Evènement pour le groupe Combinatoire Énumérative et Algébrique

Date 2012-01-27  10:45-11:45
TitreGraphical description of extremal polynomials 
RésuméProblems of conditional minimization of the uniform norm of polynomials or rational functions arise in different branches of science and technology. The solutions for those problems are very specific functions as they satisfy the so called equiripple property. This means that the vast majority of critical values (but not all of them!) lie in the set of (say) just two elements. An algebro-geometric Chebyshev construction describes such polynomials. As well they admit a representation in terms of certain weighted graphs. 
OrateurAndrey Bogatyrev 
UrlInstitut des méthodes numériques, Moscou, Russie 

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