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Optimisation Convexe Et Inéquations Variationnelles Monotones
Paperback
Series: Mathématiques Et Applications, Book 89
ISBN13: 9783031306808
Publisher: Springer Nature
Published: Jun 15 2023
Pages: 194
Weight: 0.66
Height: 0.44 Width: 6.14 Depth: 9.21
Language: French
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.
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