Title: Approximations, et Convergences de Solutions en Optimisation: Analyse Convexe et Epi-convergence (Omn.Univ.Europ.) (French Edition)
Publisher: �ditions universitaires europ�ennes
Publication Date: 2013
Language: French
ISBN 10: 6131595801
ISBN 13: 9786131595806
Binding: Soft cover
Condition: New

About this title

Synopsis

Cet ouvrage aborde l'Optimisation continue � travers les notions de base de l'Analyse Convexe appliqu�e et introduit une approche permettant d'obtenir la convergence de solutions optimales d'une suite de fonctions-objectif vers une solution optimale d'un probl�me donn�; il s'agit de l'�pi-convergence encore appel�e Γ-convergence due � De Georgi. Cette notion est aussi int�ressante � cause du fait qu'en dimension finie, l'�pi-convergence de fonctions propres semi-continues inf�rieurement est �quivalente � la convergence graphique de leurs �pigraphes. L'�pi-convergence peut servir � minimiser certaines fonctions objectif ou d'�nergie �chappant � une �tude classique � cause d'un d�faut de coercivit�, de convexit� ou de r�gularit�. De plus ses applications s'�tendent au Contr�le Optimal (en Recherche Op�rationnelle), � la G�om�trie des Formes et aux Processus Stochastiques.

About the Author

PhD, Analyse Fonctionnelle et Applications, SISSA Trieste, Italie. Enseignant-Chercheur � l'Institut de Math�matiques et de Sciences Physiques (IMSP), Benin. Chercheur Associ� � l'ICTP, Trieste, Italie, et � l'AUST, Abuja, Nigeria. Laur�at du Prix TWAS-CBRST 2007. En collaboration avec V. Houeto (IMSP).

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