1 citations · 1 across the 2 of their papers we have counts for
5 papers
Sylvester's double sums: an inductive proof of the general case
Teresa Krick, Agnes Szanto
In 1853 J. Sylvester introduced a family of double sum expressions for two finite sets of indeterminates and showed that some members of the family are essentially the polynomial s…
Moment matrices, trace matrices and the radical of ideals
Itnuit Janovitz-Freireich, Agnes Szanto, Bernard Mourrain +1
Let be a system of polynomials generating a zero-dimensional ideal $\I$, where is an arbitrary algebraically closed field. As…
Sylvester's Double Sums: the general case
Carlos D'Andrea, Hoon Hong, Teresa Krick +1
In 1853 Sylvester introduced a family of double sum expressions for two finite sets of indeterminates and showed that some members of the family are essentially the polynomial subr…
An Elementary Proof of Sylvester's Double Sums for Subresultants
Carlos D'Andrea, Hoon Hong, Teresa Krick +1
In 1853 Sylvester stated and proved an elegant formula that expresses the polynomial subresultants in terms of the roots of the input polynomials. Sylvester's formula was also rece…
Multivariate Subresultants in Roots
Carlos D'Andrea, Teresa Krick, Agnes Szanto
We give rational expressions for the subresultants of n+1 generic polynomials f_1,..., f_{n+1} in n variables as a function of the coordinates of the common roots of f_1,..., f_n a…