Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators

Abstract

Recently Jidesh et al. (2015), considered a quadratic convergence yielding iterative method for obtaining approximate solution to nonlinear ill-posed operator equation F(x)=y, where F: D(F) ? X ? X is a monotone operator and X is a real Hilbert space. In this paper we consider the finite dimensional realization of the method considered in Jidesh et al. (2015). Numerical example justifies our theoretical results. 2015 Elsevier Inc. All rights reserved.