Error bounds for linear complementarity problems of DB-matrices

被引:56
作者
Dai, Ping-Fan [1 ]
机构
[1] Sanming Univ, Dept Math & Comp Sci, Sanming 365004, Fujian, Peoples R China
关键词
Error bounds; Linear complementarity problem; DB-matrix; B-matrix; H-matrix; P-matrix; P-MATRIX;
D O I
10.1016/j.laa.2010.09.049
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Doubly B-matrices (DB-matrices), which properly contain B-matrices, are introduced by Pena (2003) [2]. In this paper we present error bounds for the linear complementarity problem when the matrix involved is a DB-matrix and a new bound for linear complementarity problem of a B-matrix. The numerical examples show that the bounds are sharp. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:830 / 840
页数:11
相关论文
共 14 条
[1]  
[Anonymous], 1979, NONNEGATIVE MATRICES
[2]  
[Anonymous], 1991, ENCY MATH ITS APPL
[3]   PERTURBATION BOUNDS OF P-MATRIX LINEAR COMPLEMENTARITY PROBLEMS [J].
Chen, Xiaojun ;
Xiang, Shuhuang .
SIAM JOURNAL ON OPTIMIZATION, 2008, 18 (04) :1250-1265
[4]   Computation of error bounds for P-matrix linear complementarity problems [J].
Chen, XJ ;
Xiang, SH .
MATHEMATICAL PROGRAMMING, 2006, 106 (03) :513-525
[5]  
COTTLE, 1992, LINEAR COMPLEMENTARI
[6]   A comparison of error bounds for linear complementarity problems of H-matrices [J].
Garcia-Esnaola, M. ;
Pena, J. M. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (05) :956-964
[7]   Error bounds for linear complementarity problems for B-matrices [J].
Garcia-Esnaola, M. ;
Pena, J. M. .
APPLIED MATHEMATICS LETTERS, 2009, 22 (07) :1071-1075
[8]  
Li BS, 1997, LINEAR ALGEBRA APPL, V261, P221
[9]   ERROR-BOUNDS FOR THE LINEAR COMPLEMENTARITY-PROBLEM WITH A P-MATRIX [J].
MATHIAS, R ;
PANG, JS .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 132 :123-136
[10]  
[潘淑珍 PAN Shuzhen], 2008, [福州大学学报. 自然科学版, Journal of Fuzhou University], V36, P639