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

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,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.