Cours sur les systèmes d'équation polunomiales

´ ´Ecole d’Et´e CIMPASyst`emes d’´equations polynomiales : de la g´eom´etrie alg´ebrique aux applications industrielles.Pr`es de Buenos Aires, Argentine.CoursTableaux r´ecapitulatifsPremi`ere semaine : 3 cours de base, de 10 heures chacunDavid A. Cox Eigenvalueandeigenvectormethodsforsolvingpolynomial(Amherst College) equationsAlicia Dickenstein Introduction to residues and resultants(Univ. de Buenos Aires)LorenzoRobbiano(Univ. Polynomial systems and some applications to statisticsGenova)Deuxi`eme semaine : 6 s´eminaires avanc´es de 4 heures chacunIoannis Emiris Toric resultants and applications to geometric modeling(INRIA Sophia-Antipolis)Andr´e Galligo Absolute multivariate polynomial factorization and alge-(Univ. de Nice) braic variety decompositionBernard Mourrain Symbolic Numeric tools for solving polynomial equations(INRIA Sophia- and applicationsAntipolis)Juan Sabia Efficient polynomial equation solving: algorithms and com-(Univ. de Buenos Aires) plexityMichael Stillman Computational algebraic geometry and the Macaulay2 sys-(Cornell U.) temJan Verschelde Numerical algebraic geometry(U. Illinois at Chicago)R´esum´es disponiblesDavid A. Cox,Eigenvalue and eigenvector methods for solving polynomial equa-tions.Bibliography:W.AuzingerandH.J.Stetter,AnEliminationAlgorithmfortheComputationofallZerosofaSystemofMultivariate Polynomial Equations, In Proc. Intern. Conf. on Numerical Math., Intern. Series of NumericalMath., vol. 86, pp. 12–30, ...