Polynomial systems admitting a simultaneous solution - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

Polynomial systems admitting a simultaneous solution

Résumé

We provide a complete description of the ideal that serves as the resultant ideal for n univariate polynomials of degree d. We in particular describe a set of generators of this resultant ideal arising as maximal minors of a set of cascading matrices formed from the coefficients of the polynomials, generalising the classical Sylvester resultant of two polynomials.
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Dates et versions

hal-04292967 , version 1 (17-11-2023)

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Austin Conner, Mateusz Michalek, Michael Schindler, Balazs Szendroi. Polynomial systems admitting a simultaneous solution. 2023. ⟨hal-04292967⟩
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