A convergence analysis of the iteratively regularized Gauss-Newton method under Lipschitz condition
Numerical Analysis
2009-11-13 v1
Abstract
In this paper we consider the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed inverse problems. Under merely Lipschitz condition, we prove that this method together with an a posteriori stopping rule defines an order optimal regularization method if the solution is regular in some suitable sense.
Cite
@article{arxiv.0803.2373,
title = {A convergence analysis of the iteratively regularized Gauss-Newton method under Lipschitz condition},
author = {Qinian Jin},
journal= {arXiv preprint arXiv:0803.2373},
year = {2009}
}