矩阵直和的特征与应用  

The property of direct sum of matrices and its application

作　　者：程滢洁 熊瑶 李昱 CHENG Ying-jie;XIONG Yao;LI(College of Mathematics and statistical,Hubei Normal University,Hubei 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）》2018年第2期48-52,共5页Journal of Hubei Normal University：Natural Science

摘　　要：通过矩阵的满秩分解及矩阵的g-逆得到了矩阵直和的一些特征性质.并且利用这些性质研究了两个幂等矩阵直和的充要条件.This artile introduces some properties as direct sum of matrix by apply the full rank decomposition of matrix and the g-inverse of matrix. Furthermore,we use these properties to research in the necessary and sufficient conditions for the direct sum as two idempotent matrices.

关 键 词：矩阵直和 满秩分解 幂等矩阵 矩阵g-逆 

分 类 号：O151.2[理学—数学]