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On TSVD regularization for a Broyden-type algorithm
| Content Provider | Scilit |
|---|---|
| Author | Smirnova, Alexandra |
| Copyright Year | 2017 |
| Abstract | An applied inverse problem in the form of a nonlinear operator equation on a pair of two Hilbert spaces is considered. In the lack of stability, a version of Broyden’s method regularized by truncated singular value decomposition (TSVD) is proposed in order to suppress the potential noise propagation and to reduce the cost associated with storage and inversion of the Fréchet derivative operator. An attractive feature of this study is that it does not rely on any restrictions on the nonlinearity of the operator and/or on the spectrum of the Fréchet derivative. For the numerical analysis of the proposed algorithm, a parameter identification problem in epidemiology is investigated. |
| Related Links | http://www.degruyter.com/downloadpdf/j/jiip.ahead-of-print/jiip-2017-0086/jiip-2017-0086.xml |
| Ending Page | 564 |
| Page Count | 14 |
| Starting Page | 551 |
| ISSN | 09280219 |
| e-ISSN | 15693945 |
| DOI | 10.1515/jiip-2017-0086 |
| Journal | Journal of Inverse and Ill-Posed Problems |
| Issue Number | 4 |
| Volume Number | 26 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2018-08-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of Inverse and Ill-posed Problems Applied Mathematics Truncated Broyden's Method Ill-posed Problem Regularization Stopping Rule Journal: Journal of Inverse and Ill-Posed Problems, Vol- 26 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
