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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
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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
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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. Electronic Transactions on Numerical Analysis
14 Linear and Multilinear Algebra
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12 Journal of Complexity
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11 Applied Mathematics Letters
11 Mathematical Programming. Series A. Series B
11 ELA. The Electronic Journal of Linear Algebra
10 IMA Journal of Numerical Analysis
10 Calcolo
10 Mathematics and Computers in Simulation
10 Journal of Scientific Computing
9 Computer Methods in Applied Mechanics and Engineering
9 Foundations of Computational Mathematics
8 International Journal of Computer Mathematics
8 Advances in Computational Mathematics
8 Acta Numerica
7 Journal of Symbolic Computation
7 Optimization Methods & Software
6 Journal of Optimization Theory and Applications
6 Computer Aided Geometric Design
6 JSIAM Letters
5 Automatica
5 Journal of Approximation Theory
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5 Computational Optimization and Applications
5 Computational and Applied Mathematics
4 Systems & Control Letters
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4 Mathematics in Computer Science
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Inverse Problems
3 IEEE Transactions on Automatic Control
3 International Journal for Numerical Methods in Engineering
3 Parallel Computing
3 Information and Computation
3 Computational Statistics
3 Applied Mathematical Modelling
3 Journal of Mathematical Imaging and Vision
3 Applied and Computational Harmonic Analysis
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3 Journal of Mathematical Chemistry
3 Journal of Applied Mathematics
3 Mediterranean Journal of Mathematics
2 American Mathematical Monthly
2 International Journal of Control
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2 Chaos, Solitons and Fractals
2 Demonstratio Mathematica
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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 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
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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)
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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)
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5 Statistical mechanics, structure of matter (82-XX)
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