Minimization of Tikhonov Functionals in Banach Spaces
| Autor: | Thomas Bonesky, Kamil S. Kazimierski, Peter Maass, Frank Schöpfer, Thomas Schuster |
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| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2008 (2008) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2008/192679 |
| Popis: | Tikhonov functionals are known to be well suited for obtaining regularized solutions of linear operator equations. We analyze two iterative methods for finding the minimizer of norm-based Tikhonov functionals in Banach spaces. One is the steepest descent method, whereby the iterations are directly carried out in the underlying space, and the other one performs iterations in the dual space. We prove strong convergence of both methods. |
| Databáze: | Directory of Open Access Journals |
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