Author:
Argyros Ioannis K.,George Santhosh
Abstract
We present a new semilocal convergence analysis of Newton- Tikhonov methods for solving ill-posed operator equations in a Hilbert space setting. Using more precise majorizing sequences and under the same computational cost as in earlier studies such as [13]-[20], we provide: weaker sufficient convergence criteria; tighter error estimates on the distances involved and an at least as precise information on the location of the solution. Applications include Hammertein nonlinear integral equations.
Publisher
Academia Romana Filiala Cluj
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)