale Optimization --- Applications", journal = MPB, volume = "48", number = "1--3", month = mar, year = "1990", CODEN = "MHPGA4", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", } @TechReport{Conn:1990:PSD, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "A proposal for a standard data input format for large-scale nonlinear programming problems", type = "Report", number = "CS-89-61", institution = "Computer Science Department", address = WATERLOO, year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @InProceedings{Duff:1990:MMP, author = "I. S. Duff and N. I. M. Gould and M. Lescrenier and J. K. Reid", editor = "M. G. Cox and S. J. Hammarling", booktitle = "Reliable Scientific Computation", title = "The multifrontal method in a parallel environment", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "93--111", year = "1990", MRclass = "65Y05 (65F05)", MRnumber = "1098320", bibdate = "Wed Dec 7 15:09:48 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Oxford Sci. Publ.", acknowledgement = ack-nhfb, xxbooktitle = "Reliable numerical computation", } @TechReport{Conn:1991:CDL, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "A comprehensive description of {LANCELOT}", type = "Technical Report", number = "91/10", institution = "Department of Mathematics, FUNDP", address = "Namur, Belgium", year = "1991", bibdate = "Thu Feb 11 07:14:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Conn:1991:CDS, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "A comprehensive description of {{\sf LANCELOT}}", number = "91/10", institution = MATH, address = FUNDP, year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", } @Article{Conn:1991:CQN, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "Convergence of quasi-{Newton} matrices generated by the symmetric rank one update", journal = j-MATH-PROG, volume = "50", number = "2, (Ser. A)", pages = "177--195", year = "1991", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01594934", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30", MRnumber = "1103932 (92g:90145)", MRreviewer = "Vincen{\c{t}}iu Dumitru", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", xxpages = "177--196", } @Article{Conn:1991:GCA, author = "Andrew R. Conn and Nicholas I. M. Gould and Philippe L. Toint", title = "A Globally Convergent Augmented {Lagrangian} Algorithm for Optimization with General Constraints and Simple Bounds", journal = j-SIAM-J-NUMER-ANAL, volume = "28", number = "2", pages = "545--572", year = "1991", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0728030", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "90C30 (49M30 65K05)", MRnumber = "1087519 (91k:90158)", MRreviewer = "S.-C. Fang", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @TechReport{Conn:1991:ISD, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "An introduction the {Standard Data Input Format} ({SDIF}) for nonlinear mathematical programming problems", type = "Technical Report", number = "91/8", institution = "Department of Mathematics, FUNDP", address = "Namur, Belgium", year = "1991", bibdate = "Wed Mar 15 17:31:20 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Duff:1991: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", 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", MRclass = "65F50", MRnumber = "1105227 (92a:65143)", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Gould:1991:ALS, author = "Nicholas I. M. Gould", title = "An algorithm for large-scale quadratic programming", journal = j-IMA-J-NUMER-ANAL, volume = "11", number = "3", pages = "299--324", year = "1991", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/11.3.299", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "90C20 (65K05)", MRnumber = "1118958 (92g:90125)", MRreviewer = "S. R. Mohan", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Gould:1991:GGE, author = "Nick I. M. Gould", title = "On Growth in {Gaussian} Elimination with Complete Pivoting", journal = j-SIAM-J-MAT-ANA-APPL, volume = "12", number = "2", pages = "354--361", month = apr, year = "1991", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/0612025", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F05 (65G05 65K05)", MRnumber = "1089164 (92a:65091)", bibdate = "Tue Jan 21 08:54:30 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://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", } @TechReport{Conn:1992:ARS, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "Announcement of the Release~{A} of {{\sf LANCELOT}}, a package for nonlinear optimization", number = "92/4", institution = MATH, address = FUNDP, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://www.rl.ac.uk/departments/ccd/numerical/lancelot/blurb.html", }

% note = {Also issued as Research Report RC 18274, % IBM T. J. Watson Research Center, % Yorktown Heights, NY, USA and Technical Report 92/11, % Department of Mathematics, FUNDP, Namur, Belgium}

@TechReport{Conn:1992:CPM, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "Convergence properties of minimization algorithms for convex constraints using a structured trust region", number = "92-069", institution = inst-RAL, address = inst-RAL:adr, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/cgtRAL92069.ps.Z", }

% note = {Also issued as Research Report RC 18049, % IBM T. J. Watson Research Center, % Yorktown Heights, NY, USA and Technical Report 92/07, % Department of Mathematics, FUNDP, Namur, Belgium}

@TechReport{Conn:1992:GCL, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "A globally convergent {Lagrangian} barrier algorithm for optimization with general inequality constraints and simple bounds", number = "92-067", institution = inst-RAL, address = inst-RAL:adr, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/cgtRAL92067.ps.Z", }

% note = {Also issued, under the title % ``Complete Numerical Results for {{\sf LANCELOT}} % {Release A}'', as Research Report RC 18750, % IBM T. J. Watson Research Center, % Yorktown Heights, NY, USA},

@TechReport{Conn:1992:INT, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "Intensive numerical tests with {{\sf LANCELOT}} ({Release A}): the complete results", type = "Technical Report", number = "92/15", institution = "Department of Mathematics, FUNDP", address = "Namur, Belgium", year = "1992", bibdate = "Thu Feb 11 07:14:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/cgtFUNDP9215.ps.Z", acknowledgement = ack-nhfb, } @Book{Conn:1992:LFP, author = "Andrew R. Conn and Nick I. M. Gould and Philippe L. Toint", title = "{Lancelot}: {A} {Fortran} Package for Large-Scale Nonlinear Optimization (Release {A})", number = "17", publisher = pub-SV, address = pub-SV:adr, pages = "xviii + 330", month = sep, year = "1992", ISBN = "3-540-55470-X (Berlin, Heidelberg), 0-387-55470-X (New York)", ISBN-13 = "978-3-540-55470-7 (Berlin, Heidelberg), 978-0-387-55470-9 (New York)", LCCN = "QA402.5 .C648 1992", bibdate = "Sun Sep 28 10:42:07 MDT 1997", bibsource = "http://www.amazon.com/exec/obidos/ISBN=038755470X/wholesaleproductA/; http://www.cbooks.com/; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", price = "US\$89.00; US\$118.95", series = "Springer series in computational mathematics", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=038755470X", acknowledgement = ack-nhfb, keywords = "LANCELOT (computer file); mathematical optimization -- data processing; Mathematical optimization --- Data processing; Mathematics --- Use of --- Computers; nonlinear theories -- data processing; Nonlinear theories --- Data processing", }

% note = {Also in M. S. Moonen, G. H. Golub and % B. L. R. DeMoor, editors, % {\em Linear Algebra for Large-Scale and Real-Time % Applications,} Kluwer Academic Publishers, NATO ASI % Series E: Applied Sciences, vol. 232, 1993}

@InProceedings{Conn:1992:LSN, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", editor = "R. E. {O'Malley, Jr.}", booktitle = "Proceedings of the Second International Conference on Industrial and Applied Mathematics (ICIAM 91, Washington, DC, 1991)", title = "Large-Scale Nonlinear Constrained Optimization", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "51--70", year = "1992", MRclass = "90C30", MRnumber = "1173864", bibdate = "Wed Dec 7 15:09:48 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, }

% note = {Also issued as Research Report RC 18434, % IBM T. J. Watson Research Center, % Yorktown Heights, NY, USA and Technical Report 92/16, % Department of Mathematics, FUNDP, Namur, Belgium}

@TechReport{Conn:1992:NES, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "Numerical experiments with the {{\sf LANCELOT}} package ({Release A}) for large-scale nonlinear optimization", number = "92-075", institution = inst-RAL, address = inst-RAL:adr, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/cgtFUNDP9216.ps.Z", } @InProceedings{Conn:1992:NIIa, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", editor = "D. F. Griffiths and G. A. Watson", booktitle = "Numerical analysis 1991 ({Dundee}, 1991)", title = "On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear equality constraints and simple bounds", volume = "260", publisher = pub-LONGMANS, address = pub-LONGMANS:adr, pages = "49--68", year = "1992", MRclass = "90C30 (65K10)", MRnumber = "1177228", bibdate = "Wed Dec 7 15:09:48 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Pitman Research Notes in Mathematics Series", acknowledgement = ack-nhfb, }

% note = {Also issued as Research Report RC 18382, % IBM T. J. Watson Research Center, % Yorktown Heights, NY, USA and Technical Report 92/14, % Department of Mathematics, FUNDP, Namur, Belgium}

@TechReport{Conn:1992:NIIb, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear inequality constraints and simple bounds", number = "92-068", institution = inst-RAL, address = inst-RAL:adr, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/cgtRAL92068.ps.Z", } @Book{Conn:1992:SLF, author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "{\sf {LANCELOT}}: a Fortran package for large-scale nonlinear optimization (Release {A})", number = "17", publisher = pub-SV, address = pub-SV:adr, year = "1992", ISBN = "3-540-55470-X", ISBN-13 = "978-3-540-55470-7", bibdate = "Wed Dec 7 15:09:48 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Springer Series in Computational Mathematics", }

% note = {Also issued as CERFACS report TR/PA/93/34, % Toulouse, France}

% note = Also issued as Research Report RC 18860, % IBM T. J. Watson Research Center, % Yorktown Heights, NY, USA and Technical Report 93/10, % Department of Mathematics, FUNDP, Namur, Belgium

