Boulos El Hilany

collaborators

2 papers

math.OC2024

Bounds on the infimum of polynomials over a generic semi-algebraic set using asymptotic critical values

Boulos El Hilany, Elias Tsigaridas

We present precise bit and degree estimates for the optimal value of the polynomial optimization problem $f^{*} := inf_{x \in X} f (x)$ , where $X$ is a semi-al…

math.AG2024

The polyhedral type of a polynomial map on the plane

Boulos El Hilany, Kemal Rose

Two continuous maps $f, g : C^{2} \to C^{2}$ are said to be topologically equivalent if there exist homeomorphisms $φ, ψ : C^{2} \to C^{2}$ satisfying $ψ\circ…