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

页码：683 / 699

页数：17

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