A Discrete Scheme of Landweber Iteration for Solving Nonlinear Ill-Posed Problems

Abstract

In this paper we consider the finite dimensional approximation of Landweber iteration for nonlinear ill-posed problems and propose an a posteriori stopping rule to choose the termination index of the iteration. Under certain conditions, we obtain convergence, a pseudo-optimality estimate, and rates of convergence. A numerical example is given to test the theoretical assertions. © 2001 Academic Press.