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Dergiler / Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi / 1996 / Cilt: 9 Sayı: 1

A Tutorial On The Singular Value Decomposition

Abdurrahman KARAMANCIOĞLU
Can ÖZDEMİR
Sayfa
1–12
Yayın Tarihi
1996-06-30
DOI
—
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An m y, n real matm A can be factored as ITWV , where V and V are

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Amaç & Hipotez:An m y, n real matm A can be factored as ITWV , where V and V are
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Temel Bulgular & Veri:An m y, n real matm A can be factored as ITWV , where V and V are
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Sonuç & Katkı:An m y, n real matm A can be factored as ITWV , where V and V are
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Singular values · matrix decomposition · matrix

Özet

An m y, n real matm A can be factored as ITWV , where V and V are

Abstract

An m y, n real matm A can be factored as ITWV , where V and V areorthonormal, and W is upper left diagonal. Thîs factorization is called Singular VaîueDecomposilion (SVD). The matrlces U, W, and V are usefül in characterizing ıhe malrix A. inthis manuscript geometric characterizations are emphasized. Geometric characîerizations areanaîyzed in terms ofsubspaces, matrix scaling, cmd norms. We also presenî a numerical viewpointfor SVD m orcfer to keep the maîerial setf-contained. in the last section we îreat a special problemwhere action ofîhe matrix A is restncted to a gıven subspace.

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Bu Makaleye Atıf Yap

KARAMANCIOĞLU, A., ÖZDEMİR, C. (1996). A Tutorial On The Singular Value Decomposition. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi, Cilt: 9 Sayı: 1, 1–12. https://ajindex.com/articles/905278

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Kaynakça (10)

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