A stable Richardson iteration method for complex linear systems
type: Item
instance of: scholarly article
title: A stable Richardson iteration method for complex linear systems
zbMATH Open document ID: 0641.65030
DOI: 10.1007/BF01396976
author: B. Fischer
author: Lothar Reichel
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133315
review text: The Richardson iteration method is conceptually simple as well as easy to program and parallelize. This makes the method attractive for the solution of large linear systems of algebraic equations with matrices with complex eigenvalues. We choose the relaxation parameters to be subsets of sets of reciprocals of Fejér points. An ordering of the relaxation parameters is described which ensures that the obtained iterative method is stable and converges asymptotically optimally.
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 4045016
zbMATH Keywords: Richardson iteration method
zbMATH Keywords: relaxation parameters
zbMATH Keywords: Fejér points
zbMATH Keywords: ordering
zbMATH Keywords: optimal asymptotic convergence
zbMATH Keywords: stability
MaRDI profile type: Publication
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OpenAlex ID: W2082492903
description: scientific article; zbMATH DE number 4045016