Error bounds for linear complementarity problems of DB-matrices

被引：54
|
作者：
Dai, Ping-Fan [1 ]
机构：
[1] Sanming Univ, Dept Math & Comp Sci, Sanming 365004, Fujian, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 03期
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 50 条
  • [21] Error bounds for linear complementarity problems of MB-matrices
    Chen, Tingting
    Li, Wen
    Wu, Xianping
    Vong, Seakweng
    NUMERICAL ALGORITHMS, 2015, 70 (02) : 341 - 356
  • [22] New error bounds for linear complementarity problems of Nekrasov matrices and B-Nekrasov matrices
    Li, Chaoqian
    Dai, Pingfan
    Li, Yaotang
    NUMERICAL ALGORITHMS, 2017, 74 (04) : 997 - 1009
  • [23] New error bounds for linear complementarity problems of Nekrasov matrices and B-Nekrasov matrices
    Chaoqian Li
    Pingfan Dai
    Yaotang Li
    Numerical Algorithms, 2017, 74 : 997 - 1009
  • [24] Error bounds for linear complementarity problems of S-QN matrices
    Jicheng Li
    Ge Li
    Numerical Algorithms, 2020, 83 : 935 - 955
  • [25] Error bounds for linear complementarity problems of BπR-matrices
    Orera, Hector
    Pena, Juan Manuel
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (03)
  • [26] New error bounds for linear complementarity problems for BS-matrices
    Wang, Feng
    Yan, Wenwen
    Zhao, Yingxia
    Zhao, Pengcheng
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (05)
  • [27] B-Nekrasov matrices and error bounds for linear complementarity problems
    M. García-Esnaola
    J. M. Peña
    Numerical Algorithms, 2016, 72 : 435 - 445
  • [28] Error Bounds for Linear Complementarity Problems of Nekrasov and Generalized Nekrasov Matrices
    Wang, Shiyun
    Liu, Dan
    Tian, Wanfu
    Lyu, Zhen-Hua
    ACTA APPLICANDAE MATHEMATICAE, 2024, 191 (01)
  • [29] New error bounds for linear complementarity problems of Σ-SDD matrices and SB-matrices
    Hou, Zhiwu
    Jing, Xia
    Gao, Lei
    OPEN MATHEMATICS, 2019, 17 : 1599 - 1614
  • [30] Some new error bounds for linear complementarity problems of H-matrices
    Li, Wen
    Zheng, Hua
    NUMERICAL ALGORITHMS, 2014, 67 (02) : 257 - 269
12345