@TechReport{Arioli:1993:CSD, author = "M. Arioli and T. F. Chan and I. 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 = "Technical Report", number = "RAL-93-066 and TR-PA-93-34", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, year = "1993", bibdate = "Thu Feb 11 07:19:30 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/acdgrRAL93066.ps.Z", acknowledgement = ack-nhfb, } @TechReport{Bongartz:1993:SCC, author = "I. Bongartz and A. R. Conn and N. I. M. Gould and Ph. L. Toint", title = "{{\sf CUTE}}: {Constrained and Unconstrained Testing Environment}", number = "TR/PA/93/10", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", note = "To appear in ACM Transactions on Mathematical Software", URL = "ftp://130.246.8.32/pub/reports/cgtCERFACS9310.ps.Z", } @Article{Conn:1993:GCC, author = "A. R. Conn and Nick I. M. Gould and A. Sartenaer and Ph. L. Toint", title = "Global convergence of a class of trust region algorithms for optimization using inexact projections on convex constraints", journal = j-SIAM-J-OPT, volume = "3", number = "1", pages = "164--221", year = "1993", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/0803009", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C25 (65K05 90C30)", MRnumber = "1202007 (93k:90069)", MRreviewer = "Morgan A. Hanson", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", }

% note = {Also issued as Research Report RC 18900, % IBM T. J. Watson Research Center, % Yorktown Heights, NY, USA and Technical Report 93/01, % Department of Mathematics, FUNDP, Namur, Belgium}

@TechReport{Conn:1993:GCP, author = "A. R. Conn and N. I. M. Gould and A. Sartenaer and Ph. L. Toint", title = "Global Convergence Properties of two Augmented {Lagrangian} Algorithms for Optimization with a combination of general equality and linear Constraints", number = "TR/PA/93/26", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/cgstCERFACS9326.ps.Z", }

% note = {Also issued as Research Report RC 18901, % IBM T. J. Watson Research Center, % Yorktown Heights, NY, USA and Technical Report 93/20, % Department of Mathematics, FUNDP, Namur, Belgium}

@TechReport{Conn:1993:GCT, author = "A. R. Conn and N. I. M. Gould and A. Sartenaer and Ph. L. Toint", title = "Global Convergence of two Augmented {Lagrangian} Algorithms for Optimization with a Combination of General Equality and Linear Constraints", type = "Technical Report", number = "TR/PA/93/26", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1993", bibdate = "Thu Feb 11 07:17:33 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Conn:1993:LCP, author = "A. R. Conn and N. I. M. Gould and A. Sartenaer and Ph. L. Toint", title = "Local Convergence Properties of two Augmented {Lagrangian} Algorithms for Optimization with a Combination of General Equality and Linear Constraints", type = "Technical Report", number = "TR/PA/93/27", institution = inst-CERFACS, address = inst-CERFACS:adr, year = "1993", bibdate = "Thu Feb 11 07:18:25 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/cgstCERFACS9327.ps.Z", acknowledgement = ack-nhfb, } @InProceedings{Conn:1993:LSN, author = "A. R. Conn and N. Gould and Ph. L. Toint", booktitle = "Linear algebra for large scale and real-time applications ({Leuven}, 1992)", title = "Large-scale nonlinear constrained optimization", volume = "232", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "21--48", year = "1993", MRclass = "90C30 (65K05 90-02)", MRnumber = "1250171 (94k:90093)", MRreviewer = "Panos M. Pardalos", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "NATO Adv. Sci. Inst. Ser. E Appl. Sci.", 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 = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.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 = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Conn:1994:CPM, author = "A. R. Conn and N. I. M. Gould and A. Sartenaer and Ph. L. Toint", title = "Convergence properties of minimization algorithm for convex constraints using a structured trust region (revised)", number = "94/5", institution = MATH, address = FUNDP, year = "1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://138.48.4.14/pub/reports/TR94-05.ps", } @InProceedings{Conn:1994:IDP, author = "Andrew R. Conn and Nick I. M. Gould and Philippe L. Toint", editor = "W. W. Hager and D. W. Hearn and P. M. Pardalos", booktitle = "Large scale optimization: State of the Art ({Gainesville, FL}, 1993)", title = "Improving the decomposition of partially separable functions in the context of large-scale optimization: a first approach", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "82--94", year = "1994", DOI = "https://doi.org/10.1007/978-1-4613-3632-7_5", MRclass = "90C30 (90C25)", MRnumber = "1307166", bibdate = "Wed Dec 7 15:09:48 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, }

% note = {Also issued as Research Report RC 189xx, % IBM T. J. Watson Research Center, % Yorktown Heights, NY, USA and Technical Report 94/13, % Department of Mathematics, FUNDP, Namur, Belgium}

