两矩阵和的Drazin逆表示  

Representations of Drazin Inverse of Sum for Two Matrices

作　　者：郭丽[1] 王安琪 侯宇 栾天[1] GUO Li;WANG Anqi;HOU Yu;LUAN Tian(School of Mathematics and Statistics,Beihua University,Jilin 132013,Jilin Province,China)

机构地区：[1]北华大学数学与统计学院,吉林吉林132013

出　　处：《吉林大学学报（理学版）》2023年第4期739-744,共6页Journal of Jilin University:Science Edition

基　　金：吉林省科技发展计划项目(批准号:YDZJ202201ZYTS648,YDZJ202201ZYTS320);吉林省教育厅科学技术研究规划项目(批准号:JJKH20210028KJ,2014213);北华大学研究生创新项目(批准号:2022[031],2022[002])

摘　　要：考虑两个矩阵之和的Drazin逆的表示.对于n阶矩阵P,Q,利用Cline公式及Drazin逆的性质给出在P^(2)QP^(2)=0,P^(3)QP=0,PQ 3=0,PQ^(2)P=0,P^(2)QPQ=0等条件下两矩阵和P+Q的Drazin逆的表达式.We considered the representation of the Drazin inverses of the sum for two matrices.For n-th order matrices P and Q,the expression of the Drazin inverse of the sum for two matrices P+Q was given by using the Cline formula and the properties of Drazin inverse under the conditions such as P^(2)QP^(2)=0,P^(3)QP=0,PQ 3=0,PQ^(2)P=0,P^(2)QPQ=0,etc.

关 键 词：广义逆 DRAZIN逆 指标 

分 类 号：O151.21[理学—数学]