关于方阵幂级数收敛性判定定理的一些注记  

Notes on Determination Theorem of the Convergence of Square Matrix Power Series

作　　者：郭华[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《重庆工商大学学报（自然科学版）》2012年第7期33-35,共3页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：研究了矩阵幂级数,利用方阵A的特征值和方阵A的幂级数系数之间的各种关系,给出了方阵幂级数绝对收敛和发散的一系列判定法.The matrix power series is studied, by using matrix A and power series of square matrix A, this article has and divergence of the square matrix power series. all kinds of relations between given a series of criteria of the eigenvalue of square absolute convergence

关 键 词：矩阵幂级数 谱半径 矩阵范数 特征值 绝对收敛 

分 类 号：O151.21[理学—数学]