Abstract
A complex symmetric matrix A can always be factored as A = UΣU T, in which U is complex unitary and Σ is a real diagonal matrix whose diagonal entries are the singular values of A. This factorization may be thought of as a special singular value decomposition for complex symmetric matrices. We present an analogous special singular value decomposition for a class of quaternion matrices that includes complex matrices that are symmetric or Hermitian. © 2012 Copyright Taylor and Francis Group, LLC.
| Original language | American English |
|---|---|
| Pages (from-to) | 1239-1244 |
| Number of pages | 6 |
| Journal | Linear and Multilinear Algebra |
| Volume | 60 |
| Issue number | 11-12 |
| DOIs | |
| State | Published - Nov 1 2012 |
ASJC Scopus Subject Areas
- Algebra and Number Theory
Keywords
- Autonne-Takagi factorization
- Canonical forms
- Complex symmetric matrix
- Quaternion matrix
- Singular value decomposition
- canonical forms
- complex symmetric matrix
- quaternion matrix
- singular value decomposition
Disciplines
- Mathematics
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