The Drazin Inverse of the Sum of Two Matrices and its Applications

被引：4
|
作者：
Xia, Lingling [1 ]
Deng, Bin [1 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
来源：
FILOMAT | 2017年 / 31卷 / 16期
关键词：
Drazin inverse; Block matrix; Generalized Schur complement; Index; BLOCK MATRICES; REPRESENTATIONS; PERTURBATION;
D O I：
10.2298/FIL1716151X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give the results for the Drazin inverse of P + Q, then derive a representation for the Drazin inverse of a block matrix M = [GRAPHICS] under some conditions. Moreover, some alternative representations for the Drazin inverse of M-D where the generalized Schur complement S = D - CA(D)B is nonsingular. Finally, the numerical example is given to illustrate our results.
引用
收藏
页码：5151 / 5158
页数：8
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