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
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
收藏
页码:631 / 640
页数:9
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