Generalized Drazin inverses of anti-triangular block matrices

Generalized Drazin inverse of certain block matrices in Banach algebras

Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.  

generalized drazin inverse of certain block matrices in banach algebras

several representations of the generalized drazin inverse of an anti-triangular block matrix in banach algebra are given in terms of the generalized banachiewicz--schur form.

Special forms of generalized inverses of row block matrices

Given a row block matrix [A, B ], this paper investigates the relations between the generalized inverse [A, B ]− and the column block matrix [ A− B− ] consisting of two generalized inverses A− and B−. The first step of the investigation is to establish a formula for the minimal rank of the difference [A, B ]− − [ A− B− ] , the second step is to find a necessary and sufficient condition for [A, ...

Forms of Generalized Inverses of Row Block Matrices

Given a row block matrix [A, B ], this paper investigates the relations between the generalized inverse [A, B ]− and the column block matrix [ A− B− ] consisting of two generalized inverses A− and B−. The first step of the investigation is to establish a formula for the minimal rank of the difference [A, B ]− − [ A− B− ] , the second step is to find a necessary and sufficient condition for [A, ...

The explicit representations of the Drazin inverses of a class of block matrices