4 papers
Cyclotomic polynomials without using the zeros of
Gema M. Diaz-Toca, Henri Lombardi, Claude Quitté
This note aims to construct an ``intrinsic'' splitting field for the polynomial over the rational field , in a way that Gauss, Kummer, Kronecker and Bishop would hav…
Relative position of a parabola or a hyperbola and an ellipse without computing intersection points
Jorge Caravantes, Gema M. Diaz-Toca, Mario Fioravanti +1
Efficient methods to determine the relative position of two conics are of great interest for applications in robotics, computer animation, CAGD, computational physics, and other ar…
Tools for analyzing the intersection curve between a torus and a quadric through projection and lifting
Laureano Gonzalez-Vega, Jorge Caravantes, Gema M. Diaz-Toca +1
This article introduces efficient and user-friendly tools for analyzing the intersection curve between a ringed torus and an irreducible quadric surface. Without loose of generalit…
The Berlekamp-Massey Algorithm revisited
Nadia Ben Atti, Gema M. Diaz--Toca, Henri Lombardi
We propose a slight modification of the Berlekamp-Massey Algorithm for obtaining the minimal polynomial of a given linearly recurrent sequence. Such a modification enables to expla…