An iterative scheme for solving nonlinear equations with monotone operators
Numerical Analysis
2008-04-22 v1
Abstract
An iterative scheme for solving ill-posed nonlinear operator equations with monotone operators is introduced and studied in this paper. A Dynamical Systems Method (DSM) algorithm for stable solution of ill-posed operator equations with monotone operators is proposed and its convergence is proved. A new discrepancy principle is proposed and justified. A priori and a posteriori stopping rules for the DSM algorithm are formulated and justified.
Cite
@article{arxiv.0804.3388,
title = {An iterative scheme for solving nonlinear equations with monotone operators},
author = {N. S. Hoang and A. G. Ramm},
journal= {arXiv preprint arXiv:0804.3388},
year = {2008}
}