An Elementary Proof of Sylvester's Double Sums for Subresultants

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dc.creatorD'Andrea, Carlos
dc.creatorHong, Hoon
dc.creatorKrick, Teresa
dc.creatorSzanto, Agnes
dc.date2006-04-19
dc.date2006-09-14
dc.date.accessioned2026-07-07T07:11:04Z
dc.date.available2026-07-07T07:11:04Z
dc.descriptionIn 1853 Sylvester stated and proved an elegant formula that expresses the polynomial subresultants in terms of the roots of the input polynomials. Sylvester's formula was also recently proved by Lascoux and Pragacz by using multi-Schur functions and divided differences. In this paper, we provide an elementary proof that uses only basic properties of matrix multiplication and Vandermonde determinants.
dc.description9 pages, no figures, simpler proof of the main results thanks to useful comments made by the referees. To appear in Journal of Symbolic Computation
dc.identifierhttps://arxiv.org/abs/math/0604418
dc.identifierhttp://arxiv.org/abs/math/0604418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111620
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject14Q10;68W30
dc.titleAn Elementary Proof of Sylvester's Double Sums for Subresultants
dc.typetext

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