A factorization theorem for matrices

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dc.contributor.authorSourour, A.R.
dc.date.accessioned2009-08-25T18:58:00Z
dc.date.available2009-08-25T18:58:00Z
dc.date.copyright1985en
dc.date.issued2009-08-25T18:58:00Z
dc.description.abstractIt is shown that a nonscalar invertible square matrix can be written as a product of two square matrices with prescribed eigenvalues subject only to the obvious determinant condition. As corollaries, we give short proofs of some known results such as Ballantine's characterization of products of four or five positive definite matrices, the commutator theorem of Shoda-Thompson for fields with sufficiently many elements and other results.en
dc.description.sponsorshipNSERG Grant A3674en
dc.identifier.urihttp://hdl.handle.net/1828/1594
dc.language.isoenen
dc.relation.ispartofseriesDM-368-IRen
dc.titleA factorization theorem for matricesen
dc.typeTechnical Reporten

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