UM  > Faculty of Science and Technology  > DEPARTMENT OF MATHEMATICS
Tensor Methods for Solving Symmetric M -tensor Systems
Xie Z.-J.2; Jin X.-Q.2; Wei Y.-M.1
2018
Source PublicationJournal of Scientific Computing
ISSN08857474
Volume74Issue:1Pages:412-425
AbstractTensor systems involving tensor-vector products (or polynomial systems) are considered. We solve these tensor systems, especially focusing on symmetric M-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 M-tensor systems.
KeywordM-tensor Newton method Polynomial systems Tensor method Tensor system
DOI10.1007/s10915-017-0444-5
URLView the original
Language英語
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Cited Times [WOS]:25   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Fudan University
2.Universidade de Macau
Recommended Citation
GB/T 7714
Xie Z.-J.,Jin X.-Q.,Wei Y.-M.. Tensor Methods for Solving Symmetric M -tensor Systems[J]. Journal of Scientific Computing,2018,74(1):412-425.
APA Xie Z.-J.,Jin X.-Q.,&Wei Y.-M..(2018).Tensor Methods for Solving Symmetric M -tensor Systems.Journal of Scientific Computing,74(1),412-425.
MLA Xie Z.-J.,et al."Tensor Methods for Solving Symmetric M -tensor Systems".Journal of Scientific Computing 74.1(2018):412-425.
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