Self-correcting iterative methods for computing {2}-inverses

Predrag S. Stanimirovic

Address. University of Nis, Faculty of Science, Department of Mathematics, Visegradska 33, 18000 Nis, Yugoslavia

E-mail: pecko@pmf.pmf.ni.ac.yu

Abstract.
In this paper we construct a few iterative processes for computing $\{2\}$-inverses of a linear bounded operator.
These algorithms are extensions of the corresponding algorithms introduced in \cite{11} and a method from \cite{8}.
A few error estimates are derived.

AMSclassification. 15A09, 65F20.
 

Keywords. Generalized inverses, Moore--Penrose inverse, error matrix.