关于逆N_0-矩阵的若干性质  

Properties on Inverse N_0-matrices

作　　者：李华[1] 

机构地区：[1]电子科技大学应用数学学院,四川成都610054

出　　处：《数学的实践与认识》2007年第13期163-166,共4页Mathematics in Practice and Theory

摘　　要：1989年Meyer为计算马尔可夫链的平稳分布向量构造了一个算法,首次提出非负不可约矩阵的Perron补的概念.在非负不可约矩阵的广义Perron补若干性质的基础上,给出逆N0-矩阵的几个性质.The concept of the Perron complement of a nonnegative and irreducible matrix was introduced by Meyer in 1989 and was used to construct an algorithm for computing the stationary distribution vector for Markov chain. In this paper, we consider some beautiful properties of the inverse N0-matrix on the basis of some properties of the generalized Perron complement of a nonnegative and irreducible matrix.

关 键 词：SCHUR补 Perron补 广义Perron补 逆M-矩阵 逆N0-矩阵 

分 类 号：O211.62[理学—概率论与数理统计]