Positive-Definite Tensors to Nonlinear Complementarity Problems

Maolin Che; Liqun Qi; Yimin Wei

doi:10.1007/s10957-015-0773-1

Positive-Definite Tensors to Nonlinear Complementarity Problems

Maolin Che
, Liqun Qi
, Yimin Wei

Research output: Journal article publication › Journal article › Academic research › peer-review

150 Citations (Scopus)

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.

Original language	English
Pages (from-to)	475-487
Number of pages	13
Journal	Journal of Optimization Theory and Applications
Volume	168
Issue number	2
DOIs	https://doi.org/10.1007/s10957-015-0773-1
Publication status	Published - 1 Feb 2016

Keywords

Copositive tensor
Diagonalizable tensors
Nonlinear complementarity problems
Positive-definite tensor
Symmetric tensor

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

More information

10.1007/s10957-015-0773-1

Cite this

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KW - Nonlinear complementarity problems

KW - Positive-definite tensor

KW - Symmetric tensor

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Positive-Definite Tensors to Nonlinear Complementarity Problems

Abstract

Keywords

ASJC Scopus subject areas

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