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Computable upper error bounds for Krylov approximations to matrix exponentials and associated [Formula: see text] -functions

An a posteriori estimate for the error of a standard Krylov approximation to the matrix exponential is derived. The estimate is based on the defect (residual) of the Krylov approximation and is proven to constitute a rigorous upper bound on the error, in contrast to existing asymptotical approximati...

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Detalles Bibliográficos
Autores principales: Jawecki, Tobias, Auzinger, Winfried, Koch, Othmar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7039864/
https://www.ncbi.nlm.nih.gov/pubmed/32161518
http://dx.doi.org/10.1007/s10543-019-00771-6

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