Extension of GKB- FP algorithm to large- scale general- form Tikhonov regularization

dc.creatorBazan, FSV
dc.creatorCunha, MCC
dc.creatorBorges, LS
dc.date2014
dc.dateMAY
dc.date2014-07-30T17:34:09Z
dc.date2015-11-26T16:31:47Z
dc.date2014-07-30T17:34:09Z
dc.date2015-11-26T16:31:47Z
dc.date.accessioned2018-03-28T23:12:58Z
dc.date.available2018-03-28T23:12:58Z
dc.identifierNumerical Linear Algebra With Applications. Wiley-blackwell, v. 21, n. 3, n. 316, n. 339, 2014.
dc.identifier1070-5325
dc.identifier1099-1506
dc.identifierWOS:000334694200002
dc.identifier10.1002/nla.1874
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/66535
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/66535
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1270312
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionIn a recent paper an algorithm for large-scale Tikhonov regularization in standard form called GKB-FP was proposed and numerically illustrated. In this paper, further insight into the convergence properties of this method is provided, and extensions to general-form Tikhonov regularization are introduced. In addition, as alternative to Tikhonov regularization, a preconditioned LSQR method coupled with an automatic stopping rule is proposed. Preconditioning seeks to incorporate smoothing properties of the regularization matrix into the computed solution. Numerical results are reported to illustrate the methods on large-scale problems. Copyright (c) 2013 John Wiley & Sons, Ltd.
dc.description21
dc.description3
dc.description316
dc.description339
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCNPq [308709/2011-0, 477093/2011-6]
dc.descriptionFAPESP [2009/52193-1]
dc.languageen
dc.publisherWiley-blackwell
dc.publisherHoboken
dc.publisherEUA
dc.relationNumerical Linear Algebra With Applications
dc.relationNumer. Linear Algebr. Appl.
dc.rightsfechado
dc.rightshttp://olabout.wiley.com/WileyCDA/Section/id-406071.html
dc.sourceWeb of Science
dc.subjectTikhonov regularization
dc.subjectlarge-scale problems
dc.subjectill-posed problems
dc.subjectIll-posed Problems
dc.subjectL-curve
dc.subjectPreconditioned Lsqr
dc.subjectIterative Methods
dc.subjectLinear-equations
dc.subjectLeast-squares
dc.subjectParameter
dc.subjectProjection
dc.subjectCriterion
dc.subjectSystems
dc.titleExtension of GKB- FP algorithm to large- scale general- form Tikhonov regularization
dc.typeArtículos de revistas


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