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Operator theory and the singular value decomposition

Schnappschüsse moderner Mathematik aus Oberwolfach

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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Mathematisches Fachgebiet

Analysis

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Informatik
Physik

Autor(en)

Gregory Knese

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2014-009-EN

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snapshot-2014-009.pdf

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