Representations for the Drazin Inverse of the Sum of Two Matrices and its Applications

被引：10
|
作者：
Guo, Li [1 ,2 ]
Chen, Jianlong [1 ]
Zou, Honglin [3 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Beihua Univ, Sch Math & Stat, Jilin 132013, Jilin, Peoples R China
[3] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2019年 / 45卷 / 03期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Block matrix; Drazin inverse; Index; Full rank decomposition;
D O I：
10.1007/s41980-018-0159-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some additive results for the Drazin inverses are investigated under conditions weaker than those used in some recent papers on this subject. In particular, a formula is given for the Drazin inverse of a sum of two matrices P,QCnxn with PQiP=0 for positive integer i=1,2,...,n. As an application we give some new representations for the Drazin inverse of a 2x2 block matrix.
引用
收藏
页码：683 / 699
页数：17
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