swMATH ID: 23743
Software Authors: N. J. Higham
Description: The Matrix Function Toolbox is a MATLAB toolbox connected with functions of matrices. It is associated with the book Functions of Matrices: Theory and Computation and contains implementations of many of the algorithms described in the book. The book is the main documentation for the toolbox. The toolbox is intended to facilitate understanding of the algorithms through MATLAB experiments, to be useful for research in the subject, and to provide a basis for the development of more sophisticated implementations. The codes are ”plain vanilla” versions; they contain the core algorithmic aspects with a minimum of inessential code. In particular, the following features should be noted. The codes have little error checking of input arguments. The codes do not print intermediate results or the progress of an iteration. For the iterative algorithms a convergence tolerance is hard-coded (in function mft_tolerance). For greater flexibility this tolerance could be made an input argument. The codes are designed for simplicity and readability rather than maximum efficiency. Algorithmic options such as preprocessing are omitted. The codes are intended for double precision matrices. Those algorithms in which the parameters can be adapted to the precision have not been written to take advantage of single precision inputs.
Homepage: http://www.maths.manchester.ac.uk/~higham/mftoolbox/
Related Software: mctoolbox; Matlab; MATLAB expm; SparseMatrix; Expokit; Eigtool; phipm; INTLAB; Algorithm 919; testmatrix; OPQ; blgaussexp; LAPACK; Chebfun; Mathematica; RODAS; Algorithm 432; JDQZ; Matrix Means Toolbox; JDQR
Cited in: 751 Documents

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Functions of matrices. Theory and computation. Zbl 1167.15001
Higham, Nicholas J.
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Cited by 1,053 Authors

19 Higham, Nicholas J.
17 Ibáñez González, Jacinto Javier
17 Miyajima, Shinya
17 Reichel, Lothar
17 Sastre, Jorge
16 Soleymani, Fazlollah
15 Defez, Emilio
15 Vabishchevich, Pëtr Nikolaevich
13 Benzi, Michele
13 Nakatsukasa, Yuji
11 Iannazzo, Bruno
10 Noferini, Vanni
10 Schweitzer, Marcel
9 Bini, Dario Andrea
9 Cardoso, João R.
8 Abdalla, Mohamed
8 Benner, Peter
8 Estrada, Ernesto
8 Frommer, Andreas
8 Gawlik, Evan S.
8 Simoncini, Valeria
7 Arrigo, Francesca
7 Güttel, Stefan
7 Kressner, Daniel
7 Meini, Beatrice
7 Peinado, Jesús
7 Ruiz, Pedro A.
6 Al-Mohy, Awad H.
6 Bochev, M. A.
6 Del Moral, Pierre
6 Fasi, Massimiliano
6 Guo, Chun-Hua
6 Massei, Stefano
6 Novati, Paolo
6 Pozza, Stefano
6 Robol, Leonardo
6 Wu, Gang
6 Ziętak, Krystyna
5 Beckermann, Bernhard
5 Jagels, Carl F.
5 Jbilou, Khalide
5 Kürschner, Patrick
5 Leok, Melvin
5 Li, Dongping
5 Li, Xiao
5 Mitrouli, Marilena
5 Neff, Patrizio
5 Qiao, Zhonghua
5 Relton, Samuel D.
5 Roca-Lacostena, Jordi
5 Shateyi, Stanford
5 Sun, Haiwei
4 Arslan, Bahar
4 Boito, Paola
4 Brezinski, Claude
4 De la Cruz Cabrera, Omar
4 Dehghan Takht Fooladi, Mehdi
4 Durastante, Fabio
4 Fernández-Sánchez, Jesús
4 Fika, Paraskevi
4 Kurbatov, Vitaliĭ Gennad’evich
4 Kurbatova, Irina Vital’evna
4 Latouche, Guy
4 Lyu, Shulin
4 Maset, Stefano
4 Poloni, Federico Giovanni
4 Redivo-Zaglia, Michela
4 Sadeghi, Amir
4 Schnörr, Christoph
4 Tisseur, Françoise
4 Zhu, Xiaojing
3 Abd-Elmageed, Hala
3 Acebrón, Juan A.
3 Aceto, Lidia
3 Alonso-Jordá, Pedro
3 Alonso, Pedro
3 Alqahtani, Hessah
3 Auzinger, Winfried
3 Baake, Michael
3 Bentbib, Abdeslem Hafid
3 Bishop, Adrian N.
3 Bolsinov, Alexey V.
3 Boulaaras, Salah Mahmoud
3 Casanellas Rius, Marta
3 Chen, Yang
3 Deadman, Edvin
3 El Ghomari, M.
3 Feng, Hongyinping
3 Fu, Yayun
3 Greco, Federico
3 Hackbusch, Wolfgang
3 Hidan, Muajebah
3 Ju, Lili
3 Khaksar Haghani, F.
3 Lotfi, Taher
3 Lu, Di
3 Lund, Kathryn
3 Martin, Robert J.
3 Martínez, Héctor Jairo
3 Matveev, Vladimir S.
...and 953 more Authors
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Cited in 211 Serials

