Sylvester double sums, subresultants and symmetric multivariate Hermite interpolation

Sylvester doubles sums, introduced first by Sylvester (see Sylvester, 1840, 1853), are symmetric expressions of the roots of two polynomials P and Q. Sylvester's definition of double sums makes no sense if P and Q have multiple roots, since the definition involves denominators that vanish when...

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Veröffentlicht in:	Journal of symbolic computation 2020-01, Vol.96, p.85-107
Hauptverfasser:	Roy, Marie-Françoise, Szpirglas, Aviva
Format:	Artikel
Sprache:	eng
Schlagworte:	Commutative Algebra Generalized Vandermonde determinants Mathematics Multivariate Hermite interpolation Subresultants Sylvester double sums
Online-Zugang:	Volltext
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