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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Vydáno v:Linear algebra and its applications Ročník 429; číslo 1; s. 242 - 248
Hlavní autor: Cvetković-Ilić, Dragana S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York, NY Elsevier Inc 01.07.2008
Elsevier Science
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ISSN:0024-3795
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Shrnutí: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