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
Senior Editor:
Carla Cederbaum
Junior Editor:
Sophia Jahns

License

DOI (Digital Object Identifier)

10.14760/SNAP-2014-009-EN

Download PDF

PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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