严格对角占优M-矩阵一类界的新估计(英文)

New estimation for a kind of bounds of strictly diagonally dominant M-matrices

目的设A为严格对角占优的M-矩阵,估计||A^(-1)||_∞的上界及最小特征值σ(A)的下界。方法利用严格对角占优的-矩阵A的元素估计这类界。结果给出了||A^(-1)||_∞的一个新的上界估计式和最小特征值σ(A)下界的一个估计式。结论这些新的估计式改进了已有的结果。

Purpose--To estimate the-upper bound for ｜｜A-1｜｜∞ and the lower bound of the smal-lest eigenvalue σ（A）, where A is a real strictly diagonally dominant M-matrix. Method--The elements of a real strictly diagonally dominant M-matrix A are used to estimate these bounds. Results--A new upper bound for ｜｜A-1｜｜∞ and a new lower bound of the smallest eigenvalue σ（A） are presented. Con- elusion--These estimator improve the existing results in the literature.