A note on computational formulas for the Drazin inverse of certain block matrices

被引：8

作者：

Bu, Changjiang ^{[1
]}

Feng, Chengcheng ^{[1
]}

Dong, Pengfei ^{[1
]}

机构：

[1] Dept. of Applied Math., College of Science, Harbin Engineering University

来源：

Journal of Applied Mathematics and Computing | 2012年 / 38卷 / 1-2期

关键词：

Block matrix; Drazin inverse; Generalized Schur complement;

D O I：

10.1007/s12190-011-0501-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a computational formula for the Drazin inverse of the sum P+Q, then applying it we give some computational formulas for the Drazin inverse of block matrix [InlineEquation not available: see fulltext.] (A and D are square) with generalized Schur complement S=D-CA D B is nonsingular under some conditions. These results extend the results about the Drazin inverse of M given by R. Hartwig, X. Li and Y. Wei (SIAM J. Matrix Anal. Appl. 27:757-771, 2006) and by C. Deng (J. Math. Anal. Appl. 368:1-8, 2010). © 2011 Korean Society for Computational and Applied Mathematics.

引用

页码：631 / 640

页数：9

共 19 条

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