@TechReport{Conn:1994:ISM, author = "A. R. Conn and N. I. M. Gould and A. Sartenaer and Ph. L. Toint", title = "On Iterated-Subspace Minimization Methods for Nonlinear Optimization", number = "94-069", institution = inst-RAL, address = inst-RAL:adr, year = "1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/cgstRAL94069.ps.Z", } @InProceedings{Conn:1994:LSN, author = "Andrew R. Conn and Nick I. M. Gould and Philippe L. Toint", editor = "E. Spedicato", booktitle = "Algorithms for continuous optimization: the state of the art ({Il Ciocco}, 1993)", title = "Large-scale nonlinear constrained optimization: a current survey", volume = "434", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "287--332", year = "1994", MRclass = "90-02 (65K05 90C30)", MRnumber = "1314213 (95k:90003)", MRreviewer = "Joachim Hirche", bibdate = "Wed Dec 7 15:09:48 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "NATO Adv. Sci. Inst. Series C: Mathematical and Physical Sciences", acknowledgement = ack-nhfb, } @Article{Conn:1994:NES, author = "Andrew R. Conn and Nick I. M. Gould and Ph. L. Toint", title = "A note on exploiting structure when using slack variables", journal = j-MATH-PROG, volume = "67", number = "1--3", pages = "89--97", year = "1994", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01582214", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K05)", MRnumber = "1300820 (95h:90124)", MRreviewer = "Zulfiqar Ali Khan", bibdate = "Thu Feb 11 06:32:23 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://link.springer.com/article/10.1007/BF01582214", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Conn:1994:NUA, author = "A. R. Conn and Nick I. M. Gould and Ph. L. Toint", title = "A note on using alternative second-order models for the subproblems arising in barrier function methods for minimization", journal = j-NUM-MATH, volume = "68", number = "1", pages = "17--33", month = jun, year = "1994", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050046", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K05)", MRnumber = "1278446 (95a:90119)", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680017.htm; http://science.springer.de/nmee/bibs/4068001/40680017.htm", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alternative second-order models; barrier function methods; Harwell Subroutine Library quadratic programming codes; inequality constrained minimisation; iterative methods; minimisation; minimization; Newton-like methods; quadratic programming; subproblems; VE14; VE19", treatment = "T Theoretical or Mathematical", } @InProceedings{Conn:1994:PMS, author = "A. R. Conn and Nick I. M. Gould and M. Lescrenier and Ph. L. Toint", editor = "S. Gomez and J. P. Hennart and R. A. Tapia", booktitle = "Advances in optimization and numerical analysis, Proceedings of the Sixth workshop on Optimization and Numerical Analysis, {Oaxaca, Mexico}, 1992", title = "Performance of a multifrontal scheme for partially separable optimization", volume = "275", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "79--96", year = "1994", MRclass = "90C30", MRnumber = "1282736 (95a:90118)", bibdate = "Wed Dec 7 15:09:48 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Mathematics and its Applications Series", acknowledgement = ack-nhfb, } @TechReport{Dayde:1994:UEE, author = "M. Dayd{\'e} and J.-Y. L'Excellent and N. I. M. Gould", title = "On the Use of Element-by-Element Preconditioners to Solve Large Scale Partially Separable Optimization Problems", type = "Technical Report", number = "RT/APO/94/4", institution = "ENSEEIHT-IRIT", address = TOULOUSE, year = "1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "ftp://130.246.8.32/pub/reports/degENSEEIHT944.ps.Z", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Bongartz:1995:CCU, author = "I. Bongartz and A. R. Conn and Nick Gould and Ph.L. Toint", title = "{CUTE}: Constrained and Unconstrained Testing Environment", journal = j-TOMS, volume = "21", number = "1", pages = "123--160", month = mar, year = "1995", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/200979.201043", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Mar 14 16:17:24 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p123-bongartz/", acknowledgement = ack-rfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", subject = "D.2.2 [Software Engineering]: Tools and Techniques -- modules and interfaces; G.1.6 [ Numerical Analysis]: Optimization -- constrained", } @InProceedings{Dayd:1995:SSS, author = "M. J. Dayd{\'e} and J.-Y. L'Excellent and N. I. M. Gould", editor = "Svetozar D. Margenov and Panayot S. Vassilevski", booktitle = "Iterative methods in linear algebra, II. Proceedings of the 2nd IMACS international symposium on iterative methods in linear algebra, Blagoevgrad, Bulgaria, June 17--20, 1995 (1996)", title = "Solution of structured systems of linear equations using element-by-element preconditioners", volume = "3", publisher = pub-IMACS, address = pub-IMACS:adr, bookpages = "v + 493", pages = "??--??", year = "1995", ISSN = "1098-870X", ISSN-L = "1098-870X", LCCN = "QA1 I617 v. 3", bibdate = "Thu Feb 11 06:34:57 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "IMACS series in computational and applied mathematics", acknowledgement = ack-nhfb, } @Article{Conn:1996:CPA, author = "A. R. Conn and N. Gould and A. Sartenaer and Ph. L. Toint", title = "Convergence properties of an augmented {Lagrangian} algorithm for optimization with a combination of general equality and linear constraints", journal = j-SIAM-J-OPT, volume = "6", number = "3", pages = "674--703", year = "1996", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623493251463", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (65K05)", MRnumber = "1402200 (97g:90127)", MRreviewer = "Chang Yu Wang", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/25146", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Conn:1996:CPM, author = "A. R. Conn and Nick Gould and A. Sartenaer and Ph. L. Toint", title = "Convergence properties of minimization algorithms for convex constraints using a structured trust region", journal = j-SIAM-J-OPT, volume = "6", number = "4", pages = "1059--1086", year = "1996", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623492236481", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C25 (65K05)", MRnumber = "1416529 (97j:90052)", MRreviewer = "Bernd Luderer", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/23648", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @InProceedings{Conn:1996:ISM, author = "A. R. Conn and Nick Gould and A. Sartenaer and Ph. L. Toint", booktitle = "Linear and nonlinear conjugate gradient-related methods ({Seattle}, {WA}, 1995)", title = "On iterated-subspace minimization methods for nonlinear optimization", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "50--78", year = "1996", MRclass = "90C30 (65K05)", MRnumber = "1446296", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Conn:1996:NEL, author = "A. R. Conn and Nick Gould and Ph. L. Toint", title = "Numerical experiments with the {LANCELOT} package ({Release A}) for large-scale nonlinear optimization", journal = j-MATH-PROG, volume = "73", number = "1, Ser. A", pages = "73--110", year = "1996", CODEN = "MHPGA4", DOI = "https://doi.org/10.1016/0025-5610(95)00054-2", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K05)", MRnumber = "1389669 (97d:90085)", MRreviewer = "K. Schittkowski", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Dayde:1996:PSU, author = "M. J. Dayd{\'e} and J.-Y. L'Excellent and N. I. M. Gould", title = "Preprocessing of Sparse Unassembled Linear Systems for Efficient Solution Using Element-by-element Preconditioners", journal = j-LECT-NOTES-COMP-SCI, volume = "1124", pages = "34--43", year = "1996", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Tue Oct 29 14:12:39 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @InProceedings{Dayde:1996:SLS, author = "Michel J. Dayd{\'e} and J{\'e}r{\^o}me P. D{\'e}camps and Jean-Yves L'Excellent and Nicholas I. M. Gould", booktitle = "Poster Session of the Fifth SIAM Conference on Optimization", title = "Solution of large-scale partially separable optimization problems using element-by-element preconditioners", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", } @TechReport{Bongartz:1997:NCBa, author = "I. Bongartz and A. R. Conn and N. I. M. Gould and M. A. Saunders and Ph. L. Toint", title = "A numerical comparison between the {LANCELOT} and {MINOS} packages for large-scale nonlinear optimization", type = "Technical Report", number = "RAL-TR 97-054", institution = inst-RAL, address = inst-RAL:adr, year = "1997", bibdate = "Thu Feb 11 07:20:22 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Bongartz:1997:NCBb, author = "I. Bongartz and A. R. Conn and N. I. M. Gould and M. A. Saunders and Ph. L. Toint", title = "A numerical comparison between the {LANCELOT} and {MINOS} packages for large-scale nonlinear optimization: the complete results", type = "Technical Report", number = "97/14", institution = "Department of Mathematics, FUNDP", address = "Namur, Belgium", year = "1997", bibdate = "Thu Feb 11 07:21:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Conn:1997:GCL, author = "A. R. Conn and Nick Gould and Ph. L. Toint", title = "A globally convergent {Lagrangian} barrier algorithm for optimization with general inequality constraints and simple bounds", journal = j-MATH-COMPUT, volume = "66", number = "217", pages = "261--288, S1--S11", month = jan, year = "1997", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-97-00777-1", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "90C30 (65K05)", MRnumber = "1370850 (97c:90101)", MRreviewer = "Florian Jarre", bibdate = "Fri Jul 16 10:38:40 MDT 1999", bibsource = "http://www.ams.org/mcom/1997-66-217; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-97-00777-1&u=/mcom/1997-66-217/", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @InProceedings{Conn:1997:MNC, author = "Andrew R. Conn and Nicholas I. M. Gould and Philippe L. Toint", title = "Methods for Nonlinear Constraints in Optimization Calculations", crossref = "Duff:1997:SAN", pages = "363--390", year = "1997", MRclass = "90C30 (65K05)", MRnumber = "1628353 (99c:90116)", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Article{Conn:1997:NII, author = "A. R. Conn and N. Gould and Ph. L. Toint", title = "On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear inequality constraints and simple bounds", journal = j-COMP-OPTIM-APPL, volume = "7", number = "1", pages = "41--69", year = "1997", CODEN = "CPPPEF", DOI = "https://doi.org/10.1023/A:1008667728545", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C30 (65K05)", MRnumber = "1438096 (98c:90131)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", note = "Computational issues in high performance software for nonlinear optimization (Capri, 1995)", acknowledgement = ack-nhfb, fjournal = "Computational optimization and applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10589", } @Article{Conn:1997:SGC, author = "A. R. Conn and Nick Gould and Ph. L. Toint", title = "Supplement to {``A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds''}", journal = j-MATH-COMPUT, volume = "66", number = "217", pages = "S1--S11", month = jan, year = "1997", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Jul 26 10:22:11 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dayde:1997:EEP, author = "Michel J. Dayd{\'e} and Jean-Yves L'Excellent and Nicholas I. M. Gould", title = "Element-by-element preconditioners for large partially separable optimization problems", journal = j-SIAM-J-SCI-COMP, volume = "18", number = "6", pages = "1767--1787", month = nov, year = "1997", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827594274796", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "90C30; 90Cxx", MRnumber = "1480634 (98j:90070)", MRreviewer = "K. Schittkowski", bibdate = "Fri Dec 4 14:47:53 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/18/6; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/27479", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @InProceedings{Dayde:1997:SLS, author = "M. J. Dayd{\'e} and J. P. D{\'e}camps and J.-Y. L'Excellent and N. I. M. Gould", editor = "????", booktitle = "Proceedings of NAFEMS World Congress 97, Glasgow, Scotland", title = "Solution of large scale partially separable unconstrained optimization problems using element-by-element preconditioners", volume = "2", publisher = "????", address = "????", pages = "942--953", year = "1997", bibdate = "Thu Feb 11 06:41:10 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://www.nafems.org/", acknowledgement = ack-nhfb, keywords = "International Association for the Engineering Modelling, Analysis and Simulation Community (NAFEMS)", } @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", journal = j-BIT-NUM-MATH, volume = "37", number = "3", pages = "??--??", month = sep, year = "1997", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", bibdate = "Mon Jan 02 09:53:18 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.