%%% ==================================================================== %%% BibTeX-file{ %%% author = "Desmond J. Higham and Nicholas J. Higham", %%% version = "1.00", %%% date = "21 November 2016", %%% filename = "matlab-guide-3ed.bib", %%% address = "School of Mathematics %%% University of Manchester %%% Manchester M13 9PL %%% England", %%% telephone = "+44 (0)161 275 5822", %%% FAX = "+44 (0)161 306 3669", %%% checksum = "" %%% email = "nick.higham at manchester.ac.uk (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography, MATLAB", %%% supported = "yes", %%% docstring = "BibTeX bibliography for the book \cite{hihi:MG3}: %%% MATLAB Guide, third edition, %%% by Desmond J. Higham and Nicholas J. Higham, %%% SIAM, 2017" %%% } %%% ==================================================================== %%% The URL (Uniform Resource Locator) of this file is %%% %%% URL = "http://www.maths.manchester.ac.uk/~higham/mg/matlab-guide-3ed.bib" %%%% %%% String definitions needed by this file are in strings.bib at %%% https://raw.githubusercontent.com/higham/njhigham-bib/master/strings.bib @book{acto70, author = "Forman S. Acton", title = "Numerical Methods That Work", publisher = "Harper and Row", address = "New York", year = 1970, pages = "xviii+541", note = "Reprinted by Mathematical Association of America, Washington, D.C., with new preface and additional problems, 1990", isbn = "0-88385-450-3" } @book{altm15, author = "Yair Altman", title = "Accelerating {MATLAB} Performance. {$1101$} Tips to Speed up {MATLAB} Programs", publisher = pub-CRC, address = pub-CRC:adr, year = 2015, pages = "xxv+743", isbn = "978-1-4822-1129-0" } @article{aphi16, author = "Mary Aprahamian and Nicholas J. Higham", title = "Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: {Theory} and Algorithms", journal = j-SIMAX, volume = 37, number = 4, pages = "1453-1477", year = 2016, doi = "10.1137/16M1057577", } @book{ash94, author = "Russell Ash", title = "The Top {$10$} of Everything", publisher = "Dorland Kindersley", address = "London", year = 1994, pages = 288, isbn = "0-7513-0137-X", } @book{aspe98, author = "Uri M. Ascher and Linda R. Petzold", title = "Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations", publisher = pub-SIAM, address = pub-SIAM:adr, year = 1998, pages = "xvii+314", isbn = "0-89871-412-5", } @book{atki89, author = "Kendall E. Atkinson", title = "An Introduction to Numerical Analysis", edition = "Second", publisher = pub-Wiley, address = pub-Wiley:adr, year = 1989, pages = "xvi+693", isbn = "0-471-50023-2" } @book{bbcd94, author = "Richard Barrett and Michael Berry and Tony F. Chan and James Demmel and June Donato and Jack Dongarra and Victor Eijkhout and Roldan Pozo and Charles Romine and Van der Vorst, Henk", title = "Templates for the Solution of Linear Systems: {Building} Blocks for Iterative Methods", publisher = pub-SIAM, address = pub-SIAM:adr, year = 1994, pages = "xiii+112", isbn = "0-89871-328-5" } @book{bcp96, author = "K. E. Brenan and S. L. Campbell and L. R. Petzold", title = "Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations", publisher = pub-SIAM, address = pub-SIAM:adr, year = 1996, isbn = "0-89871-353-6", note = "Corrected republication of work first published in 1989 by North-Holland, New York", pages = "x+256", } @book{bddr00, editor = "Zhaojun Bai and James W. Demmel and Jack J. Dongarra and Axel Ruhe and Van der Vorst, Henk A.", title = "Templates for the Solution of Algebraic Eigenvalue Problems: {A} Practical Guide", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xxix+410", isbn = "0-89871-471-0", year = 2000, doi = "10.1137/1.9780898719581" } @book{bent86, author = "Jon L. Bentley", title = "Programming Pearls", publisher = pub-AW, address = pub-AW:adr, pages = "viii+195", year = 1986, isbn = "0-201-10331-1", } @book{bent88, author = "Jon L. Bentley", title = "More Programming Pearls: {Confessions} of a Coder", publisher = pub-AW, address = pub-AW:adr, pages = "viii+207", year = 1988, isbn = "0-201-11889-0", } @book{blww04, author = "Folkmar Bornemann and Dirk Laurie and Stan Wagon and J{\"o}rg Waldvogel", title = "The {SIAM} {$100$}-Digit Challenge: {A} Study in High-Accuracy Numerical Computing", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2004, pages = "xi+306", isbn = "0-89871-561-X" } @inproceedings{cool90, author = "James W. Cooley", title = "How the {FFT} Gained Acceptance", editor = "Stephen G. Nash", booktitle = "A History of Scientific Computing", publisher = pub-AW # ", " # pub-AW:adr, mycrossref = "nash90", pages = "133-140", year = 1990 } @article{bota07, author = "David Borland and Taylor II, Russell M.", title = "Rainbow Color Map (Still) Considered Harmful", journal = "IEEE Computer Graphics and Applications", volume = 27, number = 2, pages = "14-17", month = "March/April", year = 2007, doi = "10.1109/MCG.2007.323435" } @article{buch84, author = "A. Buchheim", title = "On the Theory of Matrices", journal = j-PROC-LMS, volume = 16, pages = "63-82", year = 1884, doi = "10.1112/plms/s1-16.1.63" } @book{cofi13, author = "Robert M. Corless and Nicolas Fillion", title = "A Graduate Introduction to Numerical Methods From the Viewpoint of Backward Error Analysis", publisher = pub-Springer, address = pub-Springer:adr-L, year = 2013, pages = "xxxix+868", doi = "10.1007/978-1-4614-8453-0", isbn = "978-1-4614-8452-3" } @book{corl02, author = "Robert M. Corless", title = "Essential Maple {$7$}: {An} Introduction for Scientific Programmers", publisher = pub-Springer, address = pub-Springer:adr-NY, year = 2002, pages = "xv+282", isbn = "0-387-95352-3", } @article{cotu65, author = "James W. Cooley and John W. Tukey", title = "An Algorithm for the Machine Calculation of Complex {Fourier} Series", journal = j-MATH-COMP, volume = 19, number = 90, pages = "297-301", year = 1965, doi = "10.1090/S0025-5718-1965-0178586-1" } @article{cril00, author = "Tony Crilly", title = "The Appearance of Set Operators in {Cayley's} Group Theory", journal = "Notices of the South African Mathematical Society", volume = 31, pages = "9-22", year = 2000 } @book{csv09, author = "Andrew R. Conn and Katya Scheinberg and Luis N. Vicente", title = "Introduction to Derivative-Free Optimization", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2009, pages = "xii+277", isbn = "978-0-898716-68-9" } @book{dabj74, author = "Germund Dahlquist and {\AA}ke Bj{\"o}rck", title = "Numerical Methods", publisher = pub-PH, address = pub-PH:adr, year = 1974, pages = "xviii+573", isbn = "0-13-627315-7", note = "Translated by Ned Anderson" } @article{davi04b, author = "Davis, Timothy A.", title = "Algorithm 832: {UMFPACK V4.3}---{An} Unsymmetric-Pattern Multifrontal Method", journal = j-TOMS, volume = 30, number = 2, pages = "196-199", month = jun, year = 2004, doi = "10.1145/992200.992206" } @book{davi06, author = "Timothy A. Davis", title = "Direct Methods for Sparse Linear Systems", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2006, pages = "xii+217", isbn = "0-89871-613-6" } @article{davi13, author = "Davis, Timothy A.", title = "Algorithm 930: {FACTORIZE}: {An} Object-Oriented Linear System Solver for {MATLAB}", journal = j-TOMS, volume = 39, number = 4, month = jul, year = 2013, pages = "28:1--28:18", doi = "10.1145/2491491.2491498" } @book{davi62, author = "Harold T. Davis", title = "Introduction to Nonlinear Differential and Integral Equations", publisher = pub-Dover, address = pub-Dover:adr, year = 1962, pages = "xv+566", isbn= "0-486-60971-5", } @article{ddef05, author = "James W. Demmel and Jack Dongarra and Victor Eijkhout and Erika Fuentes and Antoine Petitet and Richard Vuduc and R. Clint Whaley and Katherine Yellick", title = "Self-Adapting Linear Algebra Algorithms and Software", journal = "Proc. IEEE", volume = 93, number = 2, pages = "293-312", year = 2005, doi = "10.1109/JPROC.2004.840848" } @article{dehi16, author = "Edvin Deadman and Nicholas J. Higham", title = "Testing Matrix Function Algorithms Using Identities", journal = j-TOMS, volume = 42, number = 1, pages = "4:1--4:15", month = jan, year = 2016, doi = "10.1145/2723157", } @book{demm97, author = "James W. Demmel", title = "Applied Numerical Linear Algebra", publisher = pub-SIAM, address = pub-SIAM:adr, year = 1997, pages = "xi+419", isbn = "0-89871-389-7", doi = "10.1137/1.9781611971446" } @book{der86, author = "I. S. Duff and A. M. Erisman and J. K. Reid", title = "Direct Methods for Sparse Matrices", publisher = pub-OUP, year = 1986, pages = "xiii+341", isbn = "0-19-853408-6" } @book{dht14, author = "Tobin A. Driscoll and Nicholas Hale and