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Résultant déterminantiel et applications
In the first part, we define algebraically the determinantal resultant of a morphism of fi nite free modules f which input matrix of polynomials homogeneous f_i,j.... -
Fast Computation of Special Resultants
We propose fast algorithms for computing composed products and composed sums, as well as diamond products of univariate polynomials. These operations correspond to... -
Implicitisation de surfaces algébriques
Le but de ce rapport est de présenter différentes méthodes permettant l'implicitisation d'une surface paramétrée, les forces et les faiblesses de chacune d'elles, et... -
Fast Computation with Two Algebraic Numbers
We propose fast algorithms for computing composed multiplications and composed sums, as well as «diamond products» of univariate polynomials. -
A framework for Symbolic and Numeric Computations
The need to combine symbolic and numeric computations is ubiquitous is many problems such as the forward and inverse kinematics of robots, motion planning, the... -
Algebraic Methods and Arithmetic Filtering for Exact Predicates on Circle Arcs
The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on... -
Some Applications of Bezoutians in Effective Algebraic Geometry
In this report, we investigate some problems of effectivity, related to algebraic residue theory. We show how matrix techniques based on Bezoutian formulations, enable... -
Generalized normal forms and polynomial system solving
International audience -
Computing the topology of three-dimensional algebraic curves
In this report, we present a new method for computing the topology of curves defined as the intersection of two implicit surfaces. The main ingredients are projection... -
An Introduction to TRAGHEITSFORMEN.
49 pages -
Study of the resultant on an algebraic variety
In this thesis a theoric and practical study of residual resultant is proposed. This residual resultant provides a necessary and sufficient condition so that an...
