Regularized approximation methods with perturbations for ill-posed operator equations
- We are concerned with a parameter choice strategy for the Tikhonov regularization \((\tilde{A}+\alpha I)\tilde{x}\) = T* \(\tilde{y}\)+ w where \(\tilde{A}\) is a (not necessarily selfadjoint) approximation of T*T and T*\(\tilde y\)+ w is a perturbed form of the (not exactly computed) term T*y. We give conditions for convergence and optimal convergence rates.
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| Author: | M. Thamban Nair, Eberhard Schock |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-50642 |
| Series (Serial Number): | Preprints (rote Reihe) des Fachbereich Mathematik (231) |
| Document Type: | Report |
| Language of publication: | English |
| Date of Publication (online): | 2017/11/10 |
| Year of first Publication: | 1992 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2017/11/10 |
| Page Number: | 11 |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Creative Commons 4.0 - Namensnennung, nicht kommerziell, keine Bearbeitung (CC BY-NC-ND 4.0) |