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Generalized Drazin inverse of block matrices in a Banach algebra
Last modified: 2014-01-31
Abstract
Explicit representations of the generalized Drazin inverse of a
block matrix having generalized Schur complement generalized
Drazin invertible in Banach algebras are presented. 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.
block matrix having generalized Schur complement generalized
Drazin invertible in Banach algebras are presented. 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.
Keywords
generalized Drazin inverse; Schur complement; block matrix