M-矩阵的等价表征

Equivalent Representations of M-matrices

本文引进了按环路弱不可约非零元素链对角占优的概念,讨论了M-矩阵的等价条件,给出了M-矩阵的两个等价表征,改进与推广了[1]、[2]、[5]、[9]的相应结果。

In this paper, we introduce the concept of weak irreducible diagonal dominant matrix with nonzero element chain according circuit, discuss equivalent conditions of M-matrices, and give two equivalent characterizations of M-matrices which improve and generalize the corresponding results in [1] , [2] , [5] . [9].