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Tensor complementarity problems: the GUS-property and an algorithm
Liu, Dongdong1; Li, Wen2; Vong, Seak-Weng1
2018
Source PublicationLINEAR & MULTILINEAR ALGEBRA
ISSN0308-1087
Volume66Issue:9Pages:1726-1749
Abstract

In this paper, we study the global uniqueness and solvability (GUS-property) of tensor complementarity problems (TCPs) for some special structured tensors. The modulus equation for TCPs is also proposed, and based on this equation, we develop the corresponding nonsmooth Newton's method, which extends the existing method given in the work of Zheng H and Li W. The modulus-based nonsmooth Newton's method for solving linear complementarity problems. J Comput Appl Math. 2015;288: 116-126. Numerical examples are given to demonstrate the efficiency of the proposed algorithm.

KeywordTensor Complementarity Problems Global Uniqueness And Solvability The Modulus Equation Pk Tensor Strong (Strictly) Semi-positive Tensor
DOIhttp://doi.org/10.1080/03081087.2017.1369929
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000438137600002
PublisherTAYLOR & FRANCIS LTD
The Source to ArticleWOS
Fulltext Access
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Cited Times [WOS]:13   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorLi, Wen
Affiliation1.Department of Mathematics, University of Macau, Macau, China
2.School of Mathematical Sciences, South China Normal University, Guangzhou, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Liu, Dongdong,Li, Wen,Vong, Seak-Weng. Tensor complementarity problems: the GUS-property and an algorithm[J]. LINEAR & MULTILINEAR ALGEBRA,2018,66(9):1726-1749.
APA Liu, Dongdong,Li, Wen,&Vong, Seak-Weng.(2018).Tensor complementarity problems: the GUS-property and an algorithm.LINEAR & MULTILINEAR ALGEBRA,66(9),1726-1749.
MLA Liu, Dongdong,et al."Tensor complementarity problems: the GUS-property and an algorithm".LINEAR & MULTILINEAR ALGEBRA 66.9(2018):1726-1749.
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