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.

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).


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© 1986
North Holland
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