Applications of the Groetsch theorem (Q1574259)

The authors investigate representations of various classes of generalized inverses of bounded linear operators on a Hilbert space. The method of obtaining these representations is based on the full-rank factorization of operators. As corollaries, some iterative methods for computing reflexive generalized inverses are obtained including the main result from \textit{P. S. Stanimirović} and \textit{D. S. Djordjević} [Acta Math. Hung. 79, No. 3, 253-268 (1998; Zbl 0907.65041)].