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

A tutorial on the singular value decomposition

Tekil değer ayrıştırmaya genel bakış

ABDURRAHMAN KARAMANCIOĞLU
Can ÖZDEMİR
Sayfa
1–12
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the last section we treat a special problem where action of the matrix A is restricted to a given subspace.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:This factorization is c&lled Singular Value Decomposition (SVDJ.
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Sonuç & Katkı:In the last section we treat a special problem where action of the matrix A is restricted to a given subspace.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

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.

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Bu Makaleye Atıf Yap

KARAMANCIOĞLU, A., ÖZDEMİR, C. (1996). A tutorial on the singular value decomposition. Eskişehir Osmangazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, Cilt: 9 - Sayı: 1, 1–12. https://ajindex.com/articles/287597

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Kaynakça (2)

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