应用数学2023，Vol.36Issue(1)：1-15,15.
S-Sparse Ostrowski-Brauer矩阵线性互补问题的误差界及其应用
An Error Bound for Linear Complementarity Problems of S-Sparse Ostrowski-Brauer Matrices and Its Applications
摘要
Abstract
In this paper,using inequality scaling techniques and an upper bound on the infinity norm of the inverse of S-Sparse Ostrowski-Brauer(or,for short,S-SOB)matrices,an error bound for the linear complementarity problem(LCP)of S-SOB matrices is presented,which depends only on the entries of the involved matrices.Based on this result,we also give an error bound for the LCP of S-SOB-B matrices.In some cases,the proposed bounds are proved to be better than those of García-Esnaola et al.(2009)and LIU et al.(2021).Numerical examples are given to illustrate the effectiveness of the presented results.关键词
线性互补问题/误差界/S-SOB矩阵/S-SOB-B矩阵Key words
Linear complementarity problem/Error bound/S-SOB matrix/S-SOB-B matrix分类
数理科学引用本文复制引用
刘毅,高磊..S-Sparse Ostrowski-Brauer矩阵线性互补问题的误差界及其应用[J].应用数学,2023,36(1):1-15,15.基金项目
Supported by the National Natural Science Foundation of China(31600299),the Youth Science and Technology Nova Program of Shaanxi Province,China(2022KJXX-01),and the Scientific Research Program Funded by Yunnan Provincial Education Department,China(2022J0949) （31600299）