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", } @Article{Dayde:1998:UBS, author = "M. J. Dayd{\'e} and J. P. D{\'e}camps and N. I. M. Gould", title = "On the Use of Block Stretching for Solving Unassembled Linear Systems", journal = "Calculateurs Parall{\'e}les, R{\'e}seaux et Syst{\'e}mes R{\'e}partis", volume = "10", number = "4", pages = "391--399", month = "????", year = "1998", DOI = "", ISSN = "1260-3198", ISSN-L = "1260-3198", bibdate = "Thu Feb 11 06:42:41 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "", acknowledgement = ack-nhfb, remark = "Journal published 1994--1999; no online archive yet found.", } @InProceedings{Gould:1998:LAM, author = "Nicholas I. M. Gould and Stefano Lucidi and Massimo Roma and Philippe L. Toint", booktitle = "High performance algorithms and software in nonlinear optimization ({Ischia}, 1997)", title = "A linesearch algorithm with memory for unconstrained optimization", volume = "24", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "207--223", year = "1998", MRclass = "90C30 (65K05)", MRnumber = "1789717 (2001g:90055)", MRreviewer = "Paul H. Calamai", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Appl. Optim.", acknowledgement = ack-nhfb, } @InProceedings{Gould:1998:MAV, author = "Nicholas I. M. Gould and Jorge Nocedal", booktitle = "High performance algorithms and software in nonlinear optimization ({Ischia}, 1997)", title = "The modified absolute-value factorization norm for trust-region minimization", volume = "24", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "225--241", year = "1998", MRclass = "90C30 (90C53)", MRnumber = "1789718 (2001e:90093)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Appl. Optim.", acknowledgement = ack-nhfb, } @Article{Gould:1998:SAI, author = "Nicholas I. M. Gould and Jennifer A. Scott", title = "Sparse approximate-inverse preconditioners using norm-minimization techniques", journal = j-SIAM-J-SCI-COMP, volume = "19", number = "2", pages = "605--625", year = "1998", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827595288425", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F50 (65F35)", MRnumber = "1618848", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/28842", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Dayde:1999:SSP, author = "Michel J. Dayd{\'e} and J{\'e}r{\^o}me P. D{\'e}camps and Nicholas I. M. Gould", title = "Subspace-by-subspace preconditioners for structured linear systems", journal = j-NUM-LIN-ALG-APPL, volume = "6", number = "3", pages = "213--234", month = apr # "\slash " # may, year = "1999", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/(SICI)1099-1506(199904/05)6:3<213::AID-NLA161>3.3.CO%3B2-M", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65F10 (65F35)", MRnumber = "1706337 (2000d:65050)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @InProceedings{Gould:1999:IMI, author = "N. I. M. Gould", title = "Iterative methods for ill--conditioned linear systems from optimization", crossref = "DiPillo:2000:NOR", pages = "123--142", year = "1999", bibdate = "Thu Feb 11 06:44:35 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Gould:1999:MFL, author = "Nicholas Ian Mark Gould", title = "On modified factorizations for large-scale linearly constrained optimization", journal = j-SIAM-J-OPT, volume = "9", number = "4", pages = "1041--1063", month = sep, year = "1999", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623495290660", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (90C53)", MRnumber = "1724775 (2000h:90073)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", note = "Dedicated to John E. Dennis, Jr., on his 60th birthday", URL = "http://epubs.siam.org/sam-bin/dbq/article/29066", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Gould:1999:NCB, author = "Nicholas I. M. Gould and Philippe L. Toint", title = "A note on the convergence of barrier algorithms to second-order necessary points", journal = j-MATH-PROG, volume = "85", number = "2, Ser. A", pages = "433--438", year = "1999", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s101070050066", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K05)", MRnumber = "1700192 (2000c:90082)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Gould:1999:STR, author = "Nicholas I. M. Gould and Stefano Lucidi and Massimo Roma and Philippe L. Toint", title = "Solving the trust-region subproblem using the {Lanczos} method", journal = j-SIAM-J-OPT, volume = "9", number = "2", pages = "504--525", month = mar, year = "1999", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623497322735", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C20 (65F10 65K05 90C30)", MRnumber = "1686795 (2000b:90046)", MRreviewer = "Horst Hollatz", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/32273", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @InProceedings{Conn:2000:PDA, author = "Andrew R. Conn and Nicholas I. M. Gould and Philippe L. Toint", title = "A primal--dual algorithm for minimizing a nonconvex function subject to bound and linear equality constraints", crossref = "DiPillo:2000:NOR", pages = "15--50", year = "2000", MRclass = "90C26 (90C51)", MRnumber = "1777912 (2001e:90061)", MRreviewer = "Bernd Luderer", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, xxpages = "15--49", } @Article{Conn:2000:PDT, author = "Andrew R. Conn and Nicholas I. M. Gould and Dominique Orban and Philippe L. Toint", title = "A primal-dual trust-region algorithm for non-convex nonlinear programming", journal = j-MATH-PROG, volume = "87", number = "2, Ser. B", pages = "215--249", year = "2000", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s101070050112", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C51 (90C30)", MRnumber = "1763849 (2001e:90140)", MRreviewer = "Joaqu{\'\i}m J. J{\'u}dice", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", note = "Studies in algorithmic optimization", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Book{Conn:2000:TRM, author = "Andrew R. Conn and Nicholas I. M. Gould and Philippe L. Toint", title = "Trust-region methods", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xx + 959", year = "2000", ISBN = "0-89871-460-5", ISBN-13 = "978-0-89871-460-9", MRclass = "90-02 (65-02 65K05 90C30)", MRnumber = "1774899 (2003e:90002)", MRreviewer = "Henry Wolkowicz", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "MPS/SIAM Series on Optimization", acknowledgement = ack-nhfb, } @Article{Gould:2000:ENC, author = "N. I. M. Gould and S. Lucidi and M. Roma and Ph. L. Toint", title = "Exploiting negative curvature directions in linesearch methods for unconstrained optimization", journal = j-OPTIM-METHODS-SOFTW, volume = "14", number = "1-2", pages = "75--98", year = "2000", CODEN = "OMSOE2", DOI = "https://doi.org/10.1080/10556780008805794", ISSN = "1055-6788", ISSN-L = "1026-7670", MRclass = "90C30 (65K05)", MRnumber = "1809604 (2001m:90104)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", note = "International Conference on Nonlinear Programming and Variational Inequalities (Hong Kong, 1998)", acknowledgement = ack-nhfb, fjournal = "Optimization Methods and Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @InProceedings{Gould:2000:IMI, author = "Nicholas I. M. Gould", booktitle = "Nonlinear optimization and related topics ({Erice}, 1998)", title = "Iterative methods for ill-conditioned linear systems from optimization", volume = "36", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "123--141", year = "2000", MRclass = "65F30 (90C08)", MRnumber = "1777917 (2001d:65059)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Appl. Optim.", acknowledgement = ack-nhfb, } @TechReport{Gould:2000:QPB, author = "N. I. M. Gould and D. Orban and Ph. L. Toint", title = "A Quadratic Programming Bibliography", type = "Numerical Analysis Group Internal Report", number = "2000-1", institution = inst-RAL, address = inst-RAL:adr, year = "2000", bibdate = "Thu Feb 11 07:23:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @InProceedings{Gould:2000:SML, author = "Nicholas I. M. Gould and Philippe L. Toint", booktitle = "System modelling and optimization ({Cambridge}, 1999)", title = "{SQP} methods for large-scale nonlinear programming", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "149--178", year = "2000", MRclass = "90C30 (90C55)", MRnumber = "1770270 (2001f:90048)", MRreviewer = "Christian Zillober", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Keller:2000:CPI, author = "Carsten Keller and Nicholas I. M. Gould and Andrew J. Wathen", title = "Constraint preconditioning for indefinite linear systems", journal = j-SIAM-J-MAT-ANA-APPL, volume = "21", number = "4", pages = "1300--1317", year = "2000", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479899351805", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F10 (65F50)", MRnumber = "1780274 (2002b:65050)", MRreviewer = "David R. Kincaid", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/35180", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Gould:2001:SCP, author = "Nicholas I. M. Gould and Dominique Orban and Annick Sartenaer and Philippe L. Toint", title = "Superlinear convergence of primal-dual interior point algorithms for nonlinear programming", journal = j-SIAM-J-OPT, volume = "11", number = "4", pages = "974--1002", month = mar # "\slash " # may, year = "2001", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623400370515", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C51 (65K05 90C30)", MRnumber = "1855217 (2002g:90147)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/37051", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Gould:2001:SEC, author = "Nicholas I. M. Gould and Mary E. Hribar and Jorge Nocedal", title = "On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization", journal = j-SIAM-J-SCI-COMP, volume = "23", number = "4", pages = "1376--1395", month = jul, year = "2001", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827598345667", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "90C20 (65K05)", MRnumber = "1885606 (2002k:90072)", MRreviewer = "K. Schittkowski", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://epubs.siam.org/toc/sjoce3/23/4; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/34566", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Fletcher:2002:GCT, author = "Roger Fletcher and Nicholas I. M. Gould and Sven Leyffer and Philippe L. Toint and Andreas W{\"a}chter", title = "Global convergence of a trust-region {SQP}-filter algorithm for general nonlinear programming", journal = j-SIAM-J-OPT, volume = "13", number = "3", pages = "635--659", year = "2002", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623499357258", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (65K05 90C55)", MRnumber = "1972208 (2004b:90105)", MRreviewer = "Christian Zillober", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/35725", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Gould:2002:CFC, author = "Nicholas I. M. Gould and Dominique Orban and Annick Sartenaer and Philippe L. Toint", title = "Componentwise fast convergence in the solution of full-rank systems of nonlinear equations", journal = j-MATH-PROG, volume = "92", number = "3, Ser. B", pages = "481--508", year = "2002", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s101070100287", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "65H10 (65H20)", MRnumber = "1905763 (2003e:65088)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", note = "ISMP 2000, Part 2 (Atlanta, GA)", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Gould:2002:IWS, author = "Nicholas I. M. Gould and Philippe L. Toint", title = "An iterative working-set method for large-scale nonconvex quadratic programming", journal = j-APPL-NUM-MATH, volume = "43", number = "1--2", pages = "109--128", month = oct, year = "2002", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/S0168-9274(02)00120-4", ISSN = "0168-9274 (print), 1873-5460 (electronic)", ISSN-L = "0168-9274", MRclass = "90C20 (90C26)", MRnumber = "1936105 (2003i:90049)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", note = "19th Dundee Biennial Conference on Numerical Analysis (2001)", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", journal-URL = "http://www.sciencedirect.com/science/journal/01689274", } @InProceedings{Gould:2002:NML, author = "Nicholas I. M. Gould and Philippe L. Toint", booktitle = "Trends in industrial and applied mathematics ({Amritsar}, 2001)", title = "Numerical methods for large-scale non-convex quadratic programming", volume = "72", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "149--179", year = "2002", MRclass = "90C20 (90C06)", MRnumber = "1954107 (2003m:90085)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Appl. Optim.", acknowledgement = ack-nhfb, } @TechReport{Gould:2002:RNE, author = "N. I. M. Gould and D. Orban and Ph. L. Toint", title = "Results from a numerical evaluation of {LANCELOT B}", type = "Numerical Analysis Group Internal Report", number = "2002-1", institution = inst-RAL, address = inst-RAL:adr, year = "2002", bibdate = "Thu Feb 11 07:24:51 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Byrd:2003:CSL, author = "R. H. Byrd and N. I. M. Gould and J. Nocedal and R. A. Waltz", title = "On the convergence of successive linear programming algorithms", type = "Technical Report", number = "RAL-TR-2003-013", institution = inst-RAL, address = inst-RAL:adr, year = "2003", bibdate = "Thu Feb 11 07:25:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @TechReport{Gould:2003:CRN, author = "N. I. M. Gould and J. A. Scott", title = "Complete results from a numerical evaluation of {HSL} packages for the direct-solution of large sparse, symmetric linear systems of equations", type = "Numerical Analysis Group Internal Report", number = "2003-2", institution = inst-RAL, address = inst-RAL:adr, year = "2003", bibdate = "Thu Feb 11 07:26:43 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Gould:2003:CSC, author = "Nicholas I. M. Gould and Dominique Orban and Philippe L. Toint", title = "{CUTEr} and {SifDec}: {A} constrained and unconstrained testing environment, revisited", journal = j-TOMS, volume = "29", number = "4", pages = "373--394", month = dec, year = "2003", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/962437.962438", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Jan 5 17:18:49 MST 2004", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", abstract = "The initial release of CUTE, a widely used testing environment for optimization software, was described by Bongartz, et al. [1995]. A new version, now known as CUTEr, is presented. Features include reorganisation of the environment to allow simultaneous multi-platform installation, new tools for, and interfaces to, optimization packages, and a considerably simplified and entirely automated installation procedure for Unix systems. The environment is fully backward compatible with its predecessor, and offers support for Fortran 90/95 and a general C/C++ Application Programming Interface. The SIF decoder, formerly a part of CUTE, has become a separate tool, easily callable by various packages. It features simple extensions to the SIF test problem format and the generation of files suited to automatic differentiation packages.