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dc.contributor.authorAlbani, V.
Elbau, P.
de Hoop, M.V.
Scherzer, O.
dc.date.accessioned 2017-05-23T19:32:18Z
dc.date.available 2017-05-23T19:32:18Z
dc.date.issued 2016
dc.identifier.citation Albani, V., Elbau, P., de Hoop, M.V., et al.. "Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces." Numerical Functional Analysis and Optimizationᅠ, 37, no. 5 (2016) Taylor & Francis: 521-540. http://dx.doi.org/10.1080/01630563.2016.1144070.
dc.identifier.urihttps://hdl.handle.net/1911/94367
dc.description.abstract In this article, we prove optimal convergence rates results for regularization methods for solving linear ill-posed operator equations in Hilbert spaces. The results generalizes existing convergence rates results on optimality to general source conditions, such as logarithmic source conditions. Moreover, we also provide optimality results under variational source conditions and show the connection to approximative source conditions.
dc.language.iso eng
dc.publisher Taylor & Francis
dc.rights This is an Open Access article. Non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly attributed, cited, and is not altered, transformed, or built upon in any way, is permitted. The moral rights of the named author(s) have been asserted.
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.title Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces
dc.type Journal article
dc.citation.journalTitle Numerical Functional Analysis and Optimizationᅠ
dc.subject.keywordapproximative source conditions
convergence rates
linear inverse problems
regularization
variational source conditions
dc.citation.volumeNumber 37
dc.citation.issueNumber 5
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1080/01630563.2016.1144070
dc.identifier.pmcid PMC4959128
dc.identifier.pmid 27499565
dc.type.publication publisher version
dc.citation.firstpage 521
dc.citation.lastpage 540


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This is an Open Access article. Non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly attributed, cited, and is not altered, transformed, or built upon in any way, is permitted. The moral rights of the named author(s) have been asserted.
Except where otherwise noted, this item's license is described as This is an Open Access article. Non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly attributed, cited, and is not altered, transformed, or built upon in any way, is permitted. The moral rights of the named author(s) have been asserted.