Novel accelerated methods of tensor splitting iteration for solving multi-systems

Tensor splitting iteration method is a class of popular technique for solving multi-linear systems. In this paper, we present one kind of efficient alternating splitting iteration method, and further generalize accelerated overrelaxation method (AOR) and symmetric accelerated overrelaxation method (...

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Main Authors:	Yajun Xie, Minhua Yin, Changfeng Ma
Format:	Article
Language:	English
Published:	AIMS Press 2020-03-01
Series:	AIMS Mathematics
Subjects:	multi-systems tensor alternating splitting iteration accelerated overrelaxation method symmetric accelerated overrelaxation preconditioned technique
Online Access:	https://www.aimspress.com/article/10.3934/math.2020180/fulltext.html

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record_format	Article
spelling	doaj-5f4b9d5a286f49b8b53f6890ec1e958a2020-11-25T02:59:22ZengAIMS PressAIMS Mathematics2473-69882020-03-01532801281210.3934/math.2020180.Novel accelerated methods of tensor splitting iteration for solving multi-systemsYajun Xie0Minhua Yin1Changfeng Ma21 School of Technology, Fuzhou University of International Studies and Trade, Fuzhou 350202, China2 College of Business Adminstration, Fujian Jiangxia University, Fuzhou 350108, China3 College of Mathematics and Informatics Science & FJKLMAA, Fujian Normal University, Fuzhou 350117, ChinaTensor splitting iteration method is a class of popular technique for solving multi-linear systems. In this paper, we present one kind of efficient alternating splitting iteration method, and further generalize accelerated overrelaxation method (AOR) and symmetric accelerated overrelaxation method (SAOR) from linear systems to multi-systems. Then, one type of preconditioned (alternating) tensor splitting method is also applied for solving multi-systems. Numerical experiments illustrate the efficiency of the provided methods.https://www.aimspress.com/article/10.3934/math.2020180/fulltext.htmlmulti-systemstensor alternating splitting iterationaccelerated overrelaxation methodsymmetric accelerated overrelaxationpreconditioned technique
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yajun Xie Minhua Yin Changfeng Ma
spellingShingle	Yajun Xie Minhua Yin Changfeng Ma Novel accelerated methods of tensor splitting iteration for solving multi-systems AIMS Mathematics multi-systems tensor alternating splitting iteration accelerated overrelaxation method symmetric accelerated overrelaxation preconditioned technique
author_facet	Yajun Xie Minhua Yin Changfeng Ma
author_sort	Yajun Xie
title	Novel accelerated methods of tensor splitting iteration for solving multi-systems
title_short	Novel accelerated methods of tensor splitting iteration for solving multi-systems
title_full	Novel accelerated methods of tensor splitting iteration for solving multi-systems
title_fullStr	Novel accelerated methods of tensor splitting iteration for solving multi-systems
title_full_unstemmed	Novel accelerated methods of tensor splitting iteration for solving multi-systems
title_sort	novel accelerated methods of tensor splitting iteration for solving multi-systems
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2020-03-01
description	Tensor splitting iteration method is a class of popular technique for solving multi-linear systems. In this paper, we present one kind of efficient alternating splitting iteration method, and further generalize accelerated overrelaxation method (AOR) and symmetric accelerated overrelaxation method (SAOR) from linear systems to multi-systems. Then, one type of preconditioned (alternating) tensor splitting method is also applied for solving multi-systems. Numerical experiments illustrate the efficiency of the provided methods.
topic	multi-systems tensor alternating splitting iteration accelerated overrelaxation method symmetric accelerated overrelaxation preconditioned technique
url	https://www.aimspress.com/article/10.3934/math.2020180/fulltext.html
work_keys_str_mv	AT yajunxie novelacceleratedmethodsoftensorsplittingiterationforsolvingmultisystems AT minhuayin novelacceleratedmethodsoftensorsplittingiterationforsolvingmultisystems AT changfengma novelacceleratedmethodsoftensorsplittingiterationforsolvingmultisystems
_version_	1724702788572676096

Novel accelerated methods of tensor splitting iteration for solving multi-systems

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