Operator theory and the singular value decomposition

Snapshots of modern mathematics from 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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Mathematical subjects

Analysis

Connections to other fields

Computer Science
Physics

Author(s)

Gregory Knese

License

DOI (Digital Object Identifier)

10.14760/SNAP-2014-009-EN

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snapshot-2014-009.pdf

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