6 citations · 6 across the 2 of their papers we have counts for
2 papers
math.AG2021
Certified Hermite Matrices from Approximate Roots
Tulay Ayyildiz Akoglu, Agnes Szanto
Let I=<f_1, ..., f_m> be a zero dimensional radical ideal Q[x_1,...,x_n]. Assume that we are given approximations {z_1,...,z_k} in C^n for the common roots V(I)={xi_1,...,xi_k}. In…
cs.SC2014★ 6 cited
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…