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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

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Expokit (1998) – ACM Transactions on Mathematical Software | Metascience Observatory Explorer