Representations for the Drazin inverse of the generalized Schur complement
Abstract
In this paper we present expressions for the Drazin inverse of the generalized Schur complement A-CDdB in terms of the Drazin inverses of A and the generalized Schur complement D-BAdC under less and weaker restrictions, which generalize several results in the literature and the formula of Sherman-Morrison-Woodbury type.
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