A computational study of ruled surfaces (2009)
Busé, Laurent, Elkadi, Mohamed, Galligo, André
We study rational ruled surfaces and $\mu$-bases which were recently considered in a series of articles by Chen and coworkers. We give short and conceptual proofs with geometric insights and...
A computational study of ruled surfaces (2009)
Busé, Laurent, Elkadi, Mohamed, Galligo, André
We study rational ruled surfaces and $\mu$-bases which were recently considered in a series of articles by Chen and coworkers. We give short and conceptual proofs with geometric insights and...
Publ. RIMS, Kyoto Univ. 43 (2007), 55–73 Residue Calculus and Applications By (2008)
We present a new algorithm in order to compute the multidimensional residue of a polynomial map based on a perturbation argument and the Generalized Transformation Law. Then we use it for studying...
µ-Bases of Algebraic Curves and Surfaces (2008)
Marc Dohm, Mohamed Elkadi, André Galligo
Tout d’abord, j’aimerais exprimer ma reconnaissance pour l’accueil chaleureux à Nice, dont j’ai pu profiter dès mon arrivée en septembre. La gentillesse et l’ouverture d’esprit des...
Intersection and self-intersection of surfaces by means of Bezoutian matrices (2008)
Busé, Laurent, Elkadi, Mohamed, Galligo, André
The computation of intersection and self-intersection loci of parameterized surfaces is an important task in Computer Aided Geometric Design. Computer algebra tools need to be developed further for...
Intersection and self-intersection of surfaces by means of Bezoutian matrices (2008)
Busé, Laurent, Elkadi, Mohamed, Galligo, André
The computation of intersection and self-intersection loci of parameterized surfaces is an important task in Computer Aided Geometric Design. Computer algebra tools need to be developed further for...
Generalized resultants over unirational algebraic (2007)
Laurent Bus, Mohamed Elkadi, Bernard Mourrain
varieties
Intersection and self-intersection of surfaces by means of Bezoutian matrices (2006)
Busé, Laurent, Elkadi, Mohamed, Galligo, André
The computation of intersection and self-intersection loci of parameterized surfaces is an important task in Computer Aided Geometric Design. Computer algebra tools need to be developed further for...
Intersection and self-intersection of surfaces by means of Bezoutian matrices (2006)
Busé, Laurent, Elkadi, Mohamed, Galligo, André
The computation of intersection and self-intersection loci of parameterized surfaces is an important task in Computer Aided Geometric Design. Computer algebra tools need to be developed further for...
Intersection and self-intersection of surfaces by means of Bezoutian matrices (2006)
Busé, Laurent, Elkadi, Mohamed, Galligo, André
The computation of intersection and self-intersection loci of parameterized surfaces is an important task in Computer Aided Geometric Design. Computer algebra tools need to be developed further for...
Using projection operators in computer aided geometric design (2003)
Busé, Laurent, Elkadi, Mohamed, Mourrain, Bernard
We give an overview of resultant theory and some of its applications in computer aided geometric design. First, we mention different formulations of resultants, including the projective resultant,...
Using projection operators in computer aided geometric design (2003)
Busé, Laurent, Elkadi, Mohamed, Mourrain, Bernard
We give an overview of resultant theory and some of its applications in computer aided geometric design. First, we mention different formulations of resultants, including the projective resultant,...
Using projection operators in computer aided geometric design (2003)
Busé, Laurent, Elkadi, Mohamed, Mourrain, Bernard
We give an overview of resultant theory and some of its applications in computer aided geometric design. First, we mention different formulations of resultants, including the projective resultant,...
Using projection operators in Computer Aided Geometric Design (2003)
Laurent Buse, Mohamed Elkadi, Bernard Mourrain
We give an overview of resultant theory and some of its applications in computer aided geometric design. First, we mention di#erent formulations of resultants, including the projective resultant, the...
Resultant over the residual of a complete intersection (2001)
Busé, Laurent, Elkadi, Mohamed, Mourrain, Bernard
In this article, we study the residual resultant which is the necessary and sufficient condition for a polynomial system F to have a solution in the residual of a variety, defined here by a complete...
Resultant over the residual of a complete intersection (2001)
Busé, Laurent, Elkadi, Mohamed, Mourrain, Bernard
In this article, we study the residual resultant which is the necessary and sufficient condition for a polynomial system F to have a solution in the residual of a variety, defined here by a complete...
