Global Error Bounds for the Extended Vertical Linear Complementarity Problems of CKV-Type Matrices and CKV-Type B-Matrices

被引：0

作者：

Gao, Lei ^{[1
,2
]}

Jia, Xiudan ^{[2
]}

Jing, Xia ^{[1
,3
]}

Liu, Yi ^{[1
]}

机构：

[1] Yanan Univ, Coll Math & Comp Sci, Yanan 716000, Peoples R China

[2] Baoji Univ Arts & Sci, Sch Math & Informat Sci, Baoji 721013, Peoples R China

[3] North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2024年 / 190卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Extended vertical linear complementarity problem; Error bound; CKV-type matrices; CKV-type B-matrices; THEOREM;

D O I：

10.1007/s10440-024-00644-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some global error bounds with undetermined parameters, which are not always valid, for the extended vertical linear complementarity problems (LCP) of CKV-type matrices and CKV-type B-matrices, are presented by Yan and Wang (Jpn. J. Ind. Appl. Math. 41:129-150, 2024). In this paper, new global error bounds for the extended vertical LCP of CKV-type matrices and CKV-type B-matrices are given, which depend only on the entries of the involved matrices. Numerical examples show that the new bounds are better than those provided in Zhang et al. (Comput. Optim. Appl. 42(3):335-352, 2009) and Wang et al. (Comput. Appl. Math. 40:148, 2021) in some cases.

引用

页数：19

共 22 条

[1] Global error bounds for the extended vertical linear complementarity problems of CKV-type matrices and CKV-type B-matrices
Yan, Liang
Wang, Feng
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2024, 41 (01) : 129 - 150
[2] Global error bounds for the extended vertical linear complementarity problems of CKV-type matrices and CKV-type B-matrices
Liang Yan
Feng Wang
Japan Journal of Industrial and Applied Mathematics, 2024, 41 : 129 - 150
[3] CKV-type B-matrices and error bounds for linear complementarity problems
Song, Xinnian
Gao, Lei
AIMS MATHEMATICS, 2021, 6 (10): : 10846 - 10860
[4] CKV-type matrices with applications
Cvetkovic, Dragana Lj.
Cvetkovic, Ljiljana
Li, Chaoqian
LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 608 : 158 - 184
[5] Global Error Bounds for the Extended Vertical Linear Complementarity Problems of CKV-Type Matrices and CKV-Type B\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$B$\end{document}-Matrices
Lei Gao
Xiudan Jia
Xia Jing
Yi Liu
Acta Applicandae Mathematicae, 2024, 190 (1)
[6] Note on error bounds for linear complementarity problems for B-matrices
Li, Chaoqian
Li, Yaotang
APPLIED MATHEMATICS LETTERS, 2016, 57 : 108 - 113
[7] Global error bounds of the extended vertical linear complementarity problems for Dashnic–Zusmanovich matrices and Dashnic–Zusmanovich-B matrices
Yingxia Zhao
Deshu Sun
Journal of Inequalities and Applications, 2022
[8] Global error bounds of the extended vertical linear complementarity problems for Dashnic-Zusmanovich matrices and Dashnic-Zusmanovich-B matrices
Zhao, Yingxia
Sun, Deshu
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
[9] Global error bounds for the extended vertical LCP of B-type matrices
Wang, Hehui
Zhang, Haibin
Li, Chaoqian
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (04)
[10] Global error bounds for the extended vertical LCP of B-type matrices
Hehui Wang
Haibin Zhang
Chaoqian Li
Computational and Applied Mathematics, 2021, 40

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