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @TechReport{Gould:2003:FFF, author = "N. I. M. Gould and Ph. L. Toint", title = "{FILTRANE}, a {Fortran 95} filter-trust-region package for solving nonlinear feasibility problems", type = "Technical Report", number = "RAL-TR-2003-017", institution = inst-RAL, address = inst-RAL:adr, year = "2003", bibdate = "Thu Feb 11 06:56:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/fortran3.bib", acknowledgement = ack-nhfb, } @InProceedings{Gould:2003:FIA, author = "N. I. M. Gould and Philippe L. Toint", editor = "David F. Griffiths and G. Alistair Watson", booktitle = "Proceedings of the 20th Biennial Conference on Numerical Analysis, 24--27 June, 2003, University of Dundee, Scotland", title = "The filter idea and its application to the nonlinear feasibility problem", volume = "NA/217", publisher = "????", address = "????", bookpages = "iv + 116", pages = "73--79", year = "2003", LCCN = "QA297 .D85 2003", bibdate = "Thu Feb 11 06:53:27 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Numerical analysis report", URL = "http://www.maths.dundee.ac.uk/~naconf/", acknowledgement = ack-nhfb, } @InProceedings{Gould:2003:GCH, author = "Nick Gould and Philippe L. Toint", booktitle = "System modeling and optimization, {XX} ({Trier}, 2001)", title = "Global convergence of a hybrid trust-region {SQP}-filter algorithm for general nonlinear programming", volume = "130", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "23--54", year = "2003", MRclass = "90C30 (65K05 90C55)", MRnumber = "2022763 (2004m:90144)", MRreviewer = "Christian Zillober", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "IFIP Int. Fed. Inf. Process.", acknowledgement = ack-nhfb, } @Article{Gould:2003:GLT, author = "Nicholas I. M. Gould and Dominique Orban and Philippe L. Toint", title = "{GALAHAD}, a library of thread-safe {Fortran 90} packages for large-scale nonlinear optimization", journal = j-TOMS, volume = "29", number = "4", pages = "353--372", month = dec, year = "2003", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/962437.962438", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90-04 (90C06 90C20)", MRnumber = "2077337 (2005b:90006)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", abstract = "We describe the design of version 1.0 of GALAHAD, a library of Fortran 90 packages for large-scale nonlinear optimization. The library particularly addresses quadratic programming problems, containing both interior point and active set algorithms, as well as tools for preprocessing problems prior to solution. It also contains an updated version of the venerable nonlinear programming package, LANCELOT.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @InProceedings{Gould:2003:IAN, author = "Nicholas I. M. Gould and Sven Leyffer", booktitle = "Frontiers in numerical analysis ({Durham}, 2002)", title = "An introduction to algorithms for nonlinear optimization", publisher = pub-SV, address = pub-SV:adr, pages = "109--197", year = "2003", MRclass = "90C30 (65Kxx 90-02 90C51)", MRnumber = "2006967 (2004m:90145)", MRreviewer = "S. Zlobec", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Universitext", acknowledgement = ack-nhfb, } @TechReport{Gould:2003:IPP, author = "N. I. M. Gould and D. Orban and Ph. L. Toint", title = "An interior-point $ l[1]$-penalty method for nonlinear optimization", type = "Technical Report", number = "RAL-TR-2003-022", institution = inst-RAL, address = inst-RAL:adr, year = "2003", bibdate = "Thu Feb 11 07:27:51 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Gould:2003:SRC, author = "Nicholas I. M. Gould", title = "Some Reflections on the Current State of Active-Set and Interior-Point Methods for Constrained Optimization", journal = "{SIAG/OPT} Views-and-News", volume = "14", number = "1", pages = "2--7", month = apr, year = "2003", bibdate = "Thu Feb 11 06:50:51 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://www.mcs.anl.gov/~leyffer/views/14-1.pdf", acknowledgement = ack-nhfb, journal-URL = "http://wiki.siam.org/siag-op/index.php/View_and_News", } @Article{Byrd:2004:ANO, author = "Richard H. Byrd and Nicholas I. M. Gould and Jorge Nocedal and Richard A. Waltz", title = "An algorithm for nonlinear optimization using linear programming and equality constrained subproblems", journal = j-MATH-PROG, volume = "100", number = "1, Ser. B", pages = "27--48", year = "2004", CODEN = "MHPGA4", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (90C55)", MRnumber = "2072285 (2005c:90085)", MRreviewer = "Stefan M. Stefanov", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InCollection{Gould:2004:HMN, author = "Nick Gould and Philippe L. Toint", booktitle = "Applied mathematics entering the 21st century", title = "How mature is nonlinear optimization?", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "141--161", year = "2004", MRclass = "90C30 (90C90 93-02)", MRnumber = "2296266 (2007m:90088)", MRreviewer = "K. Schittkowski", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Gould:2004:MFA, author = "Nicholas I. M. Gould and Sven Leyffer and Philippe L. Toint", title = "A multidimensional filter algorithm for nonlinear equations and nonlinear least-squares", journal = j-SIAM-J-OPT, volume = "15", number = "1", pages = "17--38", year = "2004", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623403422637", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (65H10 90C06)", MRnumber = "2112974 (2005m:90117)", MRreviewer = "Paul H. Calamai", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/42263", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Gould:2004:NEH, author = "Nicholas I. M. Gould and Jennifer A. Scott", title = "A numerical evaluation of {HSL} packages for the direct solution of large sparse, symmetric linear systems of equations", journal = j-TOMS, volume = "30", number = "3", pages = "300--325", month = sep, year = "2004", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1024074.1024077", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65F50)", MRnumber = "2124394 (2005i:65036)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", abstract = "In recent years, a number of new direct solvers for the solution of large sparse, symmetric linear systems of equations have been added to the mathematical software library HSL. These include solvers that are designed for the solution of positive-definite systems as well as solvers that are principally intended for solving indefinite problems. The available choice can make it difficult for users to know which solver is the most appropriate for their use. In this study, we use performance profiles as a tool for evaluating and comparing the performance of the HSL solvers on an extensive set of test problems taken from a range of practical applications.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @Article{Gould:2004:PNP, author = "Nick Gould and Sven Leyffer and Philippe Toint", title = "Preface: {Nonlinear} programming: theory and practice [{Special} issue on large scale nonconvex optimization algorithms and applications in honor of {Roger Fletcher}'s 65th birthday]", journal = j-MATH-PROG, volume = "100", number = "1, Ser. B", pages = "1--2", year = "2004", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-003-0483-6", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "00B30 (90-06 90C20 90C30 90C55)", MRnumber = "2069160", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Gould:2004:PQP, author = "Nick Gould and Philippe L. Toint", title = "Preprocessing for quadratic programming", journal = j-MATH-PROG, volume = "100", number = "1, Ser. B", pages = "95--132", year = "2004", CODEN = "MHPGA4", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C20", MRnumber = "2072928 (2005e:90084)", MRreviewer = "Eugenia Duca", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InCollection{Scott:2004:ESD, author = "Jennifer A. Scott and Yifan Hu and Nicholas I. M. Gould", title = "An evaluation of sparse direct symmetric solvers: an introduction and preliminary findings", crossref = "Dongarra:2006:APC", pages = "818--827", year = "2004", DOI = "https://doi.org/10.1007/11558958_98", bibdate = "Thu Feb 11 06:55:32 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Byrd:2005:CSL, author = "Richard H. Byrd and Nicholas I. M. Gould and Jorge Nocedal and Richard A. Waltz", title = "On the Convergence of Successive Linear-Quadratic Programming Algorithms", journal = j-SIAM-J-OPT, volume = "16", number = "2", pages = "471--489", month = "????", year = "2005", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623403426532", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C55 (90C30)", MRnumber = "2197991 (2006j:90137)", MRreviewer = "Marco Gaviano", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/42653", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @TechReport{Dollar:2005:UCP, author = "H. S. Dollar and N. I. M. Gould and W. H. A. Schilders and A. J. Wathen", title = "Using constraint preconditioners with regularized saddle-point problems", type = "Technical Report", number = "RAL-TR-2005-026", institution = inst-RAL, address = inst-RAL:adr, year = "2005", bibdate = "Thu Feb 11 07:02:02 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, remark = "To appear in \booktitle{Computational Optimization and Applications}.", } @TechReport{Gould:2005:CRN, author = "N. I. M. Gould and Y. Hu and J. A. Scott", title = "Complete results from a numerical evaluation of sparse direct solvers for the solution of large, sparse, symmetric linear systems of equations", type = "Numerical Analysis Group Internal Report", number = "2005-1", institution = inst-RAL, address = inst-RAL:adr, year = "2005", bibdate = "Thu Feb 11 07:28:42 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Gould:2005:FTR, author = "Nick I. M. Gould and Caroline Sainvitu and Philippe L. Toint", title = "A filter-trust-region method for unconstrained optimization", journal = j-SIAM-J-OPT, volume = "16", number = "2", pages = "341--357", month = "????", year = "2005", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/040603851", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (65K05 90C26)", MRnumber = "2197983 (2006i:90076)", MRreviewer = "Giovanni Fasano", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/60385", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @TechReport{Gould:2005:NES, author = "N. I. M. Gould and Y. Hu and J. A. Scott", title = "A numerical evaluation of sparse direct solvers for the solution of large, sparse, symmetric linear systems of equations", type = "Technical Report", number = "RAL-TR-2005-005", institution = inst-RAL, address = inst-RAL:adr, year = "2005", bibdate = "Thu Feb 11 07:00:40 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, } @Article{Gould:2005:NML, author = "Nick Gould and Dominique Orban and Philippe Toint", title = "Numerical methods for large-scale nonlinear optimization", journal = j-ACTA-NUMERICA, volume = "14", pages = "299--361", year = "2005", CODEN = "ANUMFU", DOI = "https://doi.org/10.1017/S0962492904000248", ISBN = "0-521-85807-0", ISBN-13 = "978-0-521-85807-6", ISSN = "0962-4929 (print), 1474-0508 (electronic)", ISSN-L = "0962-4929", MRclass = "90C30 (65K10 90-02)", MRnumber = "2168345 (2006h:90068)", MRreviewer = "Claudia A. Sagastiz{\'a}bal", bibdate = "Sat Sep 24 10:35:17 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/actanumerica.bib", acknowledgement = ack-nhfb, ajournal = "Acta Numer.", fjournal = "Acta Numerica", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU", onlinedate = "19 April 2005", } @Article{Gould:2005:STR, author = "Nicholas I. M. Gould and Dominique Orban and Annick Sartenaer and Phillipe L. Toint", title = "Sensitivity of trust-region algorithms to their parameters", journal = "4OR", volume = "3", number = "3", pages = "227--241", month = sep, year = "2005", DOI = "https://doi.org/10.1007/s10288-005-0065-y", ISSN = "1619-4500", MRclass = "90C55 (90C30)", MRnumber = "2177962 (2006i:90118)", MRreviewer = "Alberto Seeger", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "4OR. Quarterly Journal of the Belgian, French and Italian Operations Research Societies", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10288", } @InCollection{Dollar:2006:IFC, author = "H. Sue Dollar and Nicholas I. M. Gould and Andrew J. Wathen", booktitle = "Large-scale nonlinear optimization", title = "On implicit-factorization constraint preconditioners", volume = "83", publisher = pub-SV, address = pub-SV:adr, pages = "61--82", year = "2006", DOI = "https://doi.org/10.1007/0-387-30065-1_5", MRclass = "65F10 (90C47)", MRnumber = "2194567 (2006j:65083)", MRreviewer = "P. K. Subramanian", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Nonconvex Optim. Appl.", acknowledgement = ack-nhfb, } @Article{Dollar:2006:IFP, author = "H. Sue Dollar and Nicholas I. M. Gould and Wil H. A. Schilders and Andrew J. Wathen", title = "Implicit-Factorization Preconditioning and