齐次可列马尔科夫链幂收敛性的注记  

Notes on Convergence by Power for Homogeneous Denumerable Markov Chains

作　　者：傅自晦[1] 

机构地区：[1]山东烟台大学数学与信息科学系,烟台264005

出　　处：《数学研究》1997年第3期312-316,共5页Journal of Mathematical Study

摘　　要：给出齐次可列马尔科夫键转移矩阵的一种置换相似标准型，并用之来讨论键的极限性态，分别明确给出转移矩阵益收敛于零矩阵、非零矩阵、随机矩阵、常随机矩阵和正的常随机矩阵的充分必要条件．By means of a sort of permutation similar standard form of transition matrix of homogeneous denumerable Markov chain,the limit behaviours of Markov chain are studied, And for the different power limits of transition matrices, for example,null matrit,non zero matrix, stochastic matrix, constant stochastic matrix and positive constant stochastic matrix, the necessary and suffcient conditions are clearly obtained.

关 键 词：随机矩阵 注记 非零矩阵 极限性态 收敛性 马尔科夫链 充分必要条件 换相 转移矩阵 置换 

分 类 号：O151.21[理学—数学] O175.26[理学—基础数学]