Lloyd N. Trefethen", title = "Chebfun Guide", publisher = "Pafnuty Publications", address = "Oxford", year = 2014, url = "http://www.chebfun.org/docs/guide/" } @article{dihi13, author = "Nicholas J. Dingle and Nicholas J. Higham", title = "Reducing the Influence of Tiny Normwise Relative Errors on Performance Profiles", journal = j-TOMS, volume = 39, number = 4, pages = "24:1-24:11", year = 2013, doi = "10.1145/2491491.2491494", } @misc{dijk98, author = "Dijkstra, Edsger W.", title = "On the Cruelty of Really Teaching Computing Science", year = 1998, month = dec, howpublished = "\url{https://www.cs.utexas.edu/users/EWD/transcriptions/EWD10xx/EWD1036.html}" } @article{domo02, author = "Elizabeth D. Dolan and Jorge J. Mor{\'e}", title = "Benchmarking Optimization Software with Performance Profiles", journal = j-MATH-PROG, volume = 91, pages = "201-213", year = 2002, doi = "10.1007/s101070100263" } @article{dosu00, author = "Jack J. Dongarra and Francis Sullivan", title = "Introduction to the Top 10 Algorithms", journal = j-CSE, volume = 2, number = 1, month = "Jan/Feb", pages = "22-23", year = 2000 } @article{drs16, author = "Timothy A. Davis and Sivasankaran Rajamanickam and Wissam M. Sid-Lakhdar", title = "A Survey of Direct Methods for Sparse Linear Systems", journal = j-AN, volume = 25, pages = "383-566", year = 2016, doi = "10.1017/S0962492916000076" } @article{duff04, author = "Duff, Iain S.", title = "{MA57}---{A} Code for the Solution of Sparse Symmetric Definite and Indefinite Systems", journal = j-TOMS, volume = 30, number = 2, pages = "118-144", month = jun, year = 2004, doi = "10.1145/992200.992202" } @article{eddi09, author = "Steven L. Eddins", title = "Automated Software Testing for {MATLAB}", journal = j-CSE, volume = 11, number = 6, pages = "48-54", year = 2009 } @misc{eddi14, author = "Steven L. Eddins", title = "Rainbow Color Map Critiques: {An} Overview and Annotated Bibliography", year = 2014, howpublished = "\url{http://mathworks.com/company/newsletters/articles/rainbow-color-map-critiques-an-overview-and-annotated-bibliography.html}" } @inproceedings{edel93, author = "Alan Edelman", title = "Eigenvalue Roulette and Random Test Matrices", booktitle = "Linear Algebra for Large Scale and Real-Time Applications", series = "NATO ASI Series E", volume = 232, editor = "Marc S. Moonen and Gene H. Golub and Bart L. De Moor", pages = "365-368", publisher = pub-Kluwer # ", " # pub-Kluwer:adr, year = 1993 } @article{eks94, author = "Alan Edelman and Eric Kostlan and Michael Shub", title = "How Many Eigenvalues of a Random Matrix are Real?", journal = j-JAMS, volume = 7, number = 1, pages = "247-267", year = 1994 } @article{emtr99, author = "Mark Embree and Lloyd N. Trefethen", title = "Growth and Decay of Random {Fibonacci} Sequences", journal = j-PROC-RSA, volume = 455, pages = "2471-2485", year = 1999, } @misc{fftw, author = "Matteo Frigo and Steven G. Johnson", title = "{FFTW}", note = "\url{http://www.fftw.org/}", } @book{fmm77, author = "George E. Forsythe and Michael A. Malcolm and Cleve B. Moler", title = "Computer Methods for Mathematical Computations", publisher = pub-PH, address = pub-PH:adr, year = 1977, pages = "xi+259", isbn = "0-13-165332-6", } @book{forn95, author = "Bengt Fornberg", title = "A Practical Guide to Pseudospectral Methods", publisher = pub-CUP, address = pub-CUP:adr, year = 1995, pages = "x+231", isbn = "0-521-49582-2", } @article{free08, author = "Linton C. Freeman", title = "Going the Wrong Way Down a One-Way Street: {Centrality} in Physics and Biology", journal = "J. Social Structure", volume = 9, pages = "", year = 2008, url = "https://www.cmu.edu/joss/content/articles/volume9/Freeman/", } @book{gds15, author = "David F. Griffiths and John W. Dold and David J. Silvester", title = "Essential Partial Differential Equations: {Analytical} and Computational Aspects", publisher = pub-Springer, address = pub-Springer:adr-L, pages = "xi+368", year = 2015, doi = "10.1007/978-3-319-22569-2", isbn = " 978-3-319-22568-5", } @article{gema86, author = "Stuart Geman", title = "The Spectral Radius of Large Random Matrices", journal = "Ann. Probab.", volume = 14, number = 4, pages = "1318-1328", year = 1986, } @inproceedings{gesk90, author = "C. W. Gear and R. D. Skeel", title = "The Development