UM  > 科技學院  > 數學系
The tensor splitting with application to solve multi-linear systems
Liu, Dongdong1; Li, Wen2; Vong, Seak-Weng1
2018-03
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume330Pages:75-94
Abstract

In this paper, firstly, we introduce the variant tensor splittings, and present some equivalent conditions for a strong M-tensor based on the tensor splitting. Secondly, the existence and uniqueness conditions of the solution for multi-linear systems are given. Thirdly, we propose some tensor splitting algorithms for solving multi-linear systems with coefficient tensor being a strong M-tensor. As an application, a tensor splitting algorithm for solving the multi-linear model of higher order Markov chains is proposed. Numerical examples are given to demonstrate the efficiency of the proposed algorithms. (C) 2017 Elsevier B.V. All rights reserved.

KeywordInverse Of a Tensor Tensor Splitting Strong M-tensor Multi-linear Systems Tensor Splitting Algorithms
DOI10.1016/j.cam.2017.08.009
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000415783000007
PublisherELSEVIER SCIENCE BV
The Source to ArticleWOS
Fulltext Access
Citation statistics
Cited Times [WOS]:24   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorLi, Wen
Affiliation1.Department of Mathematics, University of Macau, Macau
2.School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Liu, Dongdong,Li, Wen,Vong, Seak-Weng. The tensor splitting with application to solve multi-linear systems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2018,330:75-94.
APA Liu, Dongdong,Li, Wen,&Vong, Seak-Weng.(2018).The tensor splitting with application to solve multi-linear systems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,330,75-94.
MLA Liu, Dongdong,et al."The tensor splitting with application to solve multi-linear systems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 330(2018):75-94.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liu, Dongdong]'s Articles
[Li, Wen]'s Articles
[Vong, Seak-Weng]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liu, Dongdong]'s Articles
[Li, Wen]'s Articles
[Vong, Seak-Weng]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liu, Dongdong]'s Articles
[Li, Wen]'s Articles
[Vong, Seak-Weng]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.