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- Publisher Website: 10.1016/S0096-3003(03)00149-8
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Article: Weighted Tikhonov filter matrices for ill-posed problems
| Title | Weighted Tikhonov filter matrices for ill-posed problems |
|---|---|
| Authors | |
| Keywords | Weighted Tikhonov regularization Filter matrices Rank deficient Weighted pseudoinverse |
| Issue Date | 2004 |
| Citation | Applied Mathematics and Computation, 2004, v. 149, n. 2, p. 411-422 How to Cite? |
| Abstract | We 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 Identifier | http://hdl.handle.net/10722/276742 |
| ISSN | 2021 Impact Factor: 4.397 2020 SCImago Journal Rankings: 0.972 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Wei, Yimin | - |
| dc.contributor.author | Ng, Michael | - |
| dc.date.accessioned | 2019-09-18T08:34:31Z | - |
| dc.date.available | 2019-09-18T08:34:31Z | - |
| dc.date.issued | 2004 | - |
| dc.identifier.citation | Applied Mathematics and Computation, 2004, v. 149, n. 2, p. 411-422 | - |
| dc.identifier.issn | 0096-3003 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/276742 | - |
| dc.description.abstract | We 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.language | eng | - |
| dc.relation.ispartof | Applied Mathematics and Computation | - |
| dc.subject | Weighted Tikhonov regularization | - |
| dc.subject | Filter matrices | - |
| dc.subject | Rank deficient | - |
| dc.subject | Weighted pseudoinverse | - |
| dc.title | Weighted Tikhonov filter matrices for ill-posed problems | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/S0096-3003(03)00149-8 | - |
| dc.identifier.scopus | eid_2-s2.0-0348170680 | - |
| dc.identifier.volume | 149 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | 411 | - |
| dc.identifier.epage | 422 | - |
| dc.identifier.isi | WOS:000188651000010 | - |
| dc.identifier.issnl | 0096-3003 | - |