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 |
|---|---|
| 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 |
