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.

引用

页码：2311 / 2321

页数：11

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