Iterative Solvers for Regularized Saddle-Point Systems", journal = j-SIAM-J-MAT-ANA-APPL, volume = "28", number = "1", pages = "170--189", month = jan, year = "2006", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/05063427X", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "90C47 (65F10 65F35 90C60)", MRnumber = "2218948 (2007d:90122)", MRreviewer = "Javier F. Pe{\~n}a", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @InCollection{Gould:2006:GCN, author = "Nicholas I. M. Gould and Philippe L. Toint", booktitle = "Multiscale optimization methods and applications", title = "Global convergence of a non-monotone trust-region filter algorithm for nonlinear programming", volume = "82", publisher = pub-SV, address = pub-SV:adr, pages = "125--150", year = "2006", DOI = "https://doi.org/10.1007/0-387-29550-X_5", MRclass = "90C30 (90C55)", MRnumber = "2191580", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", series = "Nonconvex Optim. Appl.", acknowledgement = ack-nhfb, } @Article{Dollar:2007:UCP, author = "H. S. Dollar and N. I. M. Gould and W. H. A. Schilders and A. J. Wathen", title = "Using constraint preconditioners with regularized saddle-point problems", journal = j-COMP-OPTIM-APPL, volume = "36", number = "2-3", pages = "249--270", year = "2007", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-006-9004-x", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "65F10 (65K10 90C47)", MRnumber = "2312009 (2008a:65064)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Computational optimization and applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10589", } @Article{Gould:2007:FFF, author = "Nicholas I. M. Gould and Philippe L. Toint", title = "{FILTRANE}, a {Fortran 95} filter-trust-region package for solving nonlinear least-squares and nonlinear feasibility problems", journal = j-TOMS, volume = "33", number = "1", pages = "3:1--3:23", month = mar, year = "2007", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1206040.1206043", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Apr 14 09:48:58 MDT 2007", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/toms.bib", abstract = "FILTRANE, a new Fortran 95 package for finding vectors satisfying general sets of nonlinear equations and/or inequalities, is presented. Several algorithmic variants are discussed and extensively compared on a set of CUTEr test problems, indicating that the default variant is both reliable and efficient. This discussion provides a first experimental study of the parameters inherent in filter algorithms.", acknowledgement = ack-nhfb, articleno = "3", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @Article{Gould:2007:NES, author = "Nicholas I. M. Gould and Jennifer A. Scott and Yifan Hu", title = "A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations", journal = j-TOMS, volume = "33", number = "2", pages = "1--32", month = jun, year = "2007", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1236463.1236465", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65F05)", MRnumber = "2326954 (2008e:65152)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", abstract = "In recent years a number of solvers for the direct solution of large sparse symmetric linear systems of equations have been developed. These include solvers that are designed for the solution of positive definite systems as well as those that are principally intended for solving indefinite problems. In this study, we use performance profiles as a tool for evaluating and comparing the performance of serial sparse direct solvers on an extensive set of symmetric test problems taken from a range of practical applications.", acknowledgement = ack-nhfb, articleno = "10", fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @Article{Gould:2008:HGP, author = "Nicholas I. M. Gould", title = "How good are projection methods for convex feasibility problems?", journal = j-COMP-OPTIM-APPL, volume = "40", number = "1", pages = "1--12", year = "2008", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-007-9073-5", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C05 (65K10 90C25)", MRnumber = "2386586 (2009a:90062)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Computational optimization and applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10589", } @Article{Cartis:2009:TRO, author = "C. Cartis and N. I. M. Gould and P. L. Toint", title = "Trust-region and other regularisations of linear least-squares problems", journal = j-BIT-NUM-MATH, volume = "49", number = "1", pages = "21--53", month = mar, year = "2009", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/s10543-008-0206-8", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65F10 (90C25)", MRnumber = "2486127 (2010g:65046)", MRreviewer = "Joaqu{\'\i}m J. J{\'u}dice", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=49&issue=1&spage=21", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", } @Article{Gould:2009:SAS, author = "N. I. M. Gould and V. Simoncini", title = "Spectral analysis of saddle point matrices with indefinite leading blocks", journal = j-SIAM-J-MAT-ANA-APPL, volume = "31", number = "3", pages = "1152--1171", year = "2009", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/080733413", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "15A42 (65F08 65F10)", MRnumber = "2558817", MRreviewer = "Alexander N. Malyshev", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Bellavia:2010:CRE, author = "S. Bellavia and C. Cartis and N. I. M. Gould and B. Morini and Ph. L. Toint", title = "Convergence of a regularized {Euclidean} residual algorithm for nonlinear least-squares", journal = j-SIAM-J-NUMER-ANAL, volume = "48", number = "1", pages = "1--29", month = "????", year = "2010", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/080732432", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65K10 (90C26)", MRnumber = "2608356 (2011e:65095)", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Cartis:2010:CSD, author = "C. Cartis and N. I. M. Gould and Ph. L. Toint", title = "On the Complexity of Steepest Descent, {Newton}'s and Regularized {Newton}'s Methods for Nonconvex Unconstrained Optimization Problems", journal = j-SIAM-J-OPT, volume = "20", number = "6", pages = "2833--2852", month = "????", year = "2010", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/090774100", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (49M37 65K05 90C60)", MRnumber = "2721157 (2011i:90120)", MRreviewer = "Klaus Meer", bibdate = "Mon Nov 29 07:14:28 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/20/6; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "September 09, 2010", } @Article{Dollar:2010:PSP, author = "H. Sue Dollar and Nicholas I. M. Gould and Martin Stoll and Andrew J. Wathen", title = "Preconditioning Saddle-Point Systems with Applications in Optimization", journal = j-SIAM-J-SCI-COMP, volume = "32", number = "1", pages = "249--270", month = "????", year = "2010", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/080727129", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F08 (90C30)", MRnumber = "2599777 (2011a:65080)", MRreviewer = "Daniel Potts", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Gould:2010:NPP, author = "N. I. M. Gould and Ph. L. Toint", title = "Nonlinear programming without a penalty function or a filter", journal = j-MATH-PROG, volume = "122", number = "1, Ser. A", pages = "155--196", year = "2010", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-008-0244-7", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (90C52)", MRnumber = "2533756 (2010f:90160)", MRreviewer = "K. Schittkowski", bibdate = "Wed Aug 31 11:38:14 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Gould:2010:SAS, author = "N. I. M. Gould and V. Simoncini", title = "Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks", journal = j-SIAM-J-MAT-ANA-APPL, volume = "31", number = "3", pages = "1152--1171", month = "????", year = "2010", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/080733413", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", bibdate = "Tue May 18 22:32:37 MDT 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Gould:2010:SDSa, author = "Nicholas I. M. Gould and Daniel P. Robinson", title = "A Second Derivative {SQP} Method: Global Convergence", journal = j-SIAM-J-OPT, volume = "20", number = "4", pages = "2023--2048", month = "????", year = "2010", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/080744542", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C55 (49M37 90C30)", MRnumber = "2630032 (2012a:90210)", MRreviewer = "Michael Patriksson", bibdate = "Wed May 19 10:00:29 MDT 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/20/4; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Gould:2010:SDSb, author = "Nicholas I. M. Gould and Daniel P. Robinson", title = "A Second Derivative {SQP} Method: Local Convergence and Practical Issues", journal = j-SIAM-J-OPT, volume = "20", number = "4", pages = "2049--2079", month = "????", year = "2010", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/080744554", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C55 (49M37 90C30)", MRnumber = "2630033 (2012a:90211)", MRreviewer = "Michael Patriksson", bibdate = "Wed May 19 10:00:29 MDT 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/20/4; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Gould:2010:STR, author = "Nicholas I. M. Gould and Daniel P. Robinson and H. Sue Thorne", title = "On solving trust-region and other regularised subproblems in optimization", journal = j-MATH-PROGRAM-COMPUT, volume = "2", number = "1", pages = "21--57", year = "2010", CODEN = "????", DOI = "https://doi.org/10.1007/s12532-010-0011-7", ISSN = "1867-2949 (print), 1867-2957 (electronic)", ISSN-L = "1867-2957", MRclass = "90C30 (65K10 90C26)", MRnumber = "2601719 (2011c:90097)", MRreviewer = "Warren L. Hare", bibdate = "Wed Aug 31 11:16:53 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", URL = "http://www.springerlink.com/openurl.asp?genre=journal%26issn=1867-295", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming Computation", journal-URL = "http://link.springer.com/journal/12532", } @Article{Cartis:2011:ACRa, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "Adaptive cubic regularisation methods for unconstrained optimization. {Part} {I}: motivation, convergence and numerical results", journal = j-MATH-PROG, volume = "127", number = "2, Ser. A", pages = "245--295", year = "2011", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-009-0286-5", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (49M15 49M37 65K10)", MRnumber = "2776701 (2012b:90180)", MRreviewer = "C. Ilioi", bibdate = "Tue Apr 3 06:48:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Cartis:2011:ACRb, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "Adaptive cubic regularisation methods for unconstrained optimization. {Part} {II}: worst-case function- and derivative-evaluation complexity", journal = j-MATH-PROG, volume = "130", number = "2, Ser. A", pages = "295--319", year = "2011", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-009-0337-y", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (49M15 49M37 65K10)", MRnumber = "2855872", MRreviewer = "C. Ilioi", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Cartis:2011:ECC, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "On the Evaluation Complexity of Composite Function Minimization with Applications to Nonconvex Nonlinear Programming", journal = j-SIAM-J-OPT, volume = "21", number = "4", pages = "1721--1739", month = "????", year = "2011", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/11082381X", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (49M37 65K05 68Q25 90C26 90C60)", MRnumber = "2869514", MRreviewer = "Stefan M. Stefanov", bibdate = "Thu Feb 9 07:58:29 MST 2012", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/21/4; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/siamjopt.bib", URL = "http://epubs.siam.org/siopt/resource/1/sjope8/v21/i4/p1721_s1", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "December 22, 2011", } @Article{Browne:2012:FMB, author = "P. A. Browne and C. Budd and N. I. M. Gould and H. A. Kim and J. A. Scott", title = "A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints", journal = j-INT-J-NUMER-METHODS-ENG, volume = "92", number = "12", pages = "1026--1043", year = "2012", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/nme.4367", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "49Q12 (74G60 90C30)", MRnumber = "2998845", MRreviewer = "Antonio Andr{\'e} Novotny", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.