The continuity of the solution map in linear complementarity problems with underlying k-matrices

被引：2

作者：

Huynh The Phung ^{[1
]}

Tran Thien Tin ^{[2
]}

机构：

[1] Hue Univ Sci, Dept Math, Hue, Vietnam

[2] Hue Univ Educ, Dept Math, Hue, Vietnam

来源：

OPTIMIZATION | 2015年 / 64卷 / 04期

关键词：

linear complementarity problem; solution map; k-matrix; complete k-matrix; 90C33; 15A15;

D O I：

10.1080/02331934.2013.833200

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：

By , we denote the solution set of the linear complementarity problem : Find satisfying where is a fixed n-square matrix and is an n-vector. So is a set-valued map from to . In this paper, we will prove that, if is a k-matrix, that is for all , then the solution map of the linear complementarity problem is continuous at every interior point of its domain. The relationship between k-matrices and other matrix classes will also be discussed.

引用

页码：839 / 851

页数：13