Positive-Definite Tensors to Nonlinear Complementarity Problems

Maolin Che (), Liqun Qi () and Yimin Wei ()
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Maolin Che: Fudan University
Liqun Qi: The Hong Kong Polytechnic University
Yimin Wei: Fudan University

Journal of Optimization Theory and Applications, 2016, vol. 168, issue 2, No 5, 475-487

Abstract: Abstract The main purpose of this paper was to investigate some kinds of nonlinear complementarity problems (NCP). For the structured tensors, such as symmetric positive-definite tensors and copositive tensors, we derive the existence theorems on a solution of these kinds of nonlinear complementarity problems. We prove that a unique solution of the NCP exists under the condition of diagonalizable tensors.

Keywords: Copositive tensor; Symmetric tensor; Positive-definite tensor; Diagonalizable tensors; Nonlinear complementarity problems; 15A18; 15A69; 65F15; 65F10 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (36)

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DOI: 10.1007/s10957-015-0773-1

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