François Vigneron

collaborators

2 papers

math.DS2025

Factorization of the quadratic Misiurewicz-Thurston polynomials

Nicolae Mihalache, Francois Vigneron

This note provides the complete factorization of the Misiurewicz-Thurston polynomial $q_{ℓ, n} = p_{ℓ + n} (z) - p_{ℓ} (z)$ over $C$ , which plays a central role in the stu…

math.NA2022

Fast Evaluation of Real and Complex Polynomials

Ramona Anton, Nicolae Mihalache, François Vigneron

We propose an algorithm for quickly evaluating polynomials. It pre-conditions a complex polynomial $P$ of degree $d$ in time $O (d lo g d)$ , with a low multiplicative constant indepe…