Nonstationary lterated Tikhonov Regularization

  • A convergence rate is established for nonstationary iterated Tikhonov regularization, applied to ill-posed problems involving closed, densely defined linear operators, under general conditions on the iteration parameters. lt is also shown that an order-optimal accuracy is attained when a certain a posteriori stopping rule is used to determine the iteration number.

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Metadaten
Author:Martin Hanke, C.W. Groetsch
URN:urn:nbn:de:hbz:386-kluedo-48628
Series (Serial Number):Preprints (rote Reihe) des Fachbereich Mathematik (277)
Document Type:Report
Language of publication:English
Date of Publication (online):2017/10/16
Year of first Publication:1996
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2017/10/16
Page Number:14
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)