Tensor Complementarity Problem and Semi-positive Tensors

Yisheng Song () and Liqun Qi ()
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Yisheng Song: Henan Normal University
Liqun Qi: The Hong Kong Polytechnic University

Journal of Optimization Theory and Applications, 2016, vol. 169, issue 3, No 17, 1069-1078

Abstract: 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.

Keywords: Tensor complementarity; Strictly semi-positive; Strictly copositive; Unique solution; 47H15; 47H12; 34B10; 47A52; 47J10; 47H09; 15A48; 47H07 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (28)

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DOI: 10.1007/s10957-015-0800-2

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