Expokit
Data up to Jan 2025
Total Citations Per Year
Abstract
References (36)
Matrix computations
1983 • 31,414 citations
Matrix computations (3rd ed.)
1996 • 6,229 citations
Nonnegative Matrices in the Mathematical Sciences
1979 • 5,691 citations
Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods
1994 • 3,427 citations
Matrix-Geometric Solutions in Stochastic Models. An Algorithmic Approach.
1982 • 3,302 citations
Nonnegative Matrices in the Mathematical Sciences
1994 • 3,212 citations
Non-negative Matrices and Markov Chains
1981 • 2,877 citations
Numerical Methods for Large Eigenvalue Problems
1992 • 1,719 citations
Nineteen Dubious Ways to Compute the Exponential of a Matrix
1978 • 1,534 citations
On Krylov Subspace Approximations to the Matrix Exponential Operator
1997 • 780 citations
Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
1992 • 661 citations
SPARSKIT: A basic tool kit for sparse matrix computations
1990 • 650 citations
Sparse matrix test problems
1989 • 649 citations
Exponential Integrators for Large Systems of Differential Equations
1998 • 495 citations
Non-Negative Matrices and Markov Chains.
1983 • 454 citations
Efficient Solution of Parabolic Equations by Krylov Approximation Methods
1992 • 323 citations
Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
1967 • 310 citations
The Sensitivity of the Matrix Exponential
1977 • 272 citations
Numerical Computation of the Matrix Exponential with Accuracy Estimate
1977 • 230 citations
Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods
1994 • 222 citations
Performability analysis using semi-Markov reward processes
1990 • 151 citations
Chebyshev rational approximations to e−x in [0, +∞) and applications to heat-conduction problems
1969 • 147 citations
Numerical methods for large eigenvalue problems
2002 • 136 citations
Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
1991 • 117 citations
Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic
1995 • 113 citations
A recurrence among the elements of functions of triangular matrices
1976 • 109 citations
A numerical study of large sparse matrix exponentials arising in Markov chains
1999 • 84 citations
Extended numerical computations on the “1/9” conjecture in rational approximation theory
1984 • 59 citations
Scientific Computations on Mathematical Problems and Conjectures
1987 • 46 citations
Transient Solutions of Markov Processes by Krylov Subspaces
1995 • 31 citations
Error estimates for Krylov subspace approximations of matrix exponentials
1996 • 29 citations
Alternatives for parallel Krylov subspace basis computation
1997 • 22 citations
Alternatives for parallel Krylov subspace basis computation
1997 • 18 citations
Using Krylov approximations to the matrix exponential operator in Davidson's method
1999 • 6 citations
Proceedings of the 2022 Computational Techniques and Applications Conference
2023 • 3 citations
Deleted Work
1955 • 0 citations