Block Preconditioned SSOR Methods for -Matrices Linear Systems

We present a block preconditioner and consider block preconditioned SSOR iterative methods for solving linear system . When is an -matrix, the convergence and some comparison results of the spectral radius for our methods are given. Numerical examples are also given to illustrate that our methods a...

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Main Authors: Zhao-Nian Pu, Xue-Zhong Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/213659
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author Zhao-Nian Pu
Xue-Zhong Wang
author_facet Zhao-Nian Pu
Xue-Zhong Wang
author_sort Zhao-Nian Pu
collection DOAJ
description We present a block preconditioner and consider block preconditioned SSOR iterative methods for solving linear system . When is an -matrix, the convergence and some comparison results of the spectral radius for our methods are given. Numerical examples are also given to illustrate that our methods are valid.
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institution Kabale University
issn 1110-757X
1687-0042
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publishDate 2013-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-4baa0dc8658946d4889a76362fb44ebb2025-02-03T05:52:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/213659213659Block Preconditioned SSOR Methods for -Matrices Linear SystemsZhao-Nian Pu0Xue-Zhong Wang1School of Mathematics and Statistics, Hexi University, Zhangye, Gansu 734000, ChinaSchool of Mathematics and Statistics, Hexi University, Zhangye, Gansu 734000, ChinaWe present a block preconditioner and consider block preconditioned SSOR iterative methods for solving linear system . When is an -matrix, the convergence and some comparison results of the spectral radius for our methods are given. Numerical examples are also given to illustrate that our methods are valid.http://dx.doi.org/10.1155/2013/213659
spellingShingle Zhao-Nian Pu
Xue-Zhong Wang
Block Preconditioned SSOR Methods for -Matrices Linear Systems
Journal of Applied Mathematics
title Block Preconditioned SSOR Methods for -Matrices Linear Systems
title_full Block Preconditioned SSOR Methods for -Matrices Linear Systems
title_fullStr Block Preconditioned SSOR Methods for -Matrices Linear Systems
title_full_unstemmed Block Preconditioned SSOR Methods for -Matrices Linear Systems
title_short Block Preconditioned SSOR Methods for -Matrices Linear Systems
title_sort block preconditioned ssor methods for matrices linear systems
url http://dx.doi.org/10.1155/2013/213659
work_keys_str_mv AT zhaonianpu blockpreconditionedssormethodsformatriceslinearsystems
AT xuezhongwang blockpreconditionedssormethodsformatriceslinearsystems