On the strong P-regular splitting iterative methods for non-Hermitian linear systems

The strong P -regular splitting is put forward and defined for iterative methods of non-Hermitian linear systems in the paper. The strong P -regular splitting combining SOR iterative methods and relaxed SOR iterative methods are established, and conditions guaranteeing the convergence are presented....

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 11; pp. 11879 - 11893
Main Authors Lu, Junxiang, Zhang, Chengyi
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
convergence
non-hermitian positive definite matrices
p-regular splitting
sor methods
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ISSN2473-6988
2473-6988
DOI10.3934/math.2021689

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Summary:The strong P -regular splitting is put forward and defined for iterative methods of non-Hermitian linear systems in the paper. The strong P -regular splitting combining SOR iterative methods and relaxed SOR iterative methods are established, and conditions guaranteeing the convergence are presented. Furthermore, two numerical experiments are done to illustrate the convergence and effectiveness of our iterative methods.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021689