Camille Pouchol

collaborators

4 papers

math.CA2026

Lebesgue constants of Leja sequences: a universal lower bound and improved upper bounds on the real line

Camille Pouchol

We prove a general lower bound for the Lebesgue constants $Λ_{n}$ of Leja sequences for every nonpolar compact set $K\subset\mathbb C$: $\textstyle \limsup_{n \to+\infty} Λ_n \, \s…

math.OC2026

Generalisation of Farkas' lemma beyond closedness: a constructive approach via Fenchel-Rockafellar duality

Camille Pouchol, Emmanuel Trélat, Christophe Zhang

Farkas' lemma is an ubiquitous tool in optimisation, as it provides necessary and sufficient conditions to have $b \in A (P)$ , where $P$ is a closed convex cone, $A$ is a (continuou…

math.NA2024

Regularisation for the approximation of functions by mollified discretisation methods

Camille Pouchol, Marc Hoffmann

Some prominent discretisation methods such as finite elements provide a way to approximate a function of $d$ variables from $n$ values it takes on the nodes $x_{i}$ of the correspond…

math.CA2024

Random Leja points

Camille Pouchol

Leja points on a compact $K \subset C$ are known to provide efficient points for interpolation, but their actual implementation can be computationally challenging. So-call…