Volume 37 • Number 4 • 2014   • Some Representations for the Generalized Drazin Inverse \\of Block Matrices in Banach Algebras Dijana Mosić Abstract. 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. 2010 Mathematics Subject Classification: 46H05, 47A05,15A09 Full text: PDF