On the Convergence of Regularization Methods for Ill-Posed Linear Operator Equations
Heinz W. Engl · Birkhäuser Basel eBooks · 1983
Throughout this note, let X and Y be real Hilbert spaces, A: X → Y a bounded linear operator with non-closed range R(A). By A † we denote the Moore-Penrose inverse of A, which is a closed, but unbounded linear operator defined on D(A † ) = R(A) + R(A)⊥. For properties of A † we use see [11] or [5].