1 citations · 1 across the 3 of their papers we have counts for
5 papers
Strictly positive polynomials in the boundary of the SOS cone
Santiago Laplagne, Marcelo Valdettaro
We study the boundary of the cone of real polynomials that can be decomposed as a sum of squares (SOS) of real polynomials. This cone is included in the cone of nonnegative polynom…
Subresultants of and , Jacobi polynomials and complexity
A. Bostan, T. Krick, A. Szanto +1
In an earlier article together with Carlos D'Andrea [BDKSV2017], we described explicit expressions for the coefficients of the order- polynomial subresultant of and $(…
Closed formula for univariate subresultants in multiple roots
Carlos D'Andrea, Teresa Krick, Agnes Szanto +1
We generalize Sylvester single sums to multisets (sets with repeated elements), and show that these sums compute subresultants of two univariate polyomials as a function of their r…
Subresultants in multiple roots: an extremal case
Alin Bostan, Carlos D'Andrea, Teresa Krick +2
We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x-α)^m and (x-β)^n with respect to the set of Bernstein polynomials \{(x-α)^j(x-β)^{d-j…
Symmetric Interpolation, Exchange Lemma and Sylvester Sums
Teresa Krick, Agnes Szanto, Marcelo Valdettaro
The theory of symmetric multivariate Lagrange interpolation is a beautiful but rather unknown tool that has many applications. Here we derive from it an Exchange Lemma that allows…