期刊
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
卷 169, 期 3, 页码 1069-1078出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-015-0800-2
关键词
Tensor complementarity; Strictly semi-positive; Strictly copositive; Unique solution
资金
- National Natural Science Foundation of P.R. China [11571905, 11271112, 61262026]
- NCET Programm of the Ministry of Education [NCET 13-0738]
- Program for Innovative Research Team (in Science and Technology) in University of Henan Province [14IRTSTHN023]
- science and technology programm of Jiangxi Education Committee [LDJH12088]
- Hong Kong Research Grant Council [PolyU 502111, 501212, 501913, 15302114]
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.
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