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Expressions for the generalized Drazin inverse of a block matrix in a Banach algebra |
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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. |
| Keywords: | generalized Drazin inverse Schur complement block matrix |