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dc.contributor.authorJohnston, PR
dc.contributor.authorGulrajani, RM
dc.date.accessioned2017-05-03T13:56:28Z
dc.date.available2017-05-03T13:56:28Z
dc.date.issued2002
dc.date.modified2009-10-09T06:09:59Z
dc.identifier.issn1064-8275
dc.identifier.doi10.1137/S1064827500373516
dc.identifier.urihttp://hdl.handle.net/10072/6997
dc.description.abstractSolving discrete ill-posed problems via Tikhonov regularization introduces the problem of determining a regularization parameter. There are several methods available for choosing such a parameter, yet, in general, the uniqueness of this choice is an open question. Two empirical methods for determining a regularization parameter (which appear in the biomedical engineering literature) are the composite residual and smoothing operator and the zero-crossing method. An equivalence is established between the zero-crossing method and a minimum product criterion, which has previously been linked with the L-curve method. Finally, the uniqueness of a choice of regularization parameter is established under certain restrictions on the Fourier coefficients of the data in the ill-posed problem.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent234241 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherSociety for Industrial and Applied Mathematics
dc.publisher.placeUnited States
dc.publisher.urihttp://www.siam.org/journals/sisc.php
dc.relation.ispartofpagefrom428
dc.relation.ispartofpageto442
dc.relation.ispartofissue2
dc.relation.ispartofjournalSIAM Journal on Scientific Computing
dc.relation.ispartofvolume24
dc.subject.fieldofresearchApplied mathematics
dc.subject.fieldofresearchNumerical and computational mathematics
dc.subject.fieldofresearchTheory of computation
dc.subject.fieldofresearchcode4901
dc.subject.fieldofresearchcode4903
dc.subject.fieldofresearchcode4613
dc.titleAn Analysis of the Zero-Crossing Method for Choosing Regularisation Parameters
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, School of Natural Sciences
gro.rights.copyright© 2002 SIAM. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.date.issued2002
gro.hasfulltextFull Text
gro.griffith.authorJohnston, Peter R.


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