Download Bases, Outils et Principes pour L'analyse Variationnelle by Jean-Baptiste Hiriart-Urruty PDF

By Jean-Baptiste Hiriart-Urruty

L'étude mathématique des problèmes d'optimisation, ou de ceux dits variationnels de manière générale (c'est-à-dire, toute state of affairs où il y a quelque selected à minimiser sous des contraintes), requiert en préalable qu'on en maîtrise les bases, les outils fondamentaux et quelques principes. Le présent ouvrage est un cours répondant en partie à cette demande, il est principalement destiné à des étudiants de grasp en formation, et restreint à l'essentiel. Sont abordés successivement: los angeles semicontinuité inférieure, les topologies faibles, les résultats fondamentaux d'existence en optimisation; Les stipulations d'optimalité approchée; Des développements sur l. a. projection sur un convexe fermé, notamment sur un cône convexe fermé; L'analyse convexe dans son rôle opératoire; Quelques schémas de dualisation dans des problèmes d'optimisation non convexe structurés; Une creation aux sous-différentiels généralisés de fonctions non différentiables.

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Read or Download Bases, Outils et Principes pour L'analyse Variationnelle (Mathématiques et Applications) (French Edition) PDF

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