of {ODE} Methods: {A} Symbiosis Between Hardware and Numerical Analysis", editor = "Stephen G. Nash", booktitle = "A History of Scientific Computing", publisher = pub-AW # ", " # pub-AW:adr, mycrossref = "nash90", pages = "88-105", year = 1990, } @article{gms92, author = "John R. Gilbert and Cleve B. Moler and Robert S. Schreiber", title = "Sparse Matrices in {MATLAB}: {Design} and Implementation", journal = j-SIMAX, volume = 13, number = 1, pages = "333-356", year = 1992, } @book{gova13, author = "Gene H. Golub and Van Loan, Charles F.", title = "Matrix Computations", edition = "Fourth", publisher = pub-JH, address = pub-JH:adr, year = 2013, pages = "xxi+756", isbn = "978-1-4214-0794-4", } @book{gree97, author = "Anne Greenbaum", title = "Iterative Methods for Solving Linear Systems", publisher = pub-SIAM, address = pub-SIAM:adr, year = 1997, pages = "xiii+220", isbn = "0-89871-396-X", } @book{grhi10, author = "David F. Griffiths and Desmond J. Higham", title = "Numerical Methods for Ordinary Differential Equations", publisher = pub-Springer, address = pub-Springer:adr-L, year = 2010, pages = "x+271", isbn = "978-0-85729-147-9", } @book{grhi16, author = "David F. Griffiths and Desmond J. Higham", title = "Learning {\LaTeX}", edition = "Second", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2016, pages = "x+103", isbn = "978-1-611974-41-6", } @book{grin15, author = "Peter Grindrod", title = "Mathematical Underpinnings of Analytics. {Theory} and Applications", publisher = pub-OUP, address = pub-OUP:adr-NY, year = 2015, pages = "xiii+261", isbn = "978-0-19-872509-1", } @article{gull04, author = "Ned Gulley", title = "In Praise of Tweaking: {A} Wiki-like Programming Contest", journal = "Interactions", volume = 11, number = 3, pages = "18-23", month = "May/June", year = 2004, doi = "10.1145/986253.986264", } @book{harr78, title = "Indexers on Indexing: {A} Selection of Articles Published in \emph{The Indexer}", editor = "Leonard Montague Harrod", publisher = "R. K. Bowker", address = "London", pages = "x+430", year = 1978, isbn = "0-8352-1099-5", } @book{hawa96, author = "E. Hairer and G. Wanner", title = "Solving Ordinary Differential Equations {II}: {Stiff} and Differential-Algebraic Problems", edition = "Second", publisher = pub-Springer, address = pub-Springer:adr-B, year = 1996, doi = "10.1007/978-3-642-05221-7", pages = "xv+614", isbn = "3-540-60452-9", } @book{hawa96a, author = "E. Hairer and G. Wanner", title = "Analysis by Its History", publisher = pub-Springer, address = pub-Springer:adr-NY, pages = "x+374", year = 1996, isbn = "0-387-94551-2", } @book{hdgm15, editor = "Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner", title = "The Princeton Companion to Applied Mathematics", publisher = pub-PUP, address = pub-PUP:adr, pages = "xvii + 994 + 16 color plates", year = 2015, isbn = "978-0-691-15039-0", url = "http://press.princeton.edu/titles/10592.html", } @book{hein92, author = "Piet Hein", title = "Grooks", edition = "Second", series = "Borgens Pocketbooks", number = 85, publisher = "Borgens Forlag", address = "Copenhagen, Denmark", year = 1992, pages = 53, isbn = "87-418-1079-1", note = "First published in 1966", } @article{hens28, author = "Kurt Hensel", title = "{\"Uber den Zusammenhang zwischen den Systemen und ihren Determinanten}", journal = "J. Reine Angew. Math.", volume = 159, number = 4, pages = "246-254", year = 1928, } @article{hial10, author = "Nicholas J. Higham and Awad H. Al-Mohy", title = "Computing Matrix Functions", journal = "Acta Numerica", volume = 19, pages = "159-208", year = 2010, doi = "10.1017/S0962492910000036", } @techreport{hide16, author = "Nicholas J. Higham and Edvin Deadman", title = "A Catalogue of Software for Matrix Functions. {Version} 2.0", institution = inst-MIMS, address = inst-MIMS:adr, type = t-MIMS-EPrint, number = "2016.3", pages = "22", month = jan, year = "2016", note = "Updated March 2016", url = "http://eprints.ma.man.ac.uk/2431", } @article{high02, author = "Desmond J. Higham", title = "Nine Ways to Implement the Binomial Method for Option Valuation in {MATLAB}", journal = j-SIREV, volume = 44, number = 4, pages = "661-677", year = 2002, doi = "10.1137/S0036144501393266", } @book{high04:IF, author = "Desmond J. Higham", title = "An Introduction to