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Logarithmic convergence rate of Levenberg-Marquardt method with application to an inverse potential problem
- We prove logarithmic convergence rate of the Levenberg-Marquardt method in a Hilbert space if a logarithmic source condition is satisfied. This method is applied to an inverse potential problem. Numerical implementations demonstrate the convergence rate.
Author details: | Christine BöckmannORCiDGND, Athassawat Kammanee, Andreas Braunss |
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DOI: | https://doi.org/10.1515/JIIP.2011.034 |
ISSN: | 0928-0219 |
Title of parent work (English): | Journal of inverse and ill-posed problems |
Publisher: | De Gruyter |
Place of publishing: | Berlin |
Publication type: | Article |
Language: | English |
Year of first publication: | 2011 |
Publication year: | 2011 |
Release date: | 2017/03/26 |
Tag: | Levenberg-Marquardt method; discrepancy principle; inverse potential problems; logarithmic convergence rate; logarithmic source condition |
Volume: | 19 |
Issue: | 3 |
Number of pages: | 23 |
First page: | 345 |
Last Page: | 367 |
Funding institution: | Prince of Songkla University |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |