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An a posteriori estimate for the error of a standard Krylov approximation to the matrix exponential is derived.
Electron correlations in narrow energy bands
J. Hubbard · 1963
Earlier work this paper cites.
Error analysis of the Lanczos algorithm for tridiagonalizing a symmetric matrix
C.C. Paige · 1976
Earlier work this paper cites.
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R.A. Horn and C.R. Johnson · 1985
Earlier work this paper cites.
Unitary quantum time evolution by iterative Lanczos reduction
T.J. Park and J.C. Light · 1986
Earlier work this paper cites.
Two polynomial methods of calculating functions of symmetric matrices
V. Druskin and L. Knizhnerman · 1989
Earlier work this paper cites.
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G. H. Golub and C. F. Van Loan · 1989
Earlier work this paper cites.
Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences
A. Greenbaum · 1989
Earlier work this paper cites.
Control theoretic techniques for stepsize selection in explicit Runge–Kutta methods
K. Gustafsson · 1991
Earlier work this paper cites.
Error bounds in the simple Lanczos procedure for computing functions of symmetric matrices and eigenvalues
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Earlier work this paper cites.
Efficient solution of parabolic equations by Krylov approximation methods
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Earlier work this paper cites.
Analysis of some Krylov subspace approximations to the matrix exponential operator
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
On Krylov subspace approximations to the matrix exponential operator
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V. Druskin, A. Greenbaum, and L. Knizhnerman · 1998
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Exponential integrators for large systems of differential equations
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Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
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Error estimation and evaluation of matrix functions via the Faber transform
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A new approach for determining the time step when propagating with the Lanczos algorithm
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