Analysis on the smoothing method for the P-linear complementarity systems

被引：0

作者：

Yang, W. H. ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

Linear complementarity systems; Smoothing method; P-matrix; Semismooth; DIFFERENTIAL VARIATIONAL-INEQUALITIES;

D O I：

10.1016/j.na.2009.09.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A smoothing method for solving the linear complementarity systems (LCS) has been proposed by Zheng in his thesis. In Zheng's algorithm, the LCS is reformulated as a parameterized differential-algebraic equation (DAE). However, the existence of the solution of the parameterized DAE is not proved. The aim of this paper is to establish the existence of the solution of the parameterized DAE and to demonstrate the continuous dependence of the solution on the parameter and the initial value of the parameterized DAE. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1961 / 1966

页数：6

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