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Tensor methods for solving symmetric M-tensor systems
Ze-Jia Xie1; Xiao-Qing Jin1; Yi-Min We2
2017-05-03
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
Volume74Issue:1Pages:412-425
Abstract

Tensor systems involving tensor-vector products (or polynomial systems) are considered. We solve these tensor systems, especially focusing on symmetric -tensor systems, by some tensor methods. A new tensor method is proposed based on the rank-1 approximation of the coefficient tensor. Numerical examples show that the tensor methods could be more efficient than the Newton method for some -tensor systems.

KeywordTensor System M-tensor Polynomial Systems Tensor Method Newton Method
DOI10.1007/s10915-017-0444-5
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000419601500018
PublisherSPRINGER/PLENUM PUBLISHERS
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Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorYi-Min We
Affiliation1.Department of Mathematics, University of Macau, Taipa, Macao, China
2.School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Ze-Jia Xie,Xiao-Qing Jin,Yi-Min We. Tensor methods for solving symmetric M-tensor systems[J]. JOURNAL OF SCIENTIFIC COMPUTING,2017,74(1):412-425.
APA Ze-Jia Xie,Xiao-Qing Jin,&Yi-Min We.(2017).Tensor methods for solving symmetric M-tensor systems.JOURNAL OF SCIENTIFIC COMPUTING,74(1),412-425.
MLA Ze-Jia Xie,et al."Tensor methods for solving symmetric M-tensor systems".JOURNAL OF SCIENTIFIC COMPUTING 74.1(2017):412-425.
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