Multivariate subresultants in roots

DOI10.1016/j.jalgebra.2005.08.016zbMath1106.15007arXivmath/0501281OpenAlexW1970997649MaRDI QIDQ852659

Carlos D'Andrea, Teresa Krick, Agnes Szanto

Publication date: 15 November 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501281

zbMATH Keywords

multivariate subresultantPoisson product formulaVandemonde determinants

Mathematics Subject Classification ID

Solving polynomial systems; resultants (13P15)

Related Items (4)

Corrigendum to: ``Multivariate subresultants in roots ⋮ Subresultants in multiple roots ⋮ An elementary proof of Sylvester's double sums for subresultants ⋮ Scalar \(q\)-subresultants and Dickson matrices

Uses Software

• MultRoot

Cites Work

• Le formalisme du résultant. (The formalism of resultant)
• Determinantal formulae for the solution set of zero-dimensional ideals
• Certified approximate univariate GCDs
• On the irreducibility of multivariate subresultants.
• Various new expressions for subresultants and their applications
• Multivariate subresultants
• The Habicht approach to subresultants
• Multivariate subresultants using Jouanolou matrices
• Subresultants and generic monomial bases
• Zur inhomogenen Eliminationstheorie
• Algorithme de Bareiss, algorithme des sous-résultants
• Spécialisation de la suite de Sturm et sous-résultants (I)
• The approximate GCD of inexact polynomials
• Subresultants and Reduced Polynomial Remainder Sequences
• On Euclid's Algorithm and the Theory of Subresultants
• Ore subresultant coefficients in solutions
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