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arXiv · 1003.4472

Acceleration techniques for regularized Newton methods applied to electromagnetic inverse medium scattering problems

Thorsten Hohage·Stefan Langer
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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.

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Thorsten Hohage, Stefan Langer. 2010-03-23. Acceleration techniques for regularized Newton methods applied to electromagnetic inverse medium scattering problems. https://doi.org/10.1088/0266-5611%2F26%2F7%2F074011

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