Positive-Definite Tensors to Nonlinear Complementarity Problems

被引：155

作者：

Che, Maolin ^{[1
]}

Qi, Liqun ^{[2
]}

Wei, Yimin ^{[3
,4
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[4] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 168卷 / 02期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1007/s10957-015-0773-1

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

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.

引用

页码：475 / 487

页数：13

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