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.
Metadaten
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)