Block representations of the Drazin inverse of a bipartite matrix

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Minerva Catral
Dale D. Olesky
Pauline van den Driessche

Abstract

Block representations of the Drazin inverse of a bipartite matrix


A=   [ 0     B]


        [C      0]


in terms of the Drazin inverse of the smaller order block product BC or CB are presented. Relationships between the index of A and the index of BC are determined, and examples are given to illustrate all such possible relationships.

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