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mctoolbox

swMATH ID: 4827
Software Authors: Nick Higham
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; JDQZ; JDQR; XBLAS; Algorithm 432; Mathematica; Eigtool; MPFR; ARPACK; LSQR; ScaLAPACK; Chebfun; DLMF
Referenced in: 1,516 Publications
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Referenced by 1,776 Authors

81 Higham, Nicholas J.
38 Peña, Juan Manuel
35 Rump, Siegfried Michael
30 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 Li, Hanyu
14 Cucker, Felipe
14 Gratton, Serge
14 Nakatsukasa, Yuji
13 Delgado, Jorge F. M.
13 Graillat, Stef
13 Oishi, Shin’ichi
12 Barrio, Roberto
12 Simoncini, Valeria
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 Marco García, Ana
10 Ozaki, Katsuhisa
10 Qiao, Sanzheng
10 Strakoš, Zdeněk
10 Wang, Shaoxin
9 Benner, Peter
9 Chang, Xiaowen
9 Dongarra, Jack J.
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 Costabile, Francesco Aldo
8 Drmač, Zlatko
8 Fasi, Massimiliano
8 Helsing, Johan
8 Huang, Hung-Tsai
8 Huang, Ting-Zhu
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 Corless, Robert Malcolm
7 de Camargo, André Pierro
7 Defez, Emilio
7 Gu, Ming
7 Iannazzo, Bruno
7 Ibáñez González, Jacinto Javier
7 Mastronardi, Nicola
7 Mitrouli, Marilena
7 Poloni, Federico G.
7 Pranesh, Srikara
7 Relton, Samuel D.
7 Robol, Leonardo
7 Sauer, Tomas
7 Singer, Sanja
7 Trefethen, Lloyd Nicholas
7 Xiang, Hua
7 Yamamoto, Yusaku
7 Yang, Hu
6 Beltrán, Carlos
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 Sastre, Jorge
6 Singer, Saša
6 Stewart, Gilbert Wright
6 Stewart, Michael
6 Szyld, Daniel B.
6 Titley-Péloquin, David
6 Toledo, Sivan
6 Wu, Chiye
...and 1,676 more Authors
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Referenced in 236 Serials

162 SIAM Journal on Matrix Analysis and Applications
131 Linear Algebra and its Applications
115 Journal of Computational and Applied Mathematics
82 SIAM Journal on Scientific Computing
75 Numerical Algorithms
59 BIT
49 Applied Mathematics and Computation
36 Mathematics of Computation
36 Numerische Mathematik
36 Numerical Linear Algebra with Applications
30 Computers & Mathematics with Applications
28 Applied Numerical Mathematics
24 ACM Transactions on Mathematical Software
20 Journal of Computational Physics
19 SIAM Journal on Optimization
17 SIAM Review
17 ETNA. Electronic Transactions on Numerical Analysis
16 Japan Journal of Industrial and Applied Mathematics
13 SIAM Journal on Numerical Analysis
12 Computing
12 Theoretical Computer Science
12 Journal of Complexity
11 Linear and Multilinear Algebra
11 Applied Mathematics Letters
11 Engineering Analysis with Boundary Elements
11 ELA. The Electronic Journal of Linear Algebra
10 IMA Journal of Numerical Analysis
10 Mathematics and Computers in Simulation
10 Journal of Scientific Computing
9 Computer Methods in Applied Mechanics and Engineering
9 Mathematical Programming. Series A. Series B
8 Calcolo
8 International Journal of Computer Mathematics
8 Advances in Computational Mathematics
8 Foundations of Computational Mathematics
7 Journal of Symbolic Computation
6 Optimization Methods & Software
5 Computer Physics Communications
5 Automatica
5 Journal of Optimization Theory and Applications
5 Computer Aided Geometric Design
5 Mathematical and Computer Modelling
5 Acta Numerica
5 JSIAM Letters
4 Journal of Approximation Theory
4 Systems & Control Letters
4 Computational Optimization and Applications
4 Computational and Applied Mathematics
4 Mathematics in Computer Science
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 Applications of Mathematics
3 Computational Statistics
3 Applied Mathematical Modelling
3 Journal of Mathematical Imaging and Vision
3 Reliable Computing
3 Journal of Applied Mathematics
3 Mediterranean Journal of Mathematics
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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 Computers & Operations Research
2 Journal of Economic Dynamics & Control
2 Signal Processing
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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 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 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
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Physica A
...and 136 more Serials
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Referenced in 55 Fields

1,281 Numerical analysis (65-XX)
467 Linear and multilinear algebra; matrix theory (15-XX)
96 Computer science (68-XX)
94 Operations research, mathematical programming (90-XX)
66 Approximations and expansions (41-XX)
59 Systems theory; control (93-XX)
47 Statistics (62-XX)
38 Ordinary differential equations (34-XX)
33 Partial differential equations (35-XX)
28 Special functions (33-XX)
28 Probability theory and stochastic processes (60-XX)
27 Mechanics of deformable solids (74-XX)
25 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)
16 Harmonic analysis on Euclidean spaces (42-XX)
14 Combinatorics (05-XX)
14 Algebraic geometry (14-XX)
13 Commutative algebra (13-XX)
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8 Quantum theory (81-XX)
5 General and overarching topics; collections (00-XX)
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5 Integral transforms, operational calculus (44-XX)
5 Differential geometry (53-XX)
4 Global analysis, analysis on manifolds (58-XX)
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