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：
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 [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.
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页码：631 / 640
页数：9
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