M-矩阵的等价表征  

Equivalent Representations of M-matrices

作　　者：逄明贤[1] 孙玉祥[1] 

机构地区：[1]吉林师范学院,吉林市132011

出　　处：《应用数学》1995年第1期44-50,共7页Mathematica Applicata

摘　　要：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].

关 键 词：对角占优 有向图 M矩阵 G函数 弱不可约矩阵 

分 类 号：O157.5[理学—数学]