Improved regularizing iterative methods for ill-posed nonlinear systems
Numerical Analysis
2015-04-17 v2
Abstract
In this paper we address the numerical solution of nonlinear ill-posed systems by iterative regularization methods in the classes of Levenberg-Marquardt, trust-region and adaptive quadratic regularization procedures. Both with exact and noisy data, our focus is on the potential to approach a solution of the unperturbed systems without assumptions on its vicinity to the initial guess. Regularizing properties of the methods proposed are shown theoretically and validated numerically along with enhanced convergence.
Cite
@article{arxiv.1410.2780,
title = {Improved regularizing iterative methods for ill-posed nonlinear systems},
author = {Stefania Bellavia and Benedetta Morini},
journal= {arXiv preprint arXiv:1410.2780},
year = {2015}
}
Comments
It has been significantly improved and the new version with a new title is available at arXiv:1504.03442