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On Tikhonov Functionals Penalized by Bregman Distances

dc.creatorBleyer, Ismael
dc.creatorLeitão, A.
dc.date2009-12-01
dc.date.accessioned2019-05-03T12:36:37Z
dc.date.available2019-05-03T12:36:37Z
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1446
dc.identifier.urihttp://revistaschilenas.uchile.cl/handle/2250/84178
dc.descriptionWe investigate Tikhonov regularization methods for linear and nonlinear ill-posed problems in Banach spaces, where the penalty term is described by Bregman distances. We prove convergence and stability results. Moreover, using appropriate source conditions, we are able to derive rates of convergence in terms of Bregman distances. We also analyze an iterated Tikhonov method for nonlinear problems, where the penalization is given by an appropriate convex functional.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1446/1301
dc.sourceCUBO, A Mathematical Journal; Vol. 11 Núm. 5 (2009): CUBO, A Mathematical Journal; 99–115es-ES
dc.sourceCUBO, A Mathematical Journal; Vol 11 No 5 (2009): CUBO, A Mathematical Journal; 99–115en-US
dc.source0719-0646
dc.source0716-7776
dc.titleOn Tikhonov Functionals Penalized by Bregman Distancesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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