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Comparison results for splitting iterations for solving multi-linear systems
Li, Wen1; Liu, Dongdong2,3; Vong, Seak-Weng3
2018-12
Source PublicationAPPLIED NUMERICAL MATHEMATICS
ISSN0168-9274
Volume134Pages:105-121
Abstract

It is known that the spectral radius of the iterative tensor can be seen as an approximate convergence rate for solving multi-linear systems by tensor splitting iterative methods. So in this paper, first we give some spectral radius comparisons between two different iterative tensors. Then, we propose the preconditioned tensor splitting method for solving multi-linear systems, which provides an alternative algorithm with the choice of a preconditioner. In particular, also we give some spectral radius comparisons between the preconditioned iterative tensor and the original one. Numerical examples are given to demonstrate the efficiency of the proposed preconditioned methods. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.

KeywordComparison Theorem Tensor Splitting Spectral Radius Multi-linear Systems Preconditioned Methods
DOI10.1016/j.apnum.2018.07.009
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000447092000008
PublisherELSEVIER SCIENCE BV
The Source to ArticleWOS
Fulltext Access
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorLiu, Dongdong
Affiliation1.School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
2.School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China
3.Department of Mathematics, University of Macau, Macau, China
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Li, Wen,Liu, Dongdong,Vong, Seak-Weng. Comparison results for splitting iterations for solving multi-linear systems[J]. APPLIED NUMERICAL MATHEMATICS,2018,134:105-121.
APA Li, Wen,Liu, Dongdong,&Vong, Seak-Weng.(2018).Comparison results for splitting iterations for solving multi-linear systems.APPLIED NUMERICAL MATHEMATICS,134,105-121.
MLA Li, Wen,et al."Comparison results for splitting iterations for solving multi-linear systems".APPLIED NUMERICAL MATHEMATICS 134(2018):105-121.
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