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{Cartis:2012:ACR, author = "C. Cartis and N. I. M. Gould and Ph. L. Toint", title = "An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity", journal = j-IMA-J-NUMER-ANAL, volume = "32", number = "4", pages = "1662--1695", month = oct, year = "2012", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drr035", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "90C26 (90C59)", MRnumber = "2991841", MRreviewer = "Nicolas Gillis", bibdate = "Mon Oct 22 10:10:16 MDT 2012", bibsource = "http://imanum.oxfordjournals.org/content/32/4.toc; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib", URL = "http://imajna.oxfordjournals.org/content/32/4/1662.full.pdf+html", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", onlinedate = "January 17, 2012", } @Article{Cartis:2012:CBS, author = "C. Cartis and N. I. M. Gould and Ph. L. Toint", title = "Complexity bounds for second-order optimality in unconstrained optimization", journal = j-J-COMPLEXITY, volume = "28", number = "1", pages = "93--108", year = "2012", CODEN = "JOCOEH", DOI = "https://doi.org/10.1016/j.jco.2011.06.001", ISSN = "0885-064x (print), 1090-2708 (electronic)", ISSN-L = "0885-064X", MRclass = "90C26 (65K10 65Y20 90C60)", MRnumber = "2871787", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Complexity", journal-URL = "http://www.sciencedirect.com/science/journal/0885064X", } @Article{Cartis:2012:ECA, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization", journal = j-OPTIM-METHODS-SOFTW, volume = "27", number = "2", pages = "197--219", year = "2012", DOI = "https://doi.org/10.1080/10556788.2011.602076", ISSN = "1055-6788", ISSN-L = "1026-7670", MRclass = "90C53 (90C25 90C60)", MRnumber = "2901957", MRreviewer = "C. Ilioi", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Cartis:2012:OCF, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "On the Oracle Complexity of First-Order and Derivative-Free Algorithms for Smooth Nonconvex Minimization", journal = j-SIAM-J-OPT, volume = "22", number = "1", pages = "66--86", month = "????", year = "2012", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/100812276", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C26 (49M37 65K05 68Q25)", MRnumber = "2902685", MRreviewer = "Zhen Jun Shi", bibdate = "Thu Feb 9 07:58:33 MST 2012", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/22/1; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/siamjopt.bib", URL = "http://epubs.siam.org/siopt/resource/1/sjope8/v22/i1/p66_s1", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "January 17, 2012", } @Article{Gould:2012:ENP, author = "N. I. M. Gould and Ph. L. Toint", title = "Erratum to: {Nonlinear} programming without a penalty function or a filter [MR2533756]", journal = j-MATH-PROG, volume = "131", number = "1-2, Ser. A", pages = "403--404", year = "2012", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-011-0491-x", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (90C52)", MRnumber = "2886154", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Gould:2012:HGE, author = "Nicholas I. M. Gould", title = "How good are extrapolated bi-projection methods for linear feasibility problems?", journal = j-COMP-OPTIM-APPL, volume = "51", number = "3", pages = "1089--1095", year = "2012", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-011-9414-2", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "65K05 (90C05)", MRnumber = "2891929", MRreviewer = "Magdalena Nockowska-Rosiak", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10589", } @Article{Gould:2012:SDS, author = "Nicholas I. M. Gould and Daniel P. Robinson", title = "A second-derivative {SQP} method with a `trust-region-free' predictor step", journal = j-IMA-J-NUMER-ANAL, volume = "32", number = "2", pages = "580--601", month = apr, year = "2012", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drq043", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "90C55 (65K05 90C30)", MRnumber = "2911401", MRreviewer = "Andrea Walther", bibdate = "Tue Apr 3 06:18:25 MDT 2012", bibsource = "http://imanum.oxfordjournals.org/content/32/2.toc; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib", URL = "http://imajna.oxfordjournals.org/content/32/2/580.full.pdf+html", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", onlinedate = "July 4, 2011", } @Article{Gould:2012:URP, author = "N. I. M. Gould and M. Porcelli and P. L. Toint", title = "Updating the regularization parameter in the adaptive cubic regularization algorithm", journal = j-COMP-OPTIM-APPL, volume = "53", number = "1", pages = "1--22", year = "2012", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-011-9446-7", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C26 (65K10)", MRnumber = "2964833", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10589", } @Article{Cartis:2013:ECC, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization", journal = j-SIAM-J-OPT, volume = "23", number = "3", pages = "1553--1574", year = "2013", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/120869687", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C60 (65F20 65K10 68Q25 90C26)", MRnumber = "3084179", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Cartis:2013:NAC, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "A note about the complexity of minimizing {Nesterov}'s smooth {Chebyshev}-{Rosenbrock} function", journal = j-OPTIM-METHODS-SOFTW, volume = "28", number = "3", pages = "451--457", year = "2013", DOI = "https://doi.org/10.1080/10556788.2012.722632", ISSN = "1055-6788", ISSN-L = "1026-7670", MRclass = "90C60 (90C30)", MRnumber = "3060942", MRreviewer = "Lu{\'{\i}}s M. S. Russo", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Fowkes:2013:BBA, author = "Jaroslav M. Fowkes and Nicholas I. M. Gould and Chris L. Farmer", title = "A branch and bound algorithm for the global optimization of {Hessian} {Lipschitz} continuous functions", journal = j-J-GLOBAL-OPT, volume = "56", number = "4", pages = "1791--1815", year = "2013", CODEN = "JGOPEO", DOI = "https://doi.org/10.1007/s10898-012-9937-9", ISSN = "0925-5001 (print), 1573-2916 (electronic)", ISSN-L = "0925-5001", MRclass = "90C26", MRnumber = "3078333", MRreviewer = "Daniela Lera", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering", journal-URL = "http://link.springer.com/journal/10898", } @Article{Gould:2013:TFM, author = "Nicholas I. M. Gould and Dominique Orban and Daniel P. Robinson", title = "Trajectory-following methods for large-scale degenerate convex quadratic programming", journal = j-MATH-PROGRAM-COMPUT, volume = "5", number = "2", pages = "113--142", year = "2013", DOI = "https://doi.org/10.1007/s12532-012-0050-3", ISSN = "1867-2949 (print), 1867-2957 (electronic)", ISSN-L = "1867-2957", MRclass = "90C20 (90-04 90C51)", MRnumber = "3069876", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming Computation", journal-URL = "http://link.springer.com/journal/12532", } @Article{Cartis:2014:CFF, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "On the complexity of finding first-order critical points in constrained nonlinear optimization", journal = j-MATH-PROG, volume = "144", number = "1-2, Ser. A", pages = "93--106", year = "2014", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-012-0617-9", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "68Q25 (90C30 90C60)", MRnumber = "3179956", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Cartis:2014:ECC, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "On the Evaluation Complexity of Cubic Regularization Methods for Potentially Rank-Deficient Nonlinear Least-Squares Problems and Its Relevance to Constrained Nonlinear Optimization", journal = j-SIAM-J-OPT, volume = "23", number = "3", pages = "1553--1574", month = "????", year = "2014", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/120869687", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", bibdate = "Tue Feb 11 11:33:17 MST 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/23/3; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/siamjopt.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "January 2013", } @Article{Gould:2014:FMU, author = "Nicholas I. M. Gould and Yueling Loh and Daniel P. Robinson", title = "A Filter Method with Unified Step Computation for Nonlinear Optimization", journal = j-SIAM-J-OPT, volume = "24", number = "1", pages = "175--209", month = "????", year = "2014", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/130920599", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C55 (90C26)", MRnumber = "3158793", MRreviewer = "Hiroshi Yabe", bibdate = "Thu Feb 12 06:59:06 MST 2015", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/24/1; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/siamjopt.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "January 2014", } @Article{Gould:2014:PKM, author = "Nick Gould and Dominique Orban and Tyrone Rees", title = "Projected {Krylov} methods for saddle-point systems", journal = j-SIAM-J-MAT-ANA-APPL, volume = "35", number = "4", pages = "1329--1343", year = "2014", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/130916394", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F10 (15A06 65F08 65F50 90C20)", MRnumber = "3274367", MRreviewer = "Vladimir B. Larin", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Bienstock:2015:NFT, author = "Daniel Bienstock and Philip E. Gill and Nick Gould", title = "A note on ``{On} fast trust region methods for quadratic models with linear constraints'', by {Michael} {J.D}. {Powell} [{Preface}]", journal = j-MATH-PROGRAM-COMPUT, volume = "7", number = "3", pages = "235", year = "2015", DOI = "https://doi.org/10.1007/s12532-015-0085-3", ISSN = "1867-2949 (print), 1867-2957 (electronic)", ISSN-L = "1867-2957", MRclass = "01A70", MRnumber = "3384935", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming Computation", journal-URL = "http://link.springer.com/journal/12532", } @Article{Cartis:2015:ECC, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "On the Evaluation Complexity of Constrained Nonlinear Least-Squares and General Constrained Nonlinear Optimization Using Second-Order Methods", journal = j-SIAM-J-NUMER-ANAL, volume = "53", number = "2", pages = "836--851", month = "????", year = "2015", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/130915546", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65K05 (65Y20 68Q25 90C26 90C30 90C60)", MRnumber = "3325759", MRreviewer = "Luis M. Brice{\~n}o-Arias", bibdate = "Sat Jun 6 08:35:44 MDT 2015", bibsource = "http://epubs.siam.org/toc/sjnaam/53/2; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal2010.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", onlinedate = "January 2015", } @Article{Gould:2015:CUT, author = "Nicholas I. M. Gould and Dominique Orban and Philippe L. Toint", title = "{$ \mathsf {CUTEst} $}: a constrained and unconstrained testing environment with safe threads for mathematical optimization", journal = j-COMP-OPTIM-APPL, volume = "60", number = "3", pages = "545--557", year = "2015", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-014-9687-3", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90-04 (68W40)", MRnumber = "3320935", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10589", } @Article{Gould:2015:NFS, author = "Nicholas I. M. Gould and Yueling Loh and Daniel P. Robinson", title = "A Nonmonotone Filter {SQP} Method: Local Convergence and Numerical Results", journal = j-SIAM-J-OPT, volume = "25", number = "3", pages = "1885--1911", month = "????", year = "2015", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/140996677", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C55 (49M05 65K05 90C20)", MRnumber = "3400029", bibdate = "Tue Feb 9 08:14:28 MST 2016", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/25/3; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/siamjopt.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "January 2015", } @Article{Curtis:2016:AAL, author = "Frank E. Curtis and Nicholas I. M. Gould and Hao Jiang and Daniel P. Robinson", title = "Adaptive augmented {Lagrangian} methods: algorithms and practical numerical experience", journal = j-OPTIM-METHODS-SOFTW, volume = "31", number = "1", pages = "157--186", year = "2016", DOI = "https://doi.org/10.1080/10556788.2015.1071813", ISSN = "1055-6788", ISSN-L = "1026-7670", MRclass = "49M05 (49M15 49M29 49M37 65K05 65K10 90C06 90C30)", MRnumber = "3439458", bibdate = "Wed Feb 10 15:17:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib", acknowledgement = ack-nhfb, fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Gould:2016:DTS, author = "N. Gould and C. Ortner and D. Packwood", title = "A dimer-type saddle search algorithm with preconditioning and linesearch", journal = j-MATH-COMPUT, volume = "85", number = "302", pages = "2939--2966", month = nov, year = "2016", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Nov 5 12:22:19 MDT 2016", bibsource = "http://www.ams.org/mcom/2016-85-302; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "http://www.ams.org/journals/mcom/2016-85-302/S0025-5718-2016-03096-3; http://www.ams.org/journals/mcom/2016-85-302/S0025-5718-2016-03096-3/S0025-5718-2016-03096-3.pdf; http://www.ams.org/mathscinet/search/author.html?authorName=Packwood%2C%20D.; http://www.ams.org/mathscinet/search/author.html?mrauthid=75720; http://www.ams.org/mathscinet/search/author.html?mrauthid=803698", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cartis:2020:MEN, author = "Coralia Cartis and Nicholas I. M. Gould and Marius Lange", title = "On monotonic estimates of the norm of the minimizers of regularized quadratic functions in {Krylov} spaces", journal = j-BIT-NUM-MATH, volume = "60", number = "3", pages = "??--??", month = sep, year = "2020", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/s10543-019-00791-2", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Sat Sep 5 09:12:05 MDT 2020", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "https://link.springer.com/article/10.1007/s10543-019-00791-2", acknowledgement = ack-nhfb, fjournal = "BIT Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", online-date = "Published: 13 December 2019", } @Article{Cartis:2020:SWC, author = "Coralia Cartis and Nicholas I. M. Gould and Philippe L. Toint", title = "Sharp Worst-Case Evaluation Complexity Bounds for Arbitrary-Order Nonconvex Optimization with Inexpensive Constraints", journal = j-SIAM-J-OPT, volume = "30", number = "1", pages = "513--541", month = "????", year = "2020", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/17M1144854", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", bibdate = "Thu May 28 10:47:01 MDT 2020", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/30/1; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/siamjopt.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "January 2020", }

