Showing papers by "Roger A. Horn published in 2012"
TL;DR: In this article, a special singular value decomposition for complex symmetric matrices was proposed for a class of quaternion matrices that includes symmetric or Hermitian matrices.
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.
40 citations
TL;DR: Gelfand and Ponomarev as mentioned in this paper proved that the problem of classifying pairs of commuting linear operators contains the same problem as classifying k -tuples of linear operators for any k.
10 citations
01 Oct 2012
1 citations
01 Jan 2012
1 citations
01 Jan 2012
1 citations