不可约逆M-矩阵的广义Perron补

摘要

1989年,Meyor为计算马尔可夫链的平稳分布向量构造了一个算法,提出了非负不可约矩阵的Perron补矩阵的概念,2002年Linzhang Lu提出了的广义Perron补矩阵.本文推广了Neuman的结果得到了关于不可约逆M-矩阵广义Perron补矩阵的几个性质.%The concept of Perron complement of nonnegative and irreducible matrix was introduced by Meyer in 1989 and it was used by him to construct an algonorithm for computing the stationary distribution vector for Markov chain.The extended concept of Perron complement was given by Lingzhang Lu in 2002.Basing the Neuman,s results,we got some better properties of extended complements on irreducible inverse M-matrices.