33 citations · 81 across the 24 of their papers we have counts for
6 papers · 1 filter
Smooth Points on Semi-algebraic Sets
Katherine Harris, Jonathan D. Hauenstein, Agnes Szanto
Many algorithms for determining properties of real algebraic or semi-algebraic sets rely upon the ability to compute smooth points. Existing methods to compute smooth points on sem…
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 $(…
Certifying solutions to overdetermined and singular polynomial systems over Q
Tulay Ayyildiz Akoglu, Jonathan D. Hauenstein, Agnes Szanto
This paper is concerned with certifying that a given point is near an exact root of an overdetermined or singular polynomial system with rational coefficients. The difficulty lies…
Over-constrained Weierstrass iteration and the nearest consistent system
Olivier Ruatta, Mark Sciabica, Agnes Szanto
We propose a generalization of the Weierstrass iteration for over-constrained systems of equations and we prove that the proposed method is the Gauss-Newton iteration to find the n…
On the Computation of Matrices of Traces and Radicals of Ideals
Itnuit Janovitz-Freireich, Bernard Mourrain, Lajos Ronayi +1
Let be a system of polynomials generating a zero-dimensional ideal $\I$, where is an arbitrary algebraically closed field. We…
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…