Error estimates for Krylov subspace approximations of matrix exponentials

DOI10.1016/0377-0427(96)00006-4zbMath0859.65040OpenAlexW2060769027MaRDI QIDQ1923468

T. S. Leyk, David E. Stewart

Publication date: 7 April 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(96)00006-4

zbMATH Keywords

error estimatesnumerical examplesmatrix exponentialKrylov subspaceChebyshev series approximations

Mathematics Subject Classification ID

Related Items (7)

A study of defect-based error estimates for the Krylov approximation of \(\varphi\)-functions ⋮ Unnamed Item ⋮ \textit{TimeEvolver}: a program for time evolution with improved error bound ⋮ A new approach for determining the time step when propagating with the Lanczos algorithm ⋮ Approximation of matrix operators applied to multiple vectors ⋮ Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions ⋮ A posteriori error estimates of Krylov subspace approximations to matrix functions

Cites Work

• Matrix Analysis
• Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
• Efficient Solution of Parabolic Equations by Krylov Approximation Methods

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