Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/16776
Title: Positive-Definite Tensors to Nonlinear Complementarity Problems
Authors: Che, M
Qi, L 
Wei, Y
Keywords: Copositive tensor
Diagonalizable tensors
Nonlinear complementarity problems
Positive-definite tensor
Symmetric tensor
Issue Date: 2015
Publisher: Springer
Source: Journal of optimization theory and applications, 2015 How to cite?
Journal: Journal of optimization theory and applications 
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.
URI: http://hdl.handle.net/10397/16776
ISSN: 0022-3239
EISSN: 1573-2878
DOI: 10.1007/s10957-015-0773-1
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