A. Ferguson

most citedOn the degree of varieties of sum of squares

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2022★ 1 cited

On the degree of varieties of sum of squares

Andrew Ferguson, Giorgio Ottaviani, Mohab Safey El Din +1

We study the problem of how many different sums of squares decompositions a general polynomial $f$ with SOS-rank $k$ admits. We show that there is a link between the variety $\math…

math.AC2022

Gröbner bases and critical values: The asymptotic combinatorics of determinantal systems

Alin Bostan, Jérémy Berthomieu, Andrew Ferguson +1

We consider ideals involving the maximal minors of a polynomial matrix. For example, those arising in the computation of the critical values of a polynomial restricted to a variety…

cs.SC2021

On the computation of asymptotic critical values of polynomial maps and applications

Jérémy Berthomieu, Andrew Ferguson, Mohab Safey El Din

Let $f = (f_{1}, \dots, f_{p})$ be a polynomial tuple in $Q [z_{1}, \dots, z_{n}]$ and let $d = max_{1 \leq i \leq p} ° f_{i}$ . We consider the problem of comput…