The Drazin Inverse Matrix Modification Formulae With Peirce Corners

被引：0
|
作者：
Zhang, Daochang [1 ]
Mosic, Dijana [2 ]
Hu, Jianping [1 ]
机构：
[1] Northeast Elect Power Univ, Coll Sci, Jilin, Jilin, Peoples R China
[2] Univ Nis, Fac Sci & Math, POB 224, Nish, Serbia
来源：
FILOMAT | 2021年 / 35卷 / 08期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Peirce corner; modified matrix; Drazin inverse; MOORE-PENROSE INVERSE; REPRESENTATIONS; SUM;
D O I：
10.2298/FIL2108605Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our motivation is to derive the Drazin inverse matrix modification formulae utilizing the Drazin inverses of adequate Peirce corners under some special cases, and the Drazin inverse of a special matrix with an additive perturbation. As applications, several new results for the expressions of the Drazin inverses of modified matrices A - CB and A - (CDB)-B-d are obtained, and some well known results in the literature, as the Sherman-Morrison-Woodbury formula and Jacobson's Lemma, are generalized.
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页码：2605 / 2616
页数：12
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