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

@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 = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.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{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 = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.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 = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; http://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; http://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", } @Proceedings{DiPillo:2000:NOR, editor = "Gianni {Di Pillo} and Franco Giannessi", booktitle = "Nonlinear Optimization and Related Topics", title = "Nonlinear Optimization and Related Topics", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "vii + 487", year = "2000", ISBN = "0-7923-6109-1 (hardcover)", ISBN-13 = "978-0-7923-6109-1 (hardcover)", LCCN = "QA402.5 .N55 2000", bibdate = "Thu Feb 11 06:44:35 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; z3950.loc.gov:7090/Voyager", series = "Applied optimization", URL = "http://www.loc.gov/catdir/enhancements/fy0822/99056953-d.html; http://www.loc.gov/catdir/enhancements/fy0822/99056953-t.html", acknowledgement = ack-nhfb, remark = "Based on lectures presented at the Workshop on Nonlinear Optimization held in Erice, Sicily, June 23--July 2, 1998.", subject = "Mathematical optimization; Congresses; Nonlinear theories", } @Proceedings{Dongarra:2006:APC, editor = "Jack Dongarra and Kaj Madsen and Jerzy Wasniewski", booktitle = "{Applied Parallel Computing: State of the Art in Scientific Computing. 7th International Workshop, PARA 2004, Lyngby, Denmark, June 20--23, 2004. Revised Selected Papers}", title = "{Applied Parallel Computing: State of the Art in Scientific Computing. 7th International Workshop, PARA 2004, Lyngby, Denmark, June 20--23, 2004. Revised Selected Papers}", volume = "3732", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "2006", CODEN = "LNCSD9", DOI = "https://doi.org/10.1007/11558958", ISBN = "3-540-29067-2 (softcover)", ISBN-13 = "978-3-540-29067-4 (softcover)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", LCCN = "????", bibdate = "Wed Apr 5 19:40:10 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/lncs.bib; z3950.loc.gov:7090/Voyager", series = ser-LNCS, URL = "http://www.springerlink.com/content/978-3-540-29067-4; http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=3732", acknowledgement = ack-nhfb, }

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