Some generalizations of the new SOR-like method for solving symmetric saddle-point problems

Some generalizations of the new SOR-like method for solving symmetric saddle-point problems

Abstract Saddle-point problems arise in many areas of scientific computing and engineering applications. Research on the efficient numerical methods of these problems has become a hot topic in recent years. In this paper, we propose some generalizations of the new SOR-like method based on the origin...

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Main Authors: Ruiping Wen, Ruihuan Wu, Jinrui Guan
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Journal of Inequalities and Applications
Subjects:
Saddle-point problems
SOR-like method
Matrix splitting iteration method
Convergence
Online Access:http://link.springer.com/article/10.1186/s13660-018-1738-3
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spelling doaj-9e878efda83a4f52a9a7bdf411901d8c2020-11-24T20:53:36ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-06-012018111210.1186/s13660-018-1738-3Some generalizations of the new SOR-like method for solving symmetric saddle-point problemsRuiping Wen0Ruihuan Wu1Jinrui Guan2Key Laboratory of Engineering & Computing Science, Shanxi Provincial Department of Education/Department of Mathematics, Taiyuan Normal UniversityDepartment of Mathematics, Taiyuan Normal University, Taiyuan Normal UniversityDepartment of Mathematics, Taiyuan Normal University, Taiyuan Normal UniversityAbstract Saddle-point problems arise in many areas of scientific computing and engineering applications. Research on the efficient numerical methods of these problems has become a hot topic in recent years. In this paper, we propose some generalizations of the new SOR-like method based on the original method. Convergence of these methods is discussed under suitable restrictions on iteration parameters. Numerical experiments are given to show that these methods are effective and efficient.http://link.springer.com/article/10.1186/s13660-018-1738-3Saddle-point problemsSOR-like methodMatrix splitting iteration methodConvergence
collection DOAJ
language English
format Article
sources DOAJ
author Ruiping Wen
Ruihuan Wu
Jinrui Guan
spellingShingle Ruiping Wen
Ruihuan Wu
Jinrui Guan
Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
Journal of Inequalities and Applications
Saddle-point problems
SOR-like method
Matrix splitting iteration method
Convergence
author_facet Ruiping Wen
Ruihuan Wu
Jinrui Guan
author_sort Ruiping Wen
title Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_short Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_full Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_fullStr Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_full_unstemmed Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_sort some generalizations of the new sor-like method for solving symmetric saddle-point problems
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2018-06-01
description Abstract Saddle-point problems arise in many areas of scientific computing and engineering applications. Research on the efficient numerical methods of these problems has become a hot topic in recent years. In this paper, we propose some generalizations of the new SOR-like method based on the original method. Convergence of these methods is discussed under suitable restrictions on iteration parameters. Numerical experiments are given to show that these methods are effective and efficient.
topic Saddle-point problems
SOR-like method
Matrix splitting iteration method
Convergence
url http://link.springer.com/article/10.1186/s13660-018-1738-3
work_keys_str_mv AT ruipingwen somegeneralizationsofthenewsorlikemethodforsolvingsymmetricsaddlepointproblems
AT ruihuanwu somegeneralizationsofthenewsorlikemethodforsolvingsymmetricsaddlepointproblems
AT jinruiguan somegeneralizationsofthenewsorlikemethodforsolvingsymmetricsaddlepointproblems
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