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Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
| Content Provider | Scilit |
|---|---|
| Author | Hohage, Thorsten |
| Copyright Year | 1997 |
| Description | Journal: Inverse Problems Convergence and logarithmic convergence rates of the iteratively regularized Gauss - Newton method in a Hilbert space setting are proven provided a logarithmic source condition is satisfied. This method is applied to an inverse potential and an inverse scattering problem, and the source condition is interpreted as a smoothness condition in terms of Sobolev spaces for the case where the domain is a circle. Numerical experiments yield convergence and convergence rates of the form expected by our general convergence theorem. |
| Related Links | http://iopscience.iop.org/article/10.1088/0266-5611/13/5/012/pdf |
| Ending Page | 1299 |
| Page Count | 21 |
| Starting Page | 1279 |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/13/5/012 |
| Journal | Inverse Problems |
| Issue Number | 5 |
| Volume Number | 13 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1997-10-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Applied Mathematics Inverse Scattering Problem |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
