Dashnic-Zusmanovich矩阵的线性互补问题解的含参误差界  

Linear Complementarity Problems of Dashnic-Zusmanovich Matrices with Parametered Error Bounds

作　　者：王芝凤 李朝迁[1] WANG Zhifeng;LI Chaoqian(School of Mathematics and Statistics,Yunnan University,Kunming 650500,Yunnan)

机构地区：[1]云南大学数学与统计学院,云南昆明650500

出　　处：《四川师范大学学报（自然科学版）》2021年第1期23-27,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：云南省科技厅应用基础研究计划面上项目(2018FB001);云南省优秀青年培育项目(2018YDJQ021)。

摘　　要：线性互补问题在运筹学、计算数学、金融学和工程中具有广泛应用.针对Dashnic-Zusmanovich矩阵线性互补问题解的误差估计进行研究,应用严格对角占优矩阵逆的无穷范数上界估计式,给出其解的误差界的含参数上界,再利用函数的单调性确定含参误差界的最优值.给出数值例子说明结果的有效性以及表明某些情况下所获结果优于已有结果.Linear complementarity problems are widely used in operations research,computational mathematics,finance and engineering.In this paper,we focus on error bounds for linear complementarity problems of Dashnic-Zusmanovich matrices,and give an upper error bound with parameters by using the upper bound for the infinite norm of the inverse of strictly diagonally dominant matrices.Its optimal value is also obtained by using the monotonicity of the function.Numerical examples are given to illustrate the effectiveness of the results,and show that the new bound is better than some existing results in some cases.

关 键 词：Dashnic-Zusmanovich矩阵 线性互补 误差界 H-矩阵 

分 类 号：O241.1[理学—计算数学]