The Representation and Computational Procedures for the Generalized Inverse of an Operator A in Hilbert Spaces
Yaoming Yu, Yimin Wei · Numerical Functional Analysis and Optimization · 2009
In the paper, we present some representations of the generalized inverse over Banach spaces and Hilbert spaces and apply these results to five specific cases to derive specific representations and computational procedures for the generalized inverse of a bounded linear operator in Hilbert spaces and their error bounds. In addition, we give the equivalent conditions for the existence of over Banach spaces.