摘要
给出了任意一个n阶非负实方阵A为逆M-矩阵的一种简单方便的判定方法.利用此方法,使一个任意阶矩阵A逐次降阶为最后只需利用逆M-矩阵的定义判定其是否为逆M-矩阵,从而可以判定A是否为逆M-矩阵,并对其算法及实现问题进行了研究.
A simple and convenient judging method will be given. It is used to judge whether an n×n nonnegative real matrix A is an inverse M-matrix or not. By using the method, we reduce the order of an n×n matrix A gradually until the reduced matrix can be judged by the definition of inverse M-matrixes. At the same time, aglorithm and its operation problem are also been studied.
出处
《北华大学学报（自然科学版）》
CAS
2004年第2期97-103,共7页
Journal of Beihua University（Natural Science）
关键词
M-矩阵
逆M-矩阵
正定矩阵
并行算法
M-matrix
Inverse M-matrix
Positive definite matrix
Parallel algorithm
