Some Representations for the Generalized Drazin Inverse \\of Block Matrices in Banach Algebras
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 4
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We give explicit representations of the generalized Drazin inverse of a block matrix having generalized Schur complement generalized Drazin invertible in Banach algebras. Also we give equivalent conditions under which the group inverse of a block matrix exists and a formula for its computation. The provided results extend earlier works given in the literature.
Classification :
46H05, 47A05,15A09
@article{BMMS_2014_37_4_a18,
author = {Dijana Mosi\'c},
title = {Some {Representations} for the {Generalized} {Drazin} {Inverse} \\of {Block} {Matrices} in {Banach} {Algebras}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2014},
volume = {37},
number = {4},
url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_4_a18/}
}
Dijana Mosić. Some Representations for the Generalized Drazin Inverse \\of Block Matrices in Banach Algebras. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2014_37_4_a18/