Titlebar

Bibliographische Daten exportieren
Literatur vom gleichen Autor
plus im Publikationsserver
plus bei Google Scholar

Lesezeichen anlegen
 

Variational Inequalities and Improved Convergence Rates for Tikhonov Regularisation on Banach Spaces

Titelangaben

Verfügbarkeit überprüfen

Grasmair, Markus:
Variational Inequalities and Improved Convergence Rates for Tikhonov Regularisation on Banach Spaces.
In: Journal of Inverse and Ill-posed Problems. Bd. 21 (2013) Heft 3. - S. 379-394.
ISSN 1569-3945 ; 0928-0219

Volltext

Link zum Volltext (externe URL): http://arxiv.org/pdf/1107.2471.pdf

Kurzfassung/Abstract

In this paper we derive higher order convergence rates in terms of the Bregman distance for Tikhonov like convex regularisation for linear operator equations on Banach spaces. The approach is based on the idea of variational inequalities, which are, however, not imposed on the original Tikhonov functional, but rather on a dual functional. Because of that, the approach is not limited to convergence rates of lower order, but yields the same range of rates that is well known for quadratic regularisation on Hilbert spaces.

Weitere Angaben

Publikationsform:Artikel
Institutionen der Universität:Mathematisch-Geographische Fakultät > Mathematik > Lehrstuhl für Mathematik - Wissenschaftliches Rechnen/Informatik
Peer-Review-Journal:Ja
Titel an der KU entstanden:Ja
Eingestellt am:25. Jun 2013 12:47
Letzte Änderung:26. Jun 2013 15:26
URL zu dieser Anzeige:http://edoc.ku-eichstaett.de/13316/