Tensor Complementarity Problem and Semi-positive Tensors

Yisheng Song; Liqun Qi

doi:10.1007/s10957-015-0800-2

Tensor Complementarity Problem and Semi-positive Tensors

Yisheng Song
, Liqun Qi

Research output: Journal article publication › Journal article › Academic research › peer-review

126 Citations (Scopus)

Abstract

In this paper, we prove that a real tensor is strictly semi-positive if and only if the corresponding tensor complementarity problem has a unique solution for any nonnegative vector and that a real tensor is semi-positive if and only if the corresponding tensor complementarity problem has a unique solution for any positive vector. It is shown that a real symmetric tensor is a (strictly) semi-positive tensor if and only if it is (strictly) copositive.

Original language	English
Pages (from-to)	1069-1078
Number of pages	10
Journal	Journal of Optimization Theory and Applications
Volume	169
Issue number	3
DOIs	https://doi.org/10.1007/s10957-015-0800-2
Publication status	Published - 1 Jun 2016

Keywords

Strictly copositive
Strictly semi-positive
Tensor complementarity
Unique solution

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

More information

10.1007/s10957-015-0800-2

Cite this

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KW - Tensor complementarity

KW - Unique solution

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Tensor Complementarity Problem and Semi-positive Tensors

Abstract

Keywords

ASJC Scopus subject areas

More information

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