Journal
LINEAR & MULTILINEAR ALGEBRA
Volume 67, Issue 4, Pages 685-696Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081087.2018.1430737
Keywords
S-tensor; semi-positive tensor; tensor complementarity problem; strict feasibility
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Funding
- National Natural Science Foundation of China [11431002]
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Strict feasibility is an important issue in studies on the theory and algorithms of complementarity problems. For the tensor complementarity problem, strict feasibility can be characterized by the S-tensor. In this paper, we discuss properties of S-tensors. We illustrate that principal sub-tensors of an S-tensor are not always an S-tensor. In particular, we propose several necessary and/or sufficient conditions to judge whether a tensor is an S-tensor or not. Moreover, we also discuss relationship among S-tensors and several related tensors.
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