Author： Horn Roger A.
Publisher： Taylor & Francis Ltd
ISSN： 0308-1087
Source： Linear and Multilinear Algebra, Vol.60, Iss.11-12, 2012-11, pp. : 1239-1244
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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.
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