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Infinite-Dimensional Optimization and Convexity de Ivar Ekeland

Infinite-Dimensional Optimization and Convexity: Chicago Lectures in Mathematics

Autor Ivar Ekeland, Thomas Turnbull
en Limba Engleză Paperback – 31 aug 1983
In this volume, Ekeland and Turnbull are mainly concerned with existence theory. They seek to determine whether, when given an optimization problem consisting of minimizing a functional over some feasible set, an optimal solution—a minimizer—may be found.
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Specificații

ISBN-13: 9780226199887
ISBN-10: 0226199886
Pagini: 174
Dimensiuni: 133 x 203 x 15 mm
Greutate: 0.16 kg
Editura: University of Chicago Press
Colecția University of Chicago Press
Seria Chicago Lectures in Mathematics

Notă biografică

Ivar Ekeland is professor of mathematics at the University of Paris-Dauphine. Thomas Turnbull is a student in the Graduate School of Business at the University of Chicago.

Cuprins

Foreword
Chapter I - The Caratheodory Approach
1. Optimal Control Problems
2. Hamiltonian Systems
Chapter II - Infinite-dimensional Optimization
1.  The Variational Principle
2.  Strongly Continuous Functions on LP-spaces
3. Smooth Optimization in L2
4. Weak Topologies
5. Existence Theory for the Calculus of Variations
Chapter III - Duality Theory
1. Convex Analysis
2. Subdifferentiability
3.  Necessary Conditions and Duality Theory
4. Non-convex Duality Theory
5. Applications of Duality to the Calculus of Variations
6.  Relaxation  Theory
Notes
References