Iterative methods for computing generalized inverses and splittings of operators

摘要

In this paper we consider an iterative method for computing generalized inverses of linear operators, based on splittings of operators. Thus, the result from [Yong-Lin Chen, Xue-Yuan Tan, Computing generalized inverses of matrices by iterative methods based on splitting of matrices, Appl. Math. Comp. 163 (2005) 309–325] is extended to infinite dimensional settings.