Financial Option Valuation: {Mathematics}, Stochastics and Computation", publisher = pub-CUP, address = pub-CUP:adr, year = 2004, pages = "xxi+273", isbn = "0-521-83884-3", } @book{hihi:MG3, author = "Desmond J. Higham and Nicholas J. Higham", title = "{MATLAB} Guide", edition = "Third", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2017, pages = "xxvi+476", isbn = "978-1-61197-465-2" } @article{high14s, author = "Nicholas J. Higham", title = "Sylvester's Influence on Applied Mathematics", journal = j-MATH-TODAY, volume = 50, number = 4, month = aug, pages = "202-206", year = 2014, } @misc{high16i, author = "Nicholas J. Higham", title = "Iterating {MATLAB} Commands", year = 2016, month = may, howpublished = "\url{https://nickhigham.wordpress.com/2016/05/13/iterating-matlab-commands}", } @misc{high16t, author = "Nicholas J. Higham", title = "The Top 10 Algorithms in Applied Mathematics", year = 2016, month = mar, howpublished = "\url{https://nickhigham.wordpress.com/2016/03/29/the-top-10-algorithms-in-applied-mathematics}", } @misc{high16z, author = "Nicholas J. Higham", title = "The One-Line Maze Program in {MATLAB}", year = 2016, month = jun, howpublished = "\url{https://nickhigham.wordpress.com/2016/06/29/the-one-line-maze-program-in-matlab}", } @article{high91m, author = "Nicholas J. Higham", title = "Algorithm 694: {A} Collection of Test Matrices in {MATLAB}", journal = j-TOMS, volume = 17, number = 3, month = sep, pages = "289-305", year = 1991, doi = "10.1145/114697.116805", } @techreport{high95m, author = "Nicholas J. Higham", title = "The {Test Matrix Toolbox} for {MATLAB} (Version 3.0)", institution = inst-MCCM, address = inst-MCCM:adr, type = t-NAREP, number = "No. 276", month = sep, year = 1995, pages = 70, url = "http://www.maths.manchester.ac.uk/~higham/papers/high95m.pdf", } @book{high:ASNA2, author = "Nicholas J. Higham", title = "Accuracy and Stability of Numerical Algorithms", publisher = pub-SIAM, address = pub-SIAM:adr, edition = "Second", year = 2002, pages = "xxx+680", doi = "10.1137/1.9780898718027", isbn = "0-89871-521-0", } @book{high:FM, author = "Nicholas J. Higham", title = "Functions of Matrices: {Theory} and Computation", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2008, pages = "xx+425", doi = "10.1137/1.9780898717778", isbn = "978-0-898716-46-7", } @book{hild76, author = "Francis B. Hildebrand", title = "Advanced Calculus for Applications", edition = "Second", publisher = pub-PH, address = pub-PH:adr, year = 1976, pages = "xiii+733", isbn = "0-13-011189-9", } @article{hiti00n, author = "Nicholas J. Higham and Fran\c{c}oise Tisseur", title = "A Block Algorithm for Matrix $1$-Norm Estimation, with an Application to $1$-Norm Pseudospectra", journal = j-SIMAX, volume = 21, number = 4, pages = "1185-1201", year = 2000, doi ="10.1137/S0895479899356080", } @book{hov06, author = "Bernd Heidergott and Geert Jan Olsder and van der Woude, Jacob", title = "Max Plus at Work. {Modeling} and Analysis of Synchronized Systems: {A} Course on Max-Plus Algebra and Its Applications", publisher = pub-PUP, address = pub-PUP:adr, year = 2006, pages = "xi+213", isbn = "978-0-691-11763-8", } @book{hoyt08, author = "Doug Hoyte", title = "Let Over Lambda. {$50$} Years of {Lisp}", publisher = "\url{http://letoverlambda.com}", year = 2008, pages = "iv+376", isbn = "978-1-4357-1275-1", } @book{ieee08, key = "IEEE Computer Society", title = "{IEEE} Standard for Floating-Point Arithmetic, {IEEE} {Std} 754-2008 (revision of {IEEE} Std 754-1985)", publisher = "IEEE Computer Society", address = "New York", pages = 58, year = 2008, doi = "10.1109/IEEESTD.2008.4610935", isbn = "978-0-7381-5752-8" } @book{ieee85, key = "IEEE Computer Society", title = "{IEEE} Standard for Binary Floating-Point Arithmetic, {ANSI/IEEE} Standard 754-1985", publisher = "Institute of Electrical and Electronics Engineers", address = "New York", year = 1985, note = "Reprinted in SIGPLAN Notices, 22(2):9--25, 1987" } @book{josl03, author = "D. S. Jones and B. D. Sleeman", title = "Differential Equations and Mathematical Biology", publisher = pub-CRC, address = pub-CRC:adr, pages = "408", year = 2003, isbn = "1-58488-296-4", } @article{kaha80, author = "William M. Kahan", title = "Handheld Calculator Evaluates Integrals", journal = "Hewlett-Packard Journal", volume = 31, number = 8, month = aug, pages = "23-32", year = 1980, } @incollection{kapl91, author = "Irving Kaplansky", title = "Reminiscences", editor = "John H. Ewing and F. W. Gehring", booktitle = "{Paul Halmos}: {Celebrating} 50 Years of Mathematics", publisher = pub-Springer, address = pub-Springer:adr-B, pages = "87-89", year = 1991, } @book{kauf78, author = "Roger Emanuel Kaufman", title = "A {FORTRAN} Coloring Book", publisher = pub-MIT, address = pub-MIT:adr, year = 1978, pagers = 285, isbn = "0-262-61026-4", } @book{kell03, author = "C. T. Kelley", title = "Solving Nonlinear Equations with {Newton's} Method", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2003, pages = "xiii+104", isbn = "0-89871-546-6", } @book{kell95, author = "C. T. Kelley", title = "Iterative Methods for Linear and Nonlinear Equations", publisher = pub-SIAM, address = pub-SIAM:adr, year = 1995, pages = "xiii+165", isbn = "0-89871-352-8", url = "http://www.siam.org/books/textbooks/fr16_book.pdf", } @book{kell99, author = "C. T. Kelley", title = "Iterative Methods for Optimization", publisher = pub-SIAM, address = pub-SIAM:adr, year = 1999, pages = "xv+180", isbn = "0-89871-433-8", } @book{kepl78, author = "Brian W. Kernighan and P. J. Plauger", title = "The Elements of Programming Style", edition = "Second", publisher = pub-MH, address = pub-MH:adr, pages = "xii+168", year = 1978, isbn = "0-07-034207-5", } @misc{kier16b, author = "Jacek Kierzenka", title = "Tutorial on Solving {BVPs} with {BVP4C}", year = 2016, note = "\url{https://mathworks.com/matlabcentral/fileexchange/3819-tutorial-on-solving-bvps-with-bvp4c}", } @misc{kier16d, author = "Jacek Kierzenka", title = "Tutorial on Solving {DDEs} with {DDE23}", year = 2016, note = "\url{http://mathworks.com/matlabcentral/fileexchange/3899-tutorial-on-solving-ddes-with-dde23}", } @article{kish01, author = "Jacek A. Kierzenka and Lawrence F. Shampine", title = "A {BVP} Solver Based on Residual Control and the {MATLAB} {PSE}", journal = j-TOMS, volume = 27, number = 3, pages = "229-316", year = 2001, } @book{klpl92, author = "Peter E. Kloeden and Eckhard Platen", title = "Numerical Solution of Stochastic Differential Equations", publisher = pub-Springer, address = pub-Springer:adr-B, pages = "xxxv+632", isbn = "3-540-54062-8", year = 1992, } @book{kmn89, author = "David K. Kahaner and Cleve B. Moler and Stephen G. Nash", title = "Numerical Methods and Software", publisher = pub-PH, address = pub-PH:adr, year = 1989, isbn = "0-13-627258-4", pages = "xii+495", } @article{knig68, author = "G. Norman Knight", title = "Book Indexing in {Great Britain: A} Brief History", journal = "The Indexer", volume = 6, number = 1, pages = "14-18", year = 1968, note = "Reprinted in \cite[pp.~9--13]{harr78}", } @article{knut74, author = "Donald E. Knuth", title = "Structured Programming with \texttt{go to} Statements", journal = "Computing Surveys", volume = 6, number = 4, pages = "261-301", year = 1974, note = "Reprinted in \cite{knut92a}", doi = "10.1145/356635.356640", } @book{knut86, author = "Donald E. 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Neftci", title = "An Introduction to the Mathematics of Financial Derivatives", edition = "Second", publisher = pub-AP, address = pub-AP:adr-S, year = 2000, pages = " xxvii+527", isbn = "0-12-515392-9", } @article{neid10, author = "Richard D. Neidinger", title = "Introduction to Automatic Differentiation and {MATLAB} Object-Oriented Programming", journal = j-SIREV, volume = 52, number = 3, pages = "545-563", year = 2010, doi = "10.1137/080743627", } @article{nmw00, author = "M. E. J. Newman and C. Moore and D. J. Watts", title = "Mean-Field Solution of the Small-World Network Model", journal = "Physical Review Letters", volume = 84, pages = "3201-3204", year = 2000, doi = "10.1103/PhysRevLett.84.3201", } @book{norr97, author = "J. R. Norris", title = "Markov Chains", publisher = pub-CUP, address = pub-CUP:adr, year = "1997", isbn = "0-521-48181-3", } @article{nrt92, author = "No{\"e}l M. Nachtigal and Satish C. Reddy and Lloyd N. 