弱链对角占优B-矩阵线性互补问题误差界的新估计式

A New Error Bound for Linear Complementarity Problems for Weakly Chained Diagonally Dominant B-Matrices

本文利用弱链对角占优M-矩阵逆矩阵无穷范数上界的估计式,结合不等式放缩技术,给出弱链对角占优B-矩阵线性互补问题误差界的一个新估计式。数值算例表明,新估计式改进了现有的几个结果。

In this paper, by the infinity norm bound of inverse matrix of weakly chained diagonally dominant M-matrices, we give a new error bound for the linear complementarity problem when the matrix involved is a weakly chained diagonally dominant B-matrix, which improves some existing ones. Numerical examples are given to show the corresponding results.