On convergence of the generalized accelerated overrelaxation method

In this paper, we study the convergence of the generalized accelerated overrelaxation (GAOR) iterative method. That is an extension of the classical convergence result of the generalized successive overrelaxation (GSOR) iterative method. We proposed some theorems, which they obtain better results th...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 181; no. 1; pp. 468 - 477
Main Authors Darvishi, M.T., Hessari, P., Yuan, J.Y.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 01.10.2006
Elsevier
Subjects
Algebra
AOR method
Convergence
Exact sciences and technology
GAOR method
Linear and multilinear algebra, matrix theory
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Sciences and techniques of general use
SOR method
SOR method
GAOR method
AOR method
Convergence
Numerical analysis
Overrelaxation method
Iterative method
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Summary:In this paper, we study the convergence of the generalized accelerated overrelaxation (GAOR) iterative method. That is an extension of the classical convergence result of the generalized successive overrelaxation (GSOR) iterative method. We proposed some theorems, which they obtain better results than similar works. By some numerical examples we show the goodness of our results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.01.047