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

被引：9

作者：

Bu, Changjiang ^{[1
]}

Feng, Chengcheng ^{[1
]}

Dong, Pengfei ^{[1
]}

机构：

[1] Dept. of Applied Math., College of Science, Harbin Engineering University, Harbin 150001, China

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; 15A09;

D O I：

10.1007/s12190-011-0501-4

中图分类号：

学科分类号：

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 [inline-graphic not available: see fulltext] (A and D are square) with generalized Schur complement S=D−CADB 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).

引用

页码：631 / 640

页数：9

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