3 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 over , which plays a central role in the stu…
math.CA2023
A short ODE proof of the Fundamental Theorem of Algebra
Ramona Anton, Nicolae Mihalache, François Vigneron
We propose a short proof of the Fundamental Theorem of Algebra based on the ODE that describes the Newton flow and the fact that the value is a Lyapunov function. It clari…
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 of degree in time , with a low multiplicative constant indepe…