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Flannery", title = "Numerical Recipes in {FORTRAN}: {The} Art of Scientific Computing", edition = "Second", publisher = pub-CUP, address = pub-CUP:adr, year = 1992, isbn = "0-521-43064-X", pages = "xxvi+963", } @book{rand01, key = "RAND", title = "A Million Random Digits with {$100,000$} Normal Deviates", publisher = "RAND", address = "Santa Monica, CA, USA", year = 2001, isbn = "978-0833030474", note = "Reprint of work originally published in 1955 by The Free Press, Glencoe, Illinois", url = "http://www.rand.org/pubs/monograph_reports/MR1418.html", } @book{saad03, author = "Yousef Saad", title = "Iterative Methods for Sparse Linear Systems", edition = "Second", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2003, pages = "xviii+528", doi = "10.1137/1.9780898718003", isbn = "0-89871-534-2", } @book{sap97, author = "Lawrence F. Shampine and Allen, Jr., Richard C. and Steven Pruess", title = "Fundamentals of Numerical Computing", publisher = pub-Wiley, address = pub-Wiley:adr, year = 1997, pages = "x+268", isbn = "0-471-16363-5", } @book{sedg88, author = "Robert Sedgewick", title = "Algorithms", Edition = "Second", publisher = pub-AW, address = pub-AW:adr, year = 1988, pages = "xii+657", isbn = "0-201-06673-4", } @book{seib09, author = "Peter Seibel", title = "Coders at Work: {Reflections} on the Craft of Programming", publisher = "Apress", address = "Oxford", year = 2009, pages = "xiii+617", isbn = "978-1-4302-1948-4", } @book{sgt03, author = "Lawrence F. Shampine and Ian Gladwell and S. Thompson", title = "Solving {ODE}s with {MATLAB}", publisher = pub-cup, address = pub-cup:adr, year = 2003, pages = "viii+263", isbn = "0-521-53094-6", } @article{sham02, author = "Lawrence F. 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Stewart", title = "Matrix Algorithms. {Volume II}: Eigensystems", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2001, pages = "xix+469", isbn = "0-89871-503-2", } @book{stra03, author = "Gilbert Strang", title = "Introduction to Linear Algebra", edition = "Third", publisher = pub-Wellesley, address = pub-Wellesley:adr, year = 2003, isbn = "0-9614088-9-8", pages = "viii+568", } @book{stro94, author="Steven H. Strogatz", title = "Nonlinear Dynamics and Chaos: {With} Applications to Physics, Biology, Chemistry, and Engineering", publisher = pub-AW, address = pub-AW:adr, year = "1994", pages = "xi+498", isbn = "0-201-54344-3", } @book{stwi70, author = "Josef Stoer and Christoph Witzgall", title = "Convexity and Optimization in Finite Dimensions {I}", publisher = "Springer-Verlag", address = pub-Springer:adr-B, year = 1970, pages = "ix+293", doi = "10.1007/978-3-642-46216-0", } @misc{suitesparse, author = "Timothy A. 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Trefethen", title = "Approximation Theory and Approximation Practice", publisher = pub-SIAM, address = pub-SIAM:adr, year = 2013, pages = "viii+305", isbn = "978-1-611972-39-9", } @article{trwe14, author = "Lloyd N. Trefethen and J. A. C. Weideman", title = "The Exponentially Convergent Trapezoidal Rule", journal = j-SIREV, volume = 56, number = 3, pages = "385-458", year = 2014, doi = "10.1137/130932132", } @book{tuft83, author = "Edward R. Tufte", title = "The Visual Display of Quantitative Information", publisher = "Graphics Press", address = "Cheshire, CT, USA", year = 1983, pages = 197, } @book{tuft90, author = "Edward R. Tufte", title = "Envisioning Information", publisher = "Graphics Press", address = "Cheshire, CT, USA", year = 1990, pages = 126, } @book{tuft97, author = "Edward R. Tufte", title = "Visual Explanations: {Images} and Quantities, Evidence and Narrative", publisher = "Graphics Press", address = "Cheshire, CT, USA", year = 1997, pages = 158, isbn = "0-9613921-2-6", } @book{vanl00, author = "Van Loan, Charles F.", title = "Introduction to Scientific Computing: {A} Matrix-Vector Approach Using {MATLAB}", publisher = pub-PH, address = pub-PH:adr, year = 2000, pages = "xi+367", isbn = "0-13-949157-0", } @book{vanl92a, author = "Van Loan, Charles F.", title = "Computational Frameworks for the Fast {Fourier} Transform", publisher = pub-SIAM, address = pub-SIAM:adr, year = 1992, pages = "xiii+273", isbn = "0-89871-285-8", } @article{vanl95, author = "Van Loan, Charles F.", title = "Using Examples to Build Computational Intuition", journal = j-SIAM-NEWS, volume = 28, pages = "1, 7", year = 1995, month = oct, } @article{visw00, author = "D. Viswanath", title = "Random {Fibonacci} Sequences and the Number {$1.3198824\dots$}", journal = j-MATH-COMP, volume = 69, number = 231, pages = "1131-1155", year = 2000, } @book{wago00, author = "Stan Wagon", title = "Mathematica in Action", edition = "Second", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "xvi+592", year = 2000, ISBN = "0-387-98684-7", } @article{wast98, author = "Duncan J. Watts and Steven H. Strogatz", title = "Collective Dynamics of `Small-World' Networks", journal = "Nature", volume = 393, pages = "440-442", year = 1998, month = "4 " # jun, } @article{wath15, author = "A. J. Wathen", title = "Preconditioning", journal = j-AN, volume = 24, pages = "329-376", month = 5, year = 2015, doi = "10.1017/S0962492915000021", } @book{watk10, author = "David S. Watkins", title = "Fundamentals of Matrix Computations", edition = "Third", publisher = pub-Wiley, address = pub-Wiley:adr, year = 2010, isbn = "978-0-470-52833-4", pages = "xvi+644", } @book{watt99, author = "Duncan J. Watts", title = "Small Worlds. {The} Dynamics of Networks between Order and Randomness", publisher = pub-PUP, address = pub-PUP:adr, year = 1999, pages = "xv+262", isbn = "978-0-691-11704-7", } @article{weru99, author = "Junjie Wei and Shigui Ruan", title = "Stability and Bifurcation in a Neural Network Model with Two Delays", journal = "Physica D", volume = 130, pages = "255-272", year = 1999, } @book{whd95, author = "Paul Wilmott and Sam Howison and Jeff Dewynne", title = "The Mathematics of Financial Derivatives: {A} Student Introduction", publisher = pub-CUP, address = pub-CUP:adr, pages = "xiii+317", year = 1995, isbn = "0-521-49699-3", } @book{wilk85m, author = "Maurice V. Wilkes", title = "Memoirs of a Computer Pioneer", publisher = pub-MIT, address = pub-MIT:adr, year = 1985, pages = "viii+240", isbn = "0-262-23122-0", } @incollection{broo15-crossref, author = "David S. Broomhead", title = "Applications of Max-Plus Algebra", editor = "Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner", booktitle = "The Princeton Companion to Applied Mathematics", publisher = "Princeton University Press", address = "Princeton, NJ, USA", pages = "795-800", year = 2015, crossref = "hdgm15", } @incollection{dost15-crossref, author = "David L. Donoho and Victoria Stodden", title = "Reproducible Research in the Mathematical Sciences", editor = "Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner", booktitle = "The Princeton Companion to Applied Mathematics", publisher = "Princeton University Press", address = "Princeton, NJ, USA", pages = "916-925", year = 2015, crossref = "hdgm15", } @incollection{high15c-crossref, author = "Nicholas J. Higham", title = "Color Spaces and Digital Imaging", editor = "Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner", booktitle = "The Princeton Companion to Applied Mathematics", publisher = pub-PUP, address = pub-PUP:adr, pages = "808-813", year = 2015, crossref = "hdgm15", } @incollection{high15fu-crossref, author = "Nicholas J. Higham", title = "Functions of Matrices", editor = "Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner", booktitle = "The Princeton Companion to Applied Mathematics", publisher = pub-PUP, address = pub-PUP:adr, pages = "97-99", year = 2015, crossref = "hdgm15", } @incollection{high15n-crossref, author = "Nicholas J. Higham", title = "Numerical Linear Algebra and Matrix Analysis", editor = "Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner", booktitle = "The Princeton Companion to Applied Mathematics", publisher = pub-PUP, address = pub-PUP:adr, pages = "263-281", year = 2015, crossref = "hdgm15", } @incollection{high15p-crossref, author = "Nicholas J. Higham", title = "Programming Languages: {An} Applied Mathematics View", editor = "Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner", booktitle = "The Princeton Companion to Applied Mathematics", publisher = pub-PUP, address = pub-PUP:adr, pages = "828-839", year = 2015, crossref = "hdgm15", } @incollection{high15sv-crossref, author = "Nicholas J. Higham", title = "The Singular Value Decomposition", editor = "Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner", booktitle = "The Princeton Companion to Applied Mathematics", publisher = pub-PUP, address = pub-PUP:adr, pages = "126-127", year = 2015, crossref = "hdgm15", }