79 Linear Algebra and its Applications
50 SIAM Journal on Matrix Analysis and Applications
45 Journal of Computational and Applied Mathematics
32 Numerical Algorithms
24 Applied Mathematics and Computation
23 SIAM Journal on Scientific Computing
21 BIT
16 Applied Numerical Mathematics
15 Numerische Mathematik
15 Journal of Scientific Computing
12 Journal of Computational Physics
12 Journal of Mathematical Analysis and Applications
11 Calcolo
10 Numerical Linear Algebra with Applications
9 Computer Physics Communications
9 Linear and Multilinear Algebra
8 Computational and Applied Mathematics
8 ELA. The Electronic Journal of Linear Algebra
7 Computers & Mathematics with Applications
7 Journal of the Franklin Institute
7 Foundations of Computational Mathematics
6 Mathematics and Computers in Simulation
6 SIAM Review
6 Advances in Computational Mathematics
5 Systems & Control Letters
5 Applied Mathematics Letters
5 ETNA. Electronic Transactions on Numerical Analysis
5 Fractional Calculus & Applied Analysis
4 Journal of Mathematical Physics
4 Automatica
4 SIAM Journal on Numerical Analysis
4 Mathematical and Computer Modelling
4 Applied Mathematical Modelling
4 Computational Methods in Applied Mathematics
4 Acta Numerica
4 JSIAM Letters
3 Inverse Problems
3 Japan Journal of Industrial and Applied Mathematics
3 Journal of Mathematical Imaging and Vision
3 Journal of the Egyptian Mathematical Society
3 Abstract and Applied Analysis
3 Mathematical Inequalities & Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Communications in Computational Physics
3 Statistics and Computing
3 Journal of Theoretical Biology
3 Special Matrices
3 Journal of Linear and Topological Algebra
3 Journal of Function Spaces
3 Bollettino dell’Unione Matematica Italiana
2 Advances in Applied Probability
2 Communications in Mathematical Physics
2 Computer Methods in Applied Mechanics and Engineering
2 Discrete Applied Mathematics
2 Journal of Mathematical Biology
2 Wave Motion
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Mathematics of Computation
2 Advances in Mathematics
2 Journal of Econometrics
2 Quaestiones Mathematicae
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 Circuits, Systems, and Signal Processing
2 Constructive Approximation
2 Computational Mechanics
2 Neural Computation
2 Computational Mathematics and Mathematical Physics
2 International Journal of Computer Mathematics
2 Journal of Elasticity
2 SIAM Journal on Applied Mathematics
2 Stochastic Processes and their Applications
2 SIAM Journal on Optimization
2 Vestnik St. Petersburg University. Mathematics
2 Computational Optimization and Applications
2 Electronic Journal of Differential Equations (EJDE)
2 Advances in Applied Clifford Algebras
2 Vietnam Journal of Mathematics
2 Journal of Applied Mathematics
2 Stochastic Models
2 Multiscale Modeling & Simulation
2 Quantum Information Processing
2 Hacettepe Journal of Mathematics and Statistics
2 Operators and Matrices
2 SIAM Journal on Imaging Sciences
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Computational and Graphical Statistics
2 S\(\vec{\text{e}}\)MA Journal
2 SIAM/ASA Journal on Uncertainty Quantification
2 Journal of Mathematical Modeling
2 Computational Methods for Differential Equations
2 Advances in Operator Theory
2 Communications on Applied Mathematics and Computation
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Classical and Quantum Gravity
1 Computers and Fluids
1 Discrete Mathematics
1 European Journal of Physics
1 International Journal of Control
...and 111 more Serials
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Cited in 55 Fields

493 Numerical analysis (65-XX)
337 Linear and multilinear algebra; matrix theory (15-XX)
73 Partial differential equations (35-XX)
47 Operator theory (47-XX)
45 Ordinary differential equations (34-XX)
43 Probability theory and stochastic processes (60-XX)
39 Combinatorics (05-XX)
39 Systems theory; control (93-XX)
36 Statistics (62-XX)
26 Real functions (26-XX)
26 Approximations and expansions (41-XX)
26 Quantum theory (81-XX)
24 Operations research, mathematical programming (90-XX)
23 Computer science (68-XX)
21 Differential geometry (53-XX)
20 Special functions (33-XX)
16 Mechanics of deformable solids (74-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Biology and other natural sciences (92-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Fluid mechanics (76-XX)
12 Information and communication theory, circuits (94-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
9 Mechanics of particles and systems (70-XX)
8 Associative rings and algebras (16-XX)
8 Difference and functional equations (39-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Functions of a complex variable (30-XX)
7 Functional analysis (46-XX)
6 Integral transforms, operational calculus (44-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Number theory (11-XX)
4 Algebraic geometry (14-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Optics, electromagnetic theory (78-XX)
3 Topological groups, Lie groups (22-XX)
3 Integral equations (45-XX)
3 Geometry (51-XX)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-XX)
2 Nonassociative rings and algebras (17-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)

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