Modifiable low-rank approximation to a matrix
| dc.contributor.author | Barlow, Jesse L. | |
| dc.contributor.author | Erbay, Hasan | |
| dc.date.accessioned | 2020-06-25T17:48:14Z | |
| dc.date.available | 2020-06-25T17:48:14Z | |
| dc.date.issued | 2009 | |
| dc.department | Kırıkkale Üniversitesi | |
| dc.description | Erbay, Hasan/0000-0002-7555-541X | |
| dc.description.abstract | A truncated ULV decomposition (TULVD) of an m x n matrix X of rank k is a decomposition of the form X=ULVT + E, where U and V are left orthogonal matrices, L is a k x k non-singular lower triangular matrix and E is an error matrix. Only U,V, L and parallel to E parallel to(F) are stored, but E is not stored. We propose algorithms for updating and downdating the TULVD. To construct these modification algorithms, we also use a refinement algorithm based upon that in (SIAM J. Matrix Anal. Appl. 2005; 27(1):198-211) that reduces parallel to E parallel to(F), detects rank degeneracy, corrects it, and sharpens the approximation. Copyright (C) 2009 John Wiley & Sons, Ltd. | en_US |
| dc.identifier.citation | closedAccess | en_US |
| dc.identifier.doi | 10.1002/nla.651 | |
| dc.identifier.endpage | 860 | en_US |
| dc.identifier.issn | 1070-5325 | |
| dc.identifier.issn | 1099-1506 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopus | 2-s2.0-70349601759 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 833 | en_US |
| dc.identifier.uri | https://doi.org/10.1002/nla.651 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/4371 | |
| dc.identifier.volume | 16 | en_US |
| dc.identifier.wos | WOS:000270771900004 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Numerical Linear Algebra With Applications | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | orthogonal decomposition | en_US |
| dc.subject | rank estimation | en_US |
| dc.subject | subspace estimation | en_US |
| dc.title | Modifiable low-rank approximation to a matrix | en_US |
| dc.type | Article |
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