Acceleration techniques for regularized Newton methods applied to electromagnetic inverse medium scattering problems
Numerical Analysis
2015-04-01 v1
Abstract
We study the construction and updating of spectral preconditioners for regularized Newton methods and their application to electromagnetic inverse medium scattering problems. Moreover, we show how a Lepski\u{i}-type stopping rule can be implemented efficiently for these methods. In numerical examples, the proposed method compares favorably with other iterative regularization method in terms of work-precision diagrams for exact data. For data perturbed by random noise, the Lepski\u{i}-type stopping rule performs considerably better than the commonly used discrepancy principle.
Cite
@article{arxiv.1003.4472,
title = {Acceleration techniques for regularized Newton methods applied to electromagnetic inverse medium scattering problems},
author = {Thorsten Hohage and Stefan Langer},
journal= {arXiv preprint arXiv:1003.4472},
year = {2015}
}