Fermat Days 85: Mathematics for Optimization

Edited By

  • J.-B. Hiriart-Urruty

Optimization, as examined here, ranges from differential equations to problems arising in Mechanics and Statistics. The main topics covered are: calculations of variations and nonlinear elasticity, optimal control, analysis and optimization in problems dealing with nondifferentiable data, duality techniques, algorithms in mathematical programming and optimal control.
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Book information

  • Published: January 1986
  • Imprint: NORTH-HOLLAND
  • ISBN: 978-0-444-70121-3


Table of Contents

On Continuity Properties of the Partial Legendre-Fenchel Transform: Convergence of Sequences of Augmented Lagrangian Functions, Moreau-Yosida Approximates and Subdifferential Operators (H. Attouch, D. Azé, R. Wets). Seminormality of Integral Functionals and Relaxed Control Theory (E. Balder). Global Maximization of a Nondefinite Quadratic Function over a Convex Polyhedron (R. Benacer, Pham Dinh Tao). On Connections between the Maximum Principle and the Dynamic Programming Technique (F.H. Clarke, R. Vinter). Convex Function of a Measure. The Unbounded Case (F. Demengel, R. Temam). Computational Methods in Scheduling Optimization (R. Gonzalez, E. Rofman). A New Set-Valued Second Order Derivative for Convex Functions (J.-B. Hiriart-Urruty). On the Theory of Subdifferential (A.D. Ioffe). Constructing Bundle Methods for Convex Optimization (C. Lemarechal). Existence Theorems in Nonlinear Elasticity (P. Marcellini). Algorithms for Solving a Class of Nonconvex Optimization Problems. Methods of Subgradients (Pham Dinh Tao, El Bernoussi Souad). A General Deterministic Approach to Global Optimization via D.C. Programming (H. Tuy). Well-Posedness and Stability Analysis in Optimization (T. Zolezzi).