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Expokit

swMATH ID: 258
Software Authors: Sidje, Roger B.
Description: Expokit provides a set of routines aimed at computing matrix exponentials. More precisely, it computes either a small matrix exponential in full, the action of a large sparse matrix exponential on an operand vector, or the solution of a system of linear ordinary differential equations with constant inhomogeneity. The backbone of the sparse routines consists of matrix-free Krylov subspace projection methods (Arnoldi and Lanczos processes), and that is why the toolkit is capable of coping with sparse matrices of large dimension. The software handles real and complex matrices and provides specific routines for symmetric and Hermitian matrices. The computation of matrix exponentials is a numerical issue of critical importance in the area of Markov chains and furthermore, the computed solution is subject to probabilistic constraints. In addition to addressing general matrix exponentials, a distinct attention is assigned to the computation of transient states of Markov chains.
Homepage: http://www.maths.uq.edu.au/expokit/
Keywords: algorithms; Krylov methods; Markov chains; matrix exponential; expokit; software package; large sparse matrix
Related Software: Algorithm 919; phipm; MATLAB expm; mftoolbox; Matlab; Expint; RODAS; mctoolbox; KIOPS; Eigtool; expmARPACK; ARPACK; SparseMatrix; UMFPACK; MPAS-Ocean; SUNDIALS; SPARSKIT; ITSOL; VODE; MEBDF
Cited in: 202 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Expokit: A software package for computing matrix exponentials. Zbl 0917.65063
Sidje, Roger B.
1998
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Cited by 310 Authors

16 Jimenez, Juan Carlos
11 Carbonell, Felix
11 Sidje, Roger B.
9 Blanes, Sergio
8 Biscay, Rolando J.
7 Bochev, M. A.
7 Ross, Joshua V.
6 Ju, Lili
5 de la Cruz, H.
5 Li, Dongping
5 Ponsoda, Enrique
5 Sandu, Adrian
5 Tambue, Antoine
5 Tokman, Mayya
4 Bader, Philipp
4 Burrage, Kevin
4 Caliari, Marco
4 Jódar Sanchez, Lucas Antonio
4 Lord, Gabriel James
4 Martín-Vaquero, Jesús
4 Narayanamurthi, Mahesh
4 Turner, Ian William
4 Vigo-Aguiar, Jesus
3 Casas, Fernando
3 Gunzburger, Max D.
3 Kandolf, Peter
3 MacNamara, Shev F.
3 Ostermann, Alexander
3 Ozaki, Tohru
3 Rainer, Stefan
3 Seydaoğlu, Muaz
3 Tranquilli, Paul
3 Vo, Huy D.
3 Wang, Zhu
3 Zhang, Rongpei
2 Bergamaschi, Luca
2 Bertaccini, Daniele
2 Burrage, Pamela M.
2 Cao, Youfang
2 Carr, Elliot Joseph
2 Cong, Yuhao
2 Cortés López, Juan Carlos
2 Crawford, Forrest W.
2 de la Cruz Cancino, H.
2 Drovandi, Christopher C.
2 Duddu, Ravindra
2 Durastante, Fabio
2 Einkemmer, Lukas
2 Faddy, Malcolm J.
2 Gao, Huadong
2 Gaudreault, Stéphane
2 Geiger, Sebastian
2 Gleich, David F.
2 Gottlieb, Sigal
2 Grant, Zachary J.
2 Higham, Nicholas J.
2 Ho, Lam Si Tung
2 Hoang, Thi-Thao-Phuong
2 House, Thomas
2 Isherwood, Leah
2 Jawecki, Tobias
2 Kloster, Kyle
2 Li, Xiao
2 Liang, Jie
2 Loffeld, John
2 Michels, Dominik Ludewig
2 Naranjo-Noda, F. S.
2 Navarro, Enrique A.
2 Oseledets, Ivan V.
2 Pettitt, Anthony N.
2 Pieper, Konstantin
2 Pollett, Philip K.
2 Pudykiewicz, Janusz A.
2 Rainwater, Greg
2 Reichel, Lothar
2 Roy, Debasish
2 Saad, Yousef
2 Sadkane, Miloud
2 Suchard, Marc A.
2 Terebus, Anna
2 Tyrtyshnikov, Evgeniĭ Evgen’evich
2 Vasu, Ram Mohan
2 Vianello, Marco
2 Weiner, Rüdiger
2 Wu, Gang
2 Xue, Jungong
2 Ye, Qiang
2 Zhang, Xiuying
2 Zhu, Jiang
1 Ackerer, Damien
1 Ait-Haddou, Rachid
1 Alizard, Frédéric
1 Alvermann, Andreas
1 Arias, Enrique
1 Ashi, Hala A.
1 Auzinger, Winfried
1 Behnke, Ronny
1 Bersier, Louis-Félix
1 Bhatt, Harish P.
1 Binder, Benjamin James
...and 210 more Authors
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Cited in 70 Serials

23 Journal of Computational Physics
22 Journal of Computational and Applied Mathematics
12 Applied Mathematics and Computation
11 Applied Numerical Mathematics
9 BIT
8 Numerical Algorithms
7 Computers & Mathematics with Applications
7 Journal of Scientific Computing
6 SIAM Journal on Matrix Analysis and Applications
6 SIAM Journal on Scientific Computing
5 Linear Algebra and its Applications
5 Journal of Theoretical Biology
4 Theoretical Population Biology
4 Mathematical and Computer Modelling
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3 Computer Methods in Applied Mechanics and Engineering
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2 Mathematical Biosciences
2 Bulletin of Mathematical Biology
2 ACM Transactions on Mathematical Software
2 International Journal for Numerical Methods in Engineering
2 Mathematics and Computers in Simulation
2 SIAM Journal on Numerical Analysis
2 Applied Mathematics Letters
2 Computational Statistics
2 SIAM Review
1 Computers and Fluids
1 International Journal for Numerical Methods in Fluids
1 International Journal of Solids and Structures
1 Inverse Problems
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Mathematics of Computation
1 Biometrics
1 Calcolo
1 Journal of Applied Probability
1 Journal of Econometrics
1 Journal of Optimization Theory and Applications
1 Numerische Mathematik
1 Operations Research
1 Systems & Control Letters
1 ACM Transactions on Graphics
1 Queueing Systems
1 European Journal of Applied Mathematics
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Pattern Recognition
1 Computational Statistics and Data Analysis
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Mathematical Problems in Engineering
1 Finance and Stochastics
1 Optimization Methods & Software
1 Journal of the Royal Statistical Society. Series C. Applied Statistics
1 International Journal of Numerical Modelling
1 European Journal of Mechanics. B. Fluids
1 Computational Geosciences
1 Combustion Theory and Modelling
1 Journal of High Energy Physics
1 Multiscale Modeling & Simulation
1 Internet Mathematics
1 Advances in Difference Equations
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1 Axioms
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1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys

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