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Optimisation Convexe Et Inéquations Variationnelles Monotones

Optimisation Convexe Et Inéquations Variationnelles Monotones


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About the Book

De nombreux systèmes physiques, mécaniques, financiers et économiques peuvent être décrits par des modèles mathématiques qui visent à optimiser des fonctions, trouver des équilibres et effectuer des arbitrages. Souvent, la convexité des ensembles et des fonctions ainsi que les conditions de monotonie sur les systèmes d'inéquations qui régissent ces systèmes se présentent naturellement dans les modèles. C'est dans cet esprit que nous avons conçu ce livre en mettant l'accent sur une approche géométrique qui privilégie l'intuition par rapport à une approche plus analytique. Les démonstrations des résultats classiques ont été revues dans cette optique et simplifiées. De nombreux exemples d'applications sont étudiés et des exercices sont proposés.

Ce livre s'adresse aux étudiants en master de mathématiques appliquées, ainsi qu'aux doctorants, chercheurs et ingénieurs souhaitant comprendre les fondements de l'analyse convexe et de la théorie des inéquations variationnelles monotones.


About the Author:

Jean-Pierre Crouzeix est professeur émérite à l'Université Clermont-Auvergne de Clermont-Ferrand. Il est spécialisé en optimisation, en analyse convexe et ses généralisations avec applications à la théorie du consommateur.

Abdelhak Hassouni est Professeur à l'Université Mohammed V de Rabat (Maroc). Il est spécialiste de la convexité et de la monotonie généralisées. Ses travaux de recherches portent sur l'optimisation, les problèmes variationnelles, la complémentarité linéaire, la programmation semi-infinie et l'algorithme proximal.

Eladio Ocaña est professeur à l'Universidad Nacional de Ingeniería (UNI) et chercheur à l'Instituto de Matemática y Ciencias Afines (IMCA). Ses recherches portent sur l'optimisation, l'analyse convexe et l'analyse variationnelle, tant sur le plan théorique qu'algorithmique.



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Product Details
  • ISBN-13: 9783031306808
  • Publisher: Springer Nature Switzerland
  • Binding: Paperback
  • Language: French
  • Returnable: Y
  • Weight: 354 gr
  • ISBN-10: 3031306805
  • Publisher Date: 28 Jun 2023
  • Height: 234 mm
  • No of Pages: 237
  • Spine Width: 11 mm
  • Width: 156 mm


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Optimisation Convexe Et Inéquations Variationnelles Monotones
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