mctoolbox swMATH ID: 4827 Software Authors: Higham, Nick Description: The Matrix Computation Toolbox is a collection of MATLAB M-files containing functions for constructing test matrices, computing matrix factorizations, visualizing matrices, and carrying out direct search optimization. Various other miscellaneous functions are also included. This toolbox supersedes the author’s earlier Test Matrix Toolbox (final release 1995). The toolbox was developed in conjunction with the book Accuracy and Stability of Numerical Algorithms (SIAM, Second edition, August 2002, xxx+680 pp.). That book is the primary documentation for the toolbox: it describes much of the underlying mathematics and many of the algorithms and matrices (it also describes many of the matrices provided by MATLAB’s gallery function). Homepage: http://www.maths.manchester.ac.uk/~higham/mctoolbox/ Operating Systems: MATLAB Dependencies: MATLAB Related Software: LAPACK; Matlab; mftoolbox; SparseMatrix; BLAS; INTLAB; MATLAB expm; testmatrix; JDQZ; JDQR; XBLAS; MPFR; Chebfun; Algorithm 432; Eigtool; Mathematica; ScaLAPACK; LSQR; ARPACK; DLMF Cited in: 1,630 Documents all top 5 Cited by 1,936 Authors 84 Higham, Nicholas J. 41 Peña, Juan Manuel 36 Rump, Siegfried Michael 31 Wei, Yimin 24 Dopico, Froilán M. 23 Kressner, Daniel 20 Diao, Huaian 20 Ogita, Takeshi 19 Tisseur, Françoise 17 Demmel, James Weldon 17 Rozložník, Miroslav 15 Cucker, Felipe 15 Delgado, Jorge F. M. 15 Gratton, Serge 15 Li, Hanyu 14 Barrio, Roberto 14 Nakatsukasa, Yuji 13 Graillat, Stef 13 Oishi, Shin’ichi 13 Simoncini, Valeria 12 Van Dooren, Paul M. 11 Alonso, Pedro 11 Jiang, Hao 11 Marco García, Ana 11 Miyajima, Shinya 11 Ozaki, Katsuhisa 11 Paige, Christopher C. 11 Pan, Victor Yakovlevich 11 Smoktunowicz, Alicja 11 Tasche, Manfred 10 Al-Mohy, Awad H. 10 Chang, Xiaowen 10 Fasi, Massimiliano 10 Jeannerod, Claude-Pierre 10 Martínez, José-Javier 10 Qiao, Sanzheng 10 Strakoš, Zdeněk 10 Wang, Shaoxin 9 Benner, Peter 9 Corless, Robert Malcolm 9 Dongarra, Jack J. 9 Drmač, Zlatko 9 Giraud, Luc 9 Ibáñez González, Jacinto Javier 9 Ipsen, Ilse C. F. 9 Langou, Julien 9 Mehrmann, Volker 9 Noferini, Vanni 8 Baboulin, Marc 8 Barlow, Jesse L. 8 Bini, Dario Andrea 8 Costabile, Francesco Aldo 8 Defez, Emilio 8 Helsing, Johan 8 Huang, Hung-Tsai 8 Huang, Ting-Zhu 8 Li, Rencang 8 Li, Zi-Cai 8 Mary, Theo A. 8 Mastronardi, Nicola 8 Stanimirović, Predrag S. 8 Sun, Jiguang 8 Yamamoto, Yusaku 7 Arioli, Mario 7 Carson, Erin Claire 7 de Camargo, André Pierro 7 Gu, Ming 7 Iannazzo, Bruno 7 Koev, Plamen 7 Mitrouli, Marilena 7 Muller, Jean-Michel 7 Poloni, Federico Giovanni 7 Pranesh, Srikara 7 Relton, Samuel D. 7 Robol, Leonardo 7 Sastre, Jorge 7 Sauer, Tomas 7 Singer, Sanja 7 Szyld, Daniel B. 7 Titley-Péloquin, David 7 Trefethen, Lloyd Nicholas 7 Xiang, Hua 7 Yang, Hu 6 Beltrán, Carlos E. 6 Breiding, Paul 6 Cheng, Lizhi 6 D’Amore, Luisa 6 Gallego, Rafael 6 Hasegawa, Takemitsu 6 Iwasaki, Masashi 6 Katsikis, Vasilios N. 6 Lin, Lijing 6 Liu, Qiaohua 6 Molera, Juan M. 6 Nakamura, Yoshimasa 6 Olshevsky, Vadim 6 Potts, Daniel 6 Quintana-Ortí, Enrique S. 6 Samar, Mahvish 6 Singer, Saša ...and 1,836 more Authors all top 5 Cited in 250 Serials 172 SIAM Journal on Matrix Analysis and Applications 134 Linear Algebra and its Applications 124 Journal of Computational and Applied Mathematics 89 SIAM Journal on Scientific Computing 85 Numerical Algorithms 61 BIT 52 Applied Mathematics and Computation 39 Numerische Mathematik 36 Mathematics of Computation 36 Numerical Linear Algebra with Applications 30 Computers & Mathematics with Applications 29 Applied Numerical Mathematics 25 ACM Transactions on Mathematical Software 21 Journal of Computational Physics 19 SIAM Journal on Optimization 18 Japan Journal of Industrial and Applied Mathematics 18 SIAM Review 18 ETNA. 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Zeitschrift für Angewandte Mathematik und Mechanik 2 The ANZIAM Journal 2 The Journal of Logic and Algebraic Programming 2 Journal of Machine Learning Research (JMLR) 2 Journal of Applied Mathematics and Computing 2 Cambridge Monographs on Applied and Computational Mathematics 2 Electronic Journal of Statistics 2 Science China. Mathematics 2 Fundamentals of Algorithms 1 International Journal of Modern Physics B 1 Advances in Applied Probability ...and 150 more Serials all top 5 Cited in 54 Fields 1,364 Numerical analysis (65-XX) 504 Linear and multilinear algebra; matrix theory (15-XX) 112 Computer science (68-XX) 101 Operations research, mathematical programming (90-XX) 72 Approximations and expansions (41-XX) 62 Systems theory; control (93-XX) 52 Statistics (62-XX) 40 Partial differential equations (35-XX) 39 Ordinary differential equations (34-XX) 33 Probability theory and stochastic processes (60-XX) 32 Special functions (33-XX) 27 Mechanics of deformable solids (74-XX) 26 Real functions (26-XX) 25 Information and communication theory, circuits (94-XX) 24 Field theory and polynomials (12-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Functions of a complex variable (30-XX) 23 Operator theory (47-XX) 23 Fluid mechanics (76-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Number theory (11-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 15 Combinatorics (05-XX) 14 Algebraic geometry (14-XX) 13 Commutative algebra (13-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Biology and other natural sciences (92-XX) 11 Mechanics of particles and systems (70-XX) 11 Quantum theory (81-XX) 10 Geophysics (86-XX) 9 Integral equations (45-XX) 9 Optics, electromagnetic theory (78-XX) 5 General and overarching topics; collections (00-XX) 5 Mathematical logic and foundations (03-XX) 5 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 5 Differential geometry (53-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Measure and integration (28-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year