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An entropic Landweber method for linear ill-posed problems
| Content Provider | Scilit |
|---|---|
| Author | Burger, Martin Resmerita, Elena Benning, Martin |
| Copyright Year | 2019 |
| Description | Journal: Inverse Problems The aim of this paper is to investigate the use of a Landweber-type method involving the Shannon entropy for the regularization of linear ill-posed problems. We derive a closed form solution for the iterates and analyze their convergence behaviour both in a case of reconstructing general nonnegative unknowns as well as for the sake of recovering probability distributions. Moreover, we discuss several variants of the algorithm and relations to other methods in the literature. The effectiveness of the approach is studied numerically in several examples. |
| Related Links | https://iopscience.iop.org/article/10.1088/1361-6420/ab5c49/pdf |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/1361-6420/ab5c49 |
| Journal | Inverse Problems |
| Issue Number | 1 |
| Volume Number | 36 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2019-11-27 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Applied Mathematics Ill Posed Linear Ill |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
