Block representations of the Drazin inverse of a bipartite matrix
Minerva Catral, Dale D. Olesky, Pauline Van den Driessche · Electronic Journal of Linear Algebra · 2009
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.