The Drazin inverse for perturbed block-operator matrices

被引：0
|
作者：
Chen, Huanyin [1 ]
Sheibani, Marjan [2 ]
机构：
[1] Fuzhou Univ Int Studies & Trade, Sch Big Data, Fuzhou, Peoples R China
[2] Semnan Univ, Farzanegan Campus, Semnan, Iran
来源：
FILOMAT | 2024年 / 38卷 / 07期
关键词：
Drazin inverse; anti-triangular matrix; perturbation; block-operator matrix; SUM;
D O I：
10.2298/FIL2407311C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present new formulas of Drazin inverses for anti-triangular block-operator matrices. If B pi ADB = 0, B pi ABD = 0 and B pi ABA pi = 0, the explicit representation of the Drazin inverse of a blockA I ) operator anti- triangular matrix is given. Thus a generalization of [A note on the Drazin inverse B 0 for an anti-triangular matrix, Linear Algebra Appl., 431(2009), 1910-1922] is obtained. Some applications to full block-operator matrices are thereby considered.
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页码：2311 / 2321
页数：11
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