Journal article
Making Matrices Better: Geometry and Topology of Singular Value and Polar Decomposition
Notices of the American Mathematical Society, v 64(8), pp 876-886
01 Sep 2017
Abstract
Our goal is to see the space of matrices of a given size from a geometric and topological perspective, with emphasis on the families of various ranks and how they fit together. We pay special attention to the nearest orthogonal neighbor and nearest singular neighbor of a given matrix, since both play central
roles in matrix decompositions, and then against this visual backdrop examine the polar and singular value decompositions and some of their applications.
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Details
- Title
- Making Matrices Better: Geometry and Topology of Singular Value and Polar Decomposition
- Creators
- Dennis DeTurck - University of PennsylvaniaAmora Elsaify - University of PennsylvaniaHerman Gluck - University of PennsylvaniaBenjamin Grossmann - Drexel University, MathematicsJoseph Ansel Hoisington - University of PennsylvaniaAnusha M. Krishnan - University of PennsylvaniaJianru Zhang - University of Pennsylvania
- Publication Details
- Notices of the American Mathematical Society, v 64(8), pp 876-886
- Publisher
- American Mathematical Society
- Number of pages
- 11
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Scopus ID
- 2-s2.0-85029578590
- Other Identifier
- 991019174907004721