dc.contributor.author | Grasmair, Markus | |
dc.date.accessioned | 2021-02-25T11:30:59Z | |
dc.date.available | 2021-02-25T11:30:59Z | |
dc.date.created | 2020-06-12T18:01:25Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0163-0563 | |
dc.identifier.uri | https://hdl.handle.net/11250/2730362 | |
dc.description.abstract | In this paper, we consider convex Tikhonov regularization for the solution of linear operator equations on Hilbert spaces. We show that standard fractional source conditions can be employed in order to derive convergence rates in terms of the Bregman distance, assuming some stronger convexity properties of either the regularization term or its convex conjugate. In the special case of quadratic regularization, we are able to reproduce the whole range of Hölder type convergence rates known from classical theory. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Taylor & Francis | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Source Conditions for Non-Quadratic Tikhonov Regularization | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.journal | Numerical Functional Analysis and Optimization | en_US |
dc.identifier.doi | 10.1080/01630563.2020.1772289 | |
dc.identifier.cristin | 1815294 | |
dc.description.localcode | © 2020 The Author(s). Published with license by Taylor and Francis Group, LLC This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way. | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |