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International Journal of Computer Mathematics Volume 91, 2014 - Issue 3
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Section B

Expressions for the generalized Drazin inverse of a block matrix in a Banach algebra

Dijana MosićFaculty of Sciences and Mathematics, University of Niš, Višegradska 33, P.O. Box 224 18000, Niš, SerbiaCorrespondence[email protected]
Pages 514-526 | Received 25 Aug 2012, Accepted 26 Mar 2013, Published online: 20 May 2013
 
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Abstract

The aim of this paper is to establish explicit representations of the generalized Drazin inverse of a block matrix with the generalized Schur complement being generalized Drazin invertible in a Banach algebra, which covers the case when the generalized Schur complement is equal to zero.

2010 AMS Subject Classifications:

Acknowledgements

The author is supported by the Ministry of Education and Science, Republic of Serbia, grant no. 174007.

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