dc.contributor.author | Johnston, PR | |
dc.contributor.author | Gulrajani, RM | |
dc.date.accessioned | 2017-05-03T13:56:28Z | |
dc.date.available | 2017-05-03T13:56:28Z | |
dc.date.issued | 2002 | |
dc.date.modified | 2009-10-09T06:09:59Z | |
dc.identifier.issn | 1064-8275 | |
dc.identifier.doi | 10.1137/S1064827500373516 | |
dc.identifier.uri | http://hdl.handle.net/10072/6997 | |
dc.description.abstract | Solving 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.peerreviewed | Yes | |
dc.description.publicationstatus | Yes | |
dc.format.extent | 234241 bytes | |
dc.format.mimetype | application/pdf | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | Society for Industrial and Applied Mathematics | |
dc.publisher.place | United States | |
dc.publisher.uri | http://www.siam.org/journals/sisc.php | |
dc.relation.ispartofpagefrom | 428 | |
dc.relation.ispartofpageto | 442 | |
dc.relation.ispartofissue | 2 | |
dc.relation.ispartofjournal | SIAM Journal on Scientific Computing | |
dc.relation.ispartofvolume | 24 | |
dc.subject.fieldofresearch | Applied mathematics | |
dc.subject.fieldofresearch | Numerical and computational mathematics | |
dc.subject.fieldofresearch | Theory of computation | |
dc.subject.fieldofresearchcode | 4901 | |
dc.subject.fieldofresearchcode | 4903 | |
dc.subject.fieldofresearchcode | 4613 | |
dc.title | An Analysis of the Zero-Crossing Method for Choosing Regularisation Parameters | |
dc.type | Journal article | |
dc.type.description | C1 - Articles | |
dc.type.code | C - Journal Articles | |
gro.faculty | Griffith 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.issued | 2002 | |
gro.hasfulltext | Full Text | |
gro.griffith.author | Johnston, Peter R. | |