严格对角占优M-矩阵A的A-1∞上界估计式的改进

The improved upper bound estimation of A-1∞ for strictly diagonally dominant M-matrices

摘要: 利用严格对角占优M-矩阵A的逆矩阵A-1的非主对角元素上界的估计式,给出了A-1∞上界估计式的改进.证明了所得估计式改进了几个现有文献的结果,并用数值算例进行了说明.

Abstract: Several improved upper bounds of A-1∞ are given for strictly diagonally dominant M-matrixby using the upper bound estimations of non main diagonal elements for the inverse matrix A-1 of matrix A,and we prove that the estimators improve some results of existing literatures,and it is illustrated with numerical examples.