Tensor Complementarity Problem and Semi-positive Tensors

Yisheng Song, Liqun Qi

Research output: Journal article publicationJournal articleAcademic researchpeer-review

76 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 languageEnglish
Pages (from-to)1069-1078
Number of pages10
JournalJournal of Optimization Theory and Applications
Volume169
Issue number3
DOIs
Publication statusPublished - 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

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