12 citations · 31 across the 5 of their papers we have counts for
5 papers
Computing totally real hyperplane sections and linear series on algebraic curves
Huu Phuoc Le, Dimitri Manevich, Daniel Plaumann
Given a real algebraic curve, embedded in projective space, we study the computational problem of deciding whether there exists a hyperplane meeting the curve in real points only.…
Faster One Block Quantifier Elimination for Regular Polynomial Systems of Equations
Huu Phuoc Le, Mohab Safey El Din
Quantifier elimination over the reals is a central problem in computational real algebraic geometry, polynomial system solving and symbolic computation. Given a semi-algebraic form…
Solving parametric systems of polynomial equations over the reals through Hermite matrices
Huu Phuoc Le, Mohab Safey El Din
We design a new algorithm for solving parametric systems having finitely many complex solutions for generic values of the parameters. More precisely, let $f = (f_1, \ldots, f_m)\su…
Computing the Real Isolated Points of an Algebraic Hypersurface
Huu Phuoc Le, Mohab Safey El Din, Timo de Wolff
Let be the field of real numbers. We consider the problem of computing the real isolated points of a real algebraic set in given as the vanishing set of…
Fast Genetic Algorithms
Benjamin Doerr, Huu Phuoc Le, Régis Makhmara +1
For genetic algorithms using a bit-string representation of length~, the general recommendation is to take as mutation rate. In this work, we discuss whether this is reall…