Expressions for the Drazin Inverse of a Modified Matrix

被引：1

作者：

Stojkovic, Lazar ^{[1
]}

Mosic, Dijana ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia

来源：

FILOMAT | 2018年 / 32卷 / 18期

关键词：

Drazin inverse; Sherman-Morrison-Woodbury formula; modified matrix; REPRESENTATIONS;

D O I：

10.2298/FIL1818387S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some new expressions for the Drazin inverse of a modified matrix A (CDB)-B-D in terms of the Drazin inverse of A and its generalized Shur's complement D-BA(D)C under weaker conditions. Some results in recent literature are unified and generalized, and most importantly, we obtain new expressions of generalized Sherman-Morrison-Woodbury formula under weaker restrictions.

引用

页码：6387 / 6394

页数：8

共 13 条

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