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; testmatrix; MATLAB expm; XBLAS; JDQZ; JDQR; Algorithm 432; Mathematica; Eigtool; MPFR; ScaLAPACK; Chebfun; ARPACK; LSQR; CRAIG Cited in: 1,539 Documents all top 5 Cited by 1,815 Authors 81 Higham, Nicholas J. 39 Peña, Juan Manuel 35 Rump, Siegfried Michael 31 Wei, Yimin 22 Dopico, Froilán M. 20 Diao, Huaian 20 Kressner, Daniel 20 Ogita, Takeshi 19 Tisseur, Françoise 18 Rozložník, Miroslav 17 Demmel, James Weldon 15 Cucker, Felipe 15 Gratton, Serge 15 Li, Hanyu 14 Nakatsukasa, Yuji 13 Delgado, Jorge F. M. 13 Graillat, Stef 13 Oishi, Shin’ichi 13 Simoncini, Valeria 12 Barrio, Roberto 11 Alonso, Pedro 11 Huang, Rong 11 Miyajima, Shinya 11 Paige, Christopher C. 11 Pan, Victor Yakovlevich 11 Smoktunowicz, Alicja 11 Tasche, Manfred 10 Al-Mohy, Awad H. 10 Chang, Xiaowen 10 Marco García, Ana 10 Ozaki, Katsuhisa 10 Qiao, Sanzheng 10 Strakoš, Zdeněk 10 Wang, Shaoxin 9 Benner, Peter 9 Dongarra, Jack J. 9 Drmač, Zlatko 9 Fasi, Massimiliano 9 Giraud, Luc 9 Jeannerod, Claude-Pierre 9 Jiang, Hao 9 Langou, Julien 9 Martínez, José-Javier 9 Mehrmann, Volker 9 Van Dooren, Paul M. 8 Barlow, Jesse L. 8 Bini, Dario Andrea 8 Corless, Robert Malcolm 8 Costabile, Francesco Aldo 8 Helsing, Johan 8 Huang, Hung-Tsai 8 Huang, Ting-Zhu 8 Ibáñez González, Jacinto Javier 8 Ipsen, Ilse C. F. 8 Li, Rencang 8 Li, Zi-Cai 8 Stanimirović, Predrag S. 8 Sun, Jiguang 7 Arioli, Mario 7 Baboulin, Marc 7 de Camargo, André Pierro 7 Defez, Emilio 7 Gu, Ming 7 Iannazzo, Bruno 7 Mastronardi, Nicola 7 Mitrouli, Marilena 7 Poloni, Federico Giovanni 7 Pranesh, Srikara 7 Relton, Samuel D. 7 Robol, Leonardo 7 Sastre, Jorge 7 Sauer, Tomas 7 Singer, Sanja 7 Titley-Péloquin, David 7 Trefethen, Lloyd Nicholas 7 Xiang, Hua 7 Yamamoto, Yusaku 7 Yang, Hu 6 Beltrán, Carlos E. 6 Carson, Erin Claire 6 Cheng, Lizhi 6 D’Amore, Luisa 6 Gallego, Rafael 6 Katsikis, Vasilios N. 6 Koev, Plamen 6 Lin, Lijing 6 Mary, Theo A. 6 Molera, Juan M. 6 Muller, Jean-Michel 6 Noferini, Vanni 6 Olshevsky, Vadim 6 Potts, Daniel 6 Quintana-Ortí, Enrique S. 6 Samar, Mahvish 6 Singer, Saša 6 Soleymani, Fazlollah 6 Stewart, Gilbert Wright 6 Stewart, Michael I. 6 Szyld, Daniel B. 6 Toledo, Sivan ...and 1,715 more Authors all top 5 Cited in 241 Serials 164 SIAM Journal on Matrix Analysis and Applications 132 Linear Algebra and its Applications 117 Journal of Computational and Applied Mathematics 83 SIAM Journal on Scientific Computing 77 Numerical Algorithms 59 BIT 51 Applied Mathematics and Computation 37 Numerische Mathematik 36 Mathematics of Computation 36 Numerical Linear Algebra with Applications 30 Computers & Mathematics with Applications 29 Applied Numerical Mathematics 24 ACM Transactions on Mathematical Software 20 Journal of Computational Physics 19 SIAM Journal on Optimization 17 SIAM Review 17 ETNA. 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Serie A: Matemáticas. RACSAM 2 American Mathematical Monthly 2 International Journal of Control 2 Chaos, Solitons and Fractals 2 Demonstratio Mathematica 2 Journal of Multivariate Analysis 2 Numerical Functional Analysis and Optimization 2 Physica D 2 Constructive Approximation 2 Algorithmica 2 Discrete & Computational Geometry 2 Computers & Operations Research 2 Journal of Economic Dynamics & Control 2 Signal Processing 2 Neural Computation 2 IEEE Transactions on Signal Processing 2 Automation and Remote Control 2 SIAM Journal on Applied Mathematics 2 Computational Statistics and Data Analysis 2 Journal of Mathematical Sciences (New York) 2 Journal of Mathematical Chemistry 2 Mathematical Problems in Engineering 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 ZAMM. 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 Science China. Mathematics 2 Fundamentals of Algorithms 1 International Journal of Modern Physics B 1 Advances in Applied Probability 1 Applicable Analysis 1 The Canadian Journal of Statistics 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Applied Mechanics ...and 141 more Serials all top 5 Cited in 54 Fields 1,299 Numerical analysis (65-XX) 477 Linear and multilinear algebra; matrix theory (15-XX) 97 Computer science (68-XX) 94 Operations research, mathematical programming (90-XX) 69 Approximations and expansions (41-XX) 60 Systems theory; control (93-XX) 48 Statistics (62-XX) 38 Ordinary differential equations (34-XX) 36 Partial differential equations (35-XX) 31 Probability theory and stochastic processes (60-XX) 28 Special functions (33-XX) 27 Mechanics of deformable solids (74-XX) 26 Real functions (26-XX) 24 Field theory and polynomials (12-XX) 23 Functions of a complex variable (30-XX) 23 Operator theory (47-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Fluid mechanics (76-XX) 22 Information and communication theory, circuits (94-XX) 21 Number theory (11-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 14 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) 11 Mechanics of particles and systems (70-XX) 11 Biology and other natural sciences (92-XX) 10 Geophysics (86-XX) 9 Integral equations (45-XX) 9 Quantum theory (81-XX) 8 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) 4 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 3 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-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