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Backward error analysis of the shift-and-invert Arnoldi algorithm

We perform a backward error analysis of the inexact shift-and-invert Arnoldi algorithm. We consider inexactness in the solution of the arising linear systems, as well as in the orthonormalization steps, and take the non-orthonormality of the computed Krylov basis into account. We show that the compu...

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Detalles Bibliográficos
Autores principales: Schröder , Christian, Taslaman, Leo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5445523/
https://www.ncbi.nlm.nih.gov/pubmed/28615740
http://dx.doi.org/10.1007/s00211-015-0759-9

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