A tutorial on the singular value decomposition
An m x n real matrix A can be factored as; $UWV^T$ y where U and V are orthonormal, and W is upper left diagonal. This factorization is c&lled Singular Value Decomposition (SVDJ. The matrices U, W, and V are useful in characterizing the matrix A. In this manuscript geometric characterizations ar...
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| Veröffentlicht in: | Anadolu Üniversitesi, Mühendislik-Mimarlık Fakültesi dergisi = Journal of Engineering and Architectural Faculty of Anadolu University Mühendislik-Mimarlık Fakültesi dergisi = Journal of Engineering and Architectural Faculty of Anadolu University, 1996, Vol.9 (1), p.1-12 |
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| container_title | Anadolu Üniversitesi, Mühendislik-Mimarlık Fakültesi dergisi = Journal of Engineering and Architectural Faculty of Anadolu University |
| container_volume | 9 |
| creator | KARAMANCIOĞLU, Abdurrahman ÖZDEMİR, Can |
| description | An m x n real matrix A can be factored as; $UWV^T$ y where U and V are
orthonormal, and W is upper left diagonal. This factorization is c&lled Singular Value Decomposition (SVDJ. The matrices U, W, and V are useful in characterizing the matrix A. In this manuscript geometric characterizations are emphasized. Geometric characterizations are analyzed in terms of subspaces, matrix scaling, and norms. We also present a numerical viewpoint for SVD in order to keep the material self-contained. In the last section we treat a special problem
where action of the matrix A is restricted to a given subspace. |
| format | Article |
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where action of the matrix A is restricted to a given subspace.</description><subject>Alt uzay</subject><subject>amplification</subject><subject>amplifikasyon</subject><subject>Bozunma</subject><subject>decomposition</subject><subject>Matematik</subject><subject>Mathematics</subject><subject>Matris[matematik]</subject><subject>matrix[mathematics]</subject><subject>singular value decomposition</subject><subject>Subspace</subject><subject>Tekil değer ayrışımı</subject><issn>1301-045X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNpjYeA0NDYw1DUwMY3gYOAtLs4yMDAwMjIxtbQw5WTQc1QoKS3JL8pMzFHIz1MoyUhVKM7MSy_NSSxSKEvMKU1VSElNzs8tyC_OLMnMz-NhYE1LzClO5YXS3Awybq4hzh66QA3ZSZm58QVFmbmJRZXxZiam5ibGBKQBY9Qunw</recordid><startdate>1996</startdate><enddate>1996</enddate><creator>KARAMANCIOĞLU, Abdurrahman</creator><creator>ÖZDEMİR, Can</creator><general>Osmangazi Üniversitesi</general><scope/></search><sort><creationdate>1996</creationdate><title>A tutorial on the singular value decomposition</title><author>KARAMANCIOĞLU, Abdurrahman ; ÖZDEMİR, Can</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-ulakbim_primary_645743</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Alt uzay</topic><topic>amplification</topic><topic>amplifikasyon</topic><topic>Bozunma</topic><topic>decomposition</topic><topic>Matematik</topic><topic>Mathematics</topic><topic>Matris[matematik]</topic><topic>matrix[mathematics]</topic><topic>singular value decomposition</topic><topic>Subspace</topic><topic>Tekil değer ayrışımı</topic><toplevel>online_resources</toplevel><creatorcontrib>KARAMANCIOĞLU, Abdurrahman</creatorcontrib><creatorcontrib>ÖZDEMİR, Can</creatorcontrib><jtitle>Anadolu Üniversitesi, Mühendislik-Mimarlık Fakültesi dergisi = Journal of Engineering and Architectural Faculty of Anadolu University</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>KARAMANCIOĞLU, Abdurrahman</au><au>ÖZDEMİR, Can</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A tutorial on the singular value decomposition</atitle><jtitle>Anadolu Üniversitesi, Mühendislik-Mimarlık Fakültesi dergisi = Journal of Engineering and Architectural Faculty of Anadolu University</jtitle><date>1996</date><risdate>1996</risdate><volume>9</volume><issue>1</issue><spage>1</spage><epage>12</epage><pages>1-12</pages><issn>1301-045X</issn><abstract>An m x n real matrix A can be factored as; $UWV^T$ y where U and V are
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| fulltext | fulltext |
| identifier | ISSN: 1301-045X |
| ispartof | Anadolu Üniversitesi, Mühendislik-Mimarlık Fakültesi dergisi = Journal of Engineering and Architectural Faculty of Anadolu University, 1996, Vol.9 (1), p.1-12 |
| issn | 1301-045X |
| language | eng |
| recordid | cdi_ulakbim_primary_64574 |
| source | DOAJ Directory of Open Access Journals |
| subjects | Alt uzay amplification amplifikasyon Bozunma decomposition Matematik Mathematics Matris[matematik] matrix[mathematics] singular value decomposition Subspace Tekil değer ayrışımı |
| title | A tutorial on the singular value decomposition |
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