用方阵幂的性质刻画方阵的特征  

The characters of square matrix are described by the property of square matrix power

作　　者：陈阳 左可正 付芝美 CHEN Yang;ZUO Ke-zheng;FU Zhi-mei(College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《湖北师范大学学报（自然科学版）》2021年第3期11-17,共7页Journal of Hubei Normal University：Natural Science

基　　金：国家自然科学基金(11961076)。

摘　　要：利用矩阵的若当分解、核-幂零分解和Hartwig-Spindelböck分解,分别研究了可对角化矩阵、幂等矩阵、正交幂等矩阵、EP-阵和正规矩阵的性质,并用方阵幂的特征给出了它们的一些新刻画。In this paper,by using the Jordan decomposition,core-nilpotent decomposition and Hartwig-Spindelböck decomposition of matrix,we study the properties of diagonalizable matrix,idempotent matrix,orthogonal idempotent matrix,EP-matrix and normal matrix.In addition,some new descriptions of them are given by the characters of square matrix power.

关 键 词：若当分解 核-幂零分解 Hartwig-Spindelböck分解 矩阵类 

分 类 号：O151.21[理学—数学]