Sylvester double sums, subresultants and symmetric multivariate Hermite interpolation

DOI10.1016/j.jsc.2019.02.013zbMath1441.13071arXiv1805.10609OpenAlexW2803949631WikidataQ128312021 ScholiaQ128312021MaRDI QIDQ2000292

Aviva Szpirglas, Marie-Françoise Roy

Publication date: 28 June 2019

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

Full work available at URL: https://arxiv.org/abs/1805.10609

zbMATH Keywords

subresultantsmultivariate Hermite interpolationgeneralized Vandermonde determinantsSylvester double sums

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Classical problems, Schubert calculus (14N15) Solving polynomial systems; resultants (13P15) Computational real algebraic geometry (14Q30)

Cites Work

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• Sylvester double sums and subresultants
• Inertia characteristics of self-adjoint matrix polynomials
• Double Sylvester sums for subresultants and multi-Schur functions.
• Interpolation for symmetric functions
• An elementary proof of Sylvester's double sums for subresultants
• Symmetric interpolation, Exchange Lemma and Sylvester sums
• Algorithms in real algebraic geometry

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