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Infinite-Dimensional Optimization and Convexity (Chicago Lectures in Mathematics)

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Infinite-Dimensional Optimization and Convexity (Chicago Lectures in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

About the Author

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.

Table of Contents

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

Product Details

ISBN:
9780226199887
Author:
Turnbull, Thomas
Author:
Turnbull, Thomas
Author:
Ekeland, I.
Publisher:
University of Chicago Press
Location:
Chicago :
Subject:
General
Subject:
Statistics
Subject:
Mathematical optimization
Subject:
Calculus of variations
Subject:
Convex domains
Subject:
Probability & Statistics - General
Subject:
Business - General
Edition Description:
Paperback
Series:
Chicago Lectures in Mathematics (Paperback)
Series Volume:
no. 606
Publication Date:
19830931
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
174
Dimensions:
8 x 5.25 in

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Related Subjects

Business » General
Business » Management
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

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Product details 174 pages University of Chicago Press - English 9780226199887 Reviews:
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