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Article: Weighted Tikhonov filter matrices for ill-posed problems

TitleWeighted Tikhonov filter matrices for ill-posed problems
Authors
KeywordsWeighted Tikhonov regularization
Filter matrices
Rank deficient
Weighted pseudoinverse
Issue Date2004
Citation
Applied Mathematics and Computation, 2004, v. 149, n. 2, p. 411-422 How to Cite?
AbstractWe consider the concept of weighted Tikhonov filter matrices in connection to discrete ill-posed and rank-deficient linear problems. Some properties of the weighted Tikhonov filter matrices are given together with their filtering and regularization effects. We also present perturbation identities for the weighted Tikhonov regularized linear least squares problem using weighted filter matrices generalizing well known weighted perturbation identities for the weighted linear least squares problem and weighted pseudoinverses. © 2003 Elsevier Inc. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/276742
ISSN
2023 Impact Factor: 3.5
2023 SCImago Journal Rankings: 1.026
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWei, Yimin-
dc.contributor.authorNg, Michael-
dc.date.accessioned2019-09-18T08:34:31Z-
dc.date.available2019-09-18T08:34:31Z-
dc.date.issued2004-
dc.identifier.citationApplied Mathematics and Computation, 2004, v. 149, n. 2, p. 411-422-
dc.identifier.issn0096-3003-
dc.identifier.urihttp://hdl.handle.net/10722/276742-
dc.description.abstractWe consider the concept of weighted Tikhonov filter matrices in connection to discrete ill-posed and rank-deficient linear problems. Some properties of the weighted Tikhonov filter matrices are given together with their filtering and regularization effects. We also present perturbation identities for the weighted Tikhonov regularized linear least squares problem using weighted filter matrices generalizing well known weighted perturbation identities for the weighted linear least squares problem and weighted pseudoinverses. © 2003 Elsevier Inc. All rights reserved.-
dc.languageeng-
dc.relation.ispartofApplied Mathematics and Computation-
dc.subjectWeighted Tikhonov regularization-
dc.subjectFilter matrices-
dc.subjectRank deficient-
dc.subjectWeighted pseudoinverse-
dc.titleWeighted Tikhonov filter matrices for ill-posed problems-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0096-3003(03)00149-8-
dc.identifier.scopuseid_2-s2.0-0348170680-
dc.identifier.volume149-
dc.identifier.issue2-
dc.identifier.spage411-
dc.identifier.epage422-
dc.identifier.isiWOS:000188651000010-
dc.identifier.issnl0096-3003-

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