On the connectedness of solution sets in linear complementarity problems

被引：17

作者：

Jones, C ^{[1
]}

Gowda, MS ^{[1
]}

机构：

[1] Univ Maryland Baltimore Cty, Dept Math & Stat, Baltimore, MD 21250 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1998年 / 272卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0024-3795(97)00282-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate conditions on a square matrix M for which every LCP(M, q) (with q arbitrary) has a connected solution set. We show that a matrix with this property is necessarily fully semimonotone. Using degree theory, we show that the solution set of LCP(M, q) corresponding to a P-0-matrix is connected if there is a bounded connected component in the solution set. (C) 1998 Elsevier Science Inc.

引用

页码：33 / 44

页数：12

共 16 条

[1] P-c-matrices and the linear complementarity problem [J].