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 |
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Pages (from-to) | 1069-1078 |
Number of pages | 10 |
Journal | Journal of Optimization Theory and Applications |
Volume | 169 |
Issue number | 3 |
DOIs | |
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