Article ID Journal Published Year Pages File Type
4625827 Applied Mathematics and Computation 2016 7 Pages PDF
Abstract

We present new results on existence and representation of the generalized Drazin inverse for elements in Banach algebras, involving the generalized Schur complement. They extend cases studied in the literature where the generalized Schur complement is assumed to be nonsingular, or zero, or group invertible. The results are applied to obtain formulas for cases of special interest.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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