AbstractSylvester has announced formulas expressing the subresultants (or the successive polynomial remainders for the Euclidean division) of two polynomials, in terms of some double sums over the roots of the two polynomials. We prove Sylvester formulas using the techniques of multivariate polynomials involving multi-Schur functions and divided differences
Given the polynomials f, g ∈ Z[x] the main result of our paper, Theorem 1, establishes a direct one...
In this paper we present two new methods for computing the subresultant polynomial remainder sequenc...
AbstractIn 1853 Sylvester introduced a family of double-sum expressions for two finite sets of indet...
We generalize Sylvester single sums to multisets and show that these sums compute subresultants of t...
AbstractSylvester has announced formulas expressing the subresultants (or the successive polynomial ...
AbstractIn 1853, Sylvester introduced a family of double sum expressions for two finite sets of inde...
In 1853, Sylvester introduced a family of double sum expressions for two finite sets of indeterminat...
J. J. Sylvester has announced formulas expressing the subresultants (or the successive polynomial re...
AbstractSylvester double sums, introduced first by Sylvester (see Sylvester (1840, 1853)), are symme...
We extend our previous work on Poisson-like formulas for subresultants in roots to the case of polyn...
AbstractSylvester double sums, introduced first by Sylvester (see Sylvester (1840, 1853)), are symme...
We present a solution for the classical univariate rational interpolation problem by means of (univa...
International audienceSylvester doubles sums, introduced first by Sylvester (see Sylvester (1840, 18...
International audienceSylvester doubles sums, introduced first by Sylvester (see Sylvester (1840, 18...
The theory of symmetric multivariate Lagrange interpolation is a beautiful but rather unknown tool t...
Given the polynomials f, g ∈ Z[x] the main result of our paper, Theorem 1, establishes a direct one...
In this paper we present two new methods for computing the subresultant polynomial remainder sequenc...
AbstractIn 1853 Sylvester introduced a family of double-sum expressions for two finite sets of indet...
We generalize Sylvester single sums to multisets and show that these sums compute subresultants of t...
AbstractSylvester has announced formulas expressing the subresultants (or the successive polynomial ...
AbstractIn 1853, Sylvester introduced a family of double sum expressions for two finite sets of inde...
In 1853, Sylvester introduced a family of double sum expressions for two finite sets of indeterminat...
J. J. Sylvester has announced formulas expressing the subresultants (or the successive polynomial re...
AbstractSylvester double sums, introduced first by Sylvester (see Sylvester (1840, 1853)), are symme...
We extend our previous work on Poisson-like formulas for subresultants in roots to the case of polyn...
AbstractSylvester double sums, introduced first by Sylvester (see Sylvester (1840, 1853)), are symme...
We present a solution for the classical univariate rational interpolation problem by means of (univa...
International audienceSylvester doubles sums, introduced first by Sylvester (see Sylvester (1840, 18...
International audienceSylvester doubles sums, introduced first by Sylvester (see Sylvester (1840, 18...
The theory of symmetric multivariate Lagrange interpolation is a beautiful but rather unknown tool t...
Given the polynomials f, g ∈ Z[x] the main result of our paper, Theorem 1, establishes a direct one...
In this paper we present two new methods for computing the subresultant polynomial remainder sequenc...
AbstractIn 1853 Sylvester introduced a family of double-sum expressions for two finite sets of indet...
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