GENERALIZED INVERSES, LIMITS AND PARTITIONED MATRICES

Bilall I. SHAINI, Predrag S. STANIMIROVIĆ

Abstract

Our final result is interconnectedness between the generalized inverses of partitioned matrices and limit representations of generalized inverses. These results are established using relationships between generalized Schur complements and of an appropriate partitioned matrix . Also, some essential relations are investigated between the blocks involved in generalized inverses of and generalized inverses of the Schur complements and . Some rank equalities on generalized inverses are obtained. AMS Subj. Class.: 15A09, 15A10

Pages: 322 - 333