A note on the representation for the Drazin inverse of 2 × 2 block matrices

In this note we consider representations of the Drazin inverse of 2 × 2 block matrices under conditions weaker than those used in recent papers on the subject, in particular in [D.S. Djordjević, P.S. Stanimirović, On the generalized Drazin inverse and generalized resolvent, Czechoslovak Math. J. 51...

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Bibliographic Details
Published inLinear algebra and its applications Vol. 429; no. 1; pp. 242 - 248
Main Author Cvetković-Ilić, Dragana S.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 01.07.2008
Elsevier Science
Subjects
Additive result
Algebra
Block matrix
Drazin inverse
Exact sciences and technology
Linear and multilinear algebra, matrix theory
Mathematics
Sciences and techniques of general use
Drazin inverse
Additive result
15A09
Block matrix
Resolvent
Matrix inversion
Generalized inverse
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Summary:In this note we consider representations of the Drazin inverse of 2 × 2 block matrices under conditions weaker than those used in recent papers on the subject, in particular in [D.S. Djordjević, P.S. Stanimirović, On the generalized Drazin inverse and generalized resolvent, Czechoslovak Math. J. 51 (126) (2001) 617–634; R. Hartwig, X. Li, Y. Wei, Representations for the Drazin inverse of 2 × 2 block matrix, SIAM J. Matrix Anal. Appl. 27 (2006) 757–771].
ISSN:0024-3795
DOI:10.1016/j.laa.2008.02.019