正规矩阵的范数和它的幂级数收敛性  

The Norm of Normal Matrix and the Convergence of Its 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）》2011年第1期18-21,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：研究了正规矩阵的范数,给出了正规矩阵的几种常用范数的几个性质;利用范数和谱半径与矩阵幂级数的收敛性的关系,给出了关于正规矩阵的幂级数收敛性的一些新结论.This article has studied the norm of normal matrix and has given some properties of several kinds of commonly used norm of normal matrix; by using the relation between the norm, the spectral radius and the convergence of matrix power series, the article also gives some new conclusions about the convergence of normal matrix power series.

关 键 词：矩阵范数 矩阵幂级数 谱半径 特征值 绝对收敛 

分 类 号：O151[理学—数学]