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Sylvester double sums and subresultants

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Publication:629347
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DOI10.1016/j.jsc.2010.10.012zbMath1213.12003OpenAlexW1972580810MaRDI QIDQ629347

Aviva Szpirglas, Marie-Françoise Roy

Publication date: 9 March 2011

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2010.10.012


zbMATH Keywords

resultantssubresultantsSylvester sumsSylvester matrices


Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05)


Related Items (7)

Subresultants in multiple roots: an extremal case ⋮ Subresultants in multiple roots ⋮ Sylvester's double sums: an inductive proof of the general case ⋮ Subresultants, Sylvester sums and the rational interpolation problem ⋮ Closed formula for univariate subresultants in multiple roots ⋮ Sylvester double sums, subresultants and symmetric multivariate Hermite interpolation ⋮ Symmetric interpolation, Exchange Lemma and Sylvester sums



Cites Work

  • An elementary proof of Sylvester's double sums for subresultants
  • Algorithms in real algebraic geometry


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