Resultant over the residual of a complete intersection (2001)
Busé, Laurent, Elkadi, Mohamed, Mourrain, Bernard
In this article, we study the residual resultant which is the necessary and sufficient condition for a polynomial system F to have a solution in the residual of a variety, defined here by a complete...
Generalized Resultants Over Unirational Algebraic Varieties (2001)
Laurent Buse, Mohamed Elkadi, Bernard Mourrain
this paper, we propose a new method, based on Bezoutian matrices, for computing a nontrivial multiple of the resultant over a projective variety X, which is described on an open subset by a...
Generalized resultants over unirational algebraic varieties (2000)
Busé, Laurent, Elkadi, Mohamed, Mourrain, Bernard
In this paper, we propose a new method, based on Bezoutian matrices, for computing a nontrivial multiple of the resultant over a projective variety X, which is described on an open subset by a...
Generalized resultants over unirational algebraic varieties (2000)
Busé, Laurent, Elkadi, Mohamed, Mourrain, Bernard
In this paper, we propose a new method, based on Bezoutian matrices, for computing a nontrivial multiple of the resultant over a projective variety X, which is described on an open subset by a...
Generalized resultants over unirational algebraic varieties (2000)
Busé, Laurent, Elkadi, Mohamed, Mourrain, Bernard
In this paper, we propose a new method, based on Bezoutian matrices, for computing a nontrivial multiple of the resultant over a projective variety X, which is described on an open subset by a...
A New Algorithm for the Geometric Decomposition of a Variety (1999)
Mohamed Elkadi, Bernard Mourrain
In this article, we present a new method for computing the decomposition of a variety into irreducible components. It is based on a property of Bezoutian matrices, which allows us to compute a...
Some Applications of Bezoutians in Effective Algebraic Geometry (1998)
Elkadi, Mohamed, Mourrain, Bernard
In this report, we investigate some problems of effectivity, related to algebraic residue theory. We show how matrix techniques based on Bezoutian formulations, enable us to derive new algorithms for...
Some Applications of Bezoutians in Effective Algebraic Geometry (1998)
Elkadi, Mohamed, Mourrain, Bernard
In this report, we investigate some problems of effectivity, related to algebraic residue theory. We show how matrix techniques based on Bezoutian formulations, enable us to derive new algorithms for...
Some Applications of Bezoutians in Effective Algebraic Geometry (1998)
Elkadi, Mohamed, Mourrain, Bernard
In this report, we investigate some problems of effectivity, related to algebraic residue theory. We show how matrix techniques based on Bezoutian formulations, enable us to derive new algorithms for...
Some applications of bezoutians in eoeective algebraic geometry. Rapport de Recherche 3572 (1998)
Unit Inria, Sophia Antipolis, Mohamed Elkadi, Mohamed Elkadi, Bernard Mourrain, Bernard Mourrain
apport de recherche
Some applications of Bezoutians in Effective Algebraic Geometry (1998)
Bernard Mourrain, Mohamed Elkadi, Mohamed Elkadi, Bernard Mourrain Y, Thème Génie Logiciel, Projet Saga, ...
In this report, we investigate some problems of effectivity, related to algebraic residue theory. We show how matrix techniques based on Bezoutian formulations, enable us to derive new algorithms for...
Approche effective des résidus algébriques (1996)
Elkadi, Mohamed, Mourrain, Bernard
Dans ce rapport, nous nous intéressons aux propriétés du dual des polynômes et leurs connections avec la théorie algébrique des résidus. En particulier, nous voulons éclaircir le rôle que...
Approche effective des résidus algébriques (1996)
Elkadi, Mohamed, Mourrain, Bernard
Dans ce rapport, nous nous intéressons aux propriétés du dual des polynômes et leurs connections avec la théorie algébrique des résidus. En particulier, nous voulons éclaircir le rôle que...
Approche effective des résidus algébriques (1996)
Elkadi, Mohamed, Mourrain, Bernard
Dans ce rapport, nous nous intéressons aux propriétés du dual des polynômes et leurs connections avec la théorie algébrique des résidus. En particulier, nous voulons éclaircir le rôle que...