The alternate direction iterative methods for generalized saddle point systems

Abstract The paper studies two splitting forms of generalized saddle point matrix to derive two alternate direction iterative schemes for generalized saddle point systems. Some convergence results are established for these two alternate direction iterative methods. Meanwhile, a numerical example is...

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Main Authors:	Shuanghua Luo, Angang Cui, Cheng-yi Zhang
Format:	Article
Language:	English
Published:	SpringerOpen 2019-11-01
Series:	Journal of Inequalities and Applications
Subjects:	Alternate direction iterative method Generalized saddle point system Convergence
Online Access:	http://link.springer.com/article/10.1186/s13660-019-2235-z

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spelling	doaj-8b9f01edeb0b44a6bcdb9e5bef17c29f2020-11-25T04:06:45ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-11-012019111110.1186/s13660-019-2235-zThe alternate direction iterative methods for generalized saddle point systemsShuanghua Luo0Angang Cui1Cheng-yi Zhang2School of Science, Xi’an Polytechnic UniversitySchool of Mathematics and Satistics, Xi’an Jiaotong UniversitySchool of Economics and Finance, Xi’an Jiaotong UniversityAbstract The paper studies two splitting forms of generalized saddle point matrix to derive two alternate direction iterative schemes for generalized saddle point systems. Some convergence results are established for these two alternate direction iterative methods. Meanwhile, a numerical example is given to show that the proposed alternate direction iterative methods are much more effective and efficient than the existing one.http://link.springer.com/article/10.1186/s13660-019-2235-zAlternate direction iterative methodGeneralized saddle point systemConvergence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Shuanghua Luo Angang Cui Cheng-yi Zhang
spellingShingle	Shuanghua Luo Angang Cui Cheng-yi Zhang The alternate direction iterative methods for generalized saddle point systems Journal of Inequalities and Applications Alternate direction iterative method Generalized saddle point system Convergence
author_facet	Shuanghua Luo Angang Cui Cheng-yi Zhang
author_sort	Shuanghua Luo
title	The alternate direction iterative methods for generalized saddle point systems
title_short	The alternate direction iterative methods for generalized saddle point systems
title_full	The alternate direction iterative methods for generalized saddle point systems
title_fullStr	The alternate direction iterative methods for generalized saddle point systems
title_full_unstemmed	The alternate direction iterative methods for generalized saddle point systems
title_sort	alternate direction iterative methods for generalized saddle point systems
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2019-11-01
description	Abstract The paper studies two splitting forms of generalized saddle point matrix to derive two alternate direction iterative schemes for generalized saddle point systems. Some convergence results are established for these two alternate direction iterative methods. Meanwhile, a numerical example is given to show that the proposed alternate direction iterative methods are much more effective and efficient than the existing one.
topic	Alternate direction iterative method Generalized saddle point system Convergence
url	http://link.springer.com/article/10.1186/s13660-019-2235-z
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The alternate direction iterative methods for generalized saddle point systems

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