36 citations · 80 across the 24 of their papers we have counts for
27 papers
Effective bounds for polynomial systems defined over the rationals
Teresa Krick
This survey paper was primarily written as as the support for a course pesented at the JNCF2025: it aims to present some material that illustrates the kind of estimates one can obt…
A note on the multivariate symmetric Hermite Interpolant
Teresa Krick, Agnes Szanto
In this note we explicit the notion of Hermite interpolant of a multivariate symmetric polynomial, generalizing the notion of Lagrange interpolant to the case when there are roots…
An Effective Positivstellensatz over the Rational Numbers for Finite Semialgebraic Sets
Lorenzo Baldi, Teresa Krick, Bernard Mourrain
We study the problem of representing multivariate polynomials with rational coefficients, which are nonnegative and strictly positive on finite semialgebraic sets, using rational s…
Univariate Rational Sums of Squares
Teresa Krick, Bernard Mourrain, Agnes Szanto
Given rational univariate polynomials f and g such that gcd(f, g) and f / gcd(f, g) are relatively prime, we show that g is non-negative on all the real roots of f if and only if g…
On local analysis
Felipe Cucker, Teresa Krick
We extend to Gaussian distributions a result providing smoothed analysis estimates for condition numbers given as relativized distances to illposedness. We also introduce a notion…
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 $(…