M. Laurent

activity

20062023

most citedSemidefinite Characterization and Computation of Real Radical Ideals

114 citations · 264 across the 42 of their papers we have counts for

collaborators

Showing 2021 · math.OCShow all

4 papers · 2 filters

math.OC2021

Bounding the separable rank via polynomial optimization

Sander Gribling, Monique Laurent, Andries Steenkamp

We investigate questions related to the set $S E P_{d}$ consisting of the linear maps $ρ$ acting on $C^{d} \otimes C^{d}$ that can be written as a convex combina…

math.OC2021

Exactness of Parrilo's conic approximations for copositive matrices and associated low order bounds for the stability number of a graph

Monique Laurent, Luis Felipe Vargas

De Klerk and Pasechnik (2002) introduced the bounds $ϑ^{(r)} (G)$ ( $r \in N$ ) for the stability number $α (G)$ of a graph $G$ and conjectured exactness at order $α(G)…

math.OC2021★ 1 cited

An effective version of Schmüdgen's Positivstellensatz for the hypercube

Monique Laurent, Lucas Slot

Let $S \subseteq R^{n}$ be a compact semialgebraic set and let $f$ be a polynomial nonnegative on $S$ . Schmüdgen's Positivstellensatz then states that for any $η > 0$ , the no…

math.OC2021★ 9 cited

Finite convergence of sum-of-squares hierarchies for the stability number of a graph

Monique Laurent, Luis Felipe Vargas

We investigate a hierarchy of semidefinite bounds $ϑ^{(r)} (G)$ for the stability number $α (G)$ of a graph $G$ , based on its copositive programming formulation and introduce…