Error estimates for Krylov subspace approximations of matrix exponentials
type: Item
instance of: scholarly article
title: Error estimates for Krylov subspace approximations of matrix exponentials
zbMATH Open document ID: 0859.65040
DOI: 10.1016/0377-0427(96)00006-4
author: T. S. Leyk
author: David E. Stewart
published in: Journal of Computational and Applied Mathematics
publication date: 1997-04-07T00:00:00Z
review text: The paper derives a better upper estimate of the error for the Krylov subspace approximations to the exponential of a large matrix than that given ealier in the literature. The method is based on Chebyshev series approximations. Numerical examples illustrate the theoretical results.
reviewed by: F. Szidarovszky
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 932492
zbMATH Keywords: error estimates
zbMATH Keywords: matrix exponential
zbMATH Keywords: numerical examples
zbMATH Keywords: Krylov subspace
zbMATH Keywords: Chebyshev series approximations
MaRDI profile type: Publication
full work available at URL: 0377-0427(96)00006-4
OpenAlex ID: W2060769027
cites work: Efficient Solution of Parabolic Equations by Krylov Approximation Methods
cites work: Matrix Analysis
cites work: Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
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description: scientific article; zbMATH DE number 932492