Representations of the Drazin inverse for a class of block matrices

In this paper we give a formula for the Drazin inverse of a block matrix F = I I E 0 , where E is square and I is the identity matrix. Further, we get representations of the Drazin inverse for matrices of the form M = A B C 0 , where A is square, under some conditions expressed in terms of the indiv...

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Bibliographic Details
Published in:Linear algebra and its applications 2005-05, Vol.400, p.253-269
Main Authors: Castro-González, N., Dopazo, E.
Format: Article
Language:English
Subjects:
Algebra
Binomial coefficients
Block matrix
Drazin inverse
Exact sciences and technology
Index
Linear and multilinear algebra, matrix theory
Mathematics
Sciences and techniques of general use
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Summary:In this paper we give a formula for the Drazin inverse of a block matrix F = I I E 0 , where E is square and I is the identity matrix. Further, we get representations of the Drazin inverse for matrices of the form M = A B C 0 , where A is square, under some conditions expressed in terms of the individual blocks.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2004.12.027