Operator theory and the singular value decomposition

Oberwolfach'tan

Operator theory and the singular value decomposition

This is a snapshot about operator theory and one of its fundamental tools: the singular value decomposition (SVD). The SVD breaks up linear transformations into simpler mappings, thus unveiling their  geometric properties. This tool has become important in many areas of applied mathematics for its ability to organize information. We discuss the SVD in the concrete situation of linear transformations of the plane (such as rotations, reflections, etc.).

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Matematiksel konular

Analiz

Diğer alanlarla ilişkiler

Bilgisayar Bilimeri
Fizik

Yazar(lar)

Gregory Knese

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2014-009-EN

PDF indir

snapshot-2014-009.pdf

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Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
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