Recent Developments in Optimization: Seventh French-German Conference on Optimization

✍ Scribed by Walter Alt (auth.), Prof. Roland Durier, Prof. Christian Michelot (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1995
• Tongue: English
• Leaves: 368
• Series: Lecture Notes in Economics and Mathematical Systems 429
• Edition: 1
• Category: Library

✦ Synopsis

The main objective of this volume is to provide a presentation and discussion of recent developments in optimization and related fields. Equal emphasis is given to theoretical and practical studies. All the papers in this volume contain original results except two of them which are survey contributions. They deal with a wide range of topics such as optimization and variational inequalities, sensitivity and stability analysis, control theory, convex and nonsmooth analysis, and numerical methods.

✦ Table of Contents

Front Matter....Pages i-viii
Semi-Local Convergence of the Lagrange-Newton Method with Application to Optimal Control....Pages 1-16
Intrinsic Bounds for Kuhn-Tucker Points of Perturbed Convex Programs....Pages 17-35
Shape Sensitivity Analysis of Nonsmooth Shape Functionals....Pages 36-45
Infinite-Horizon Problems under Holonomic Constraints....Pages 46-59
A Survey of Examples of Convex Functions and Classifications of Normed Spaces....Pages 60-71
Stochastic Optimal Control and Decomposition-Coordination Methods Part I: Theory....Pages 72-87
Stochastic Optimal Control and Decomposition-Coordination Methods Part II: Application....Pages 88-103
Approximation, Inversion and Implicit Function Theorems....Pages 104-116
A Survey on Separability and Generalized Convexity or Generalized Monotonicity....Pages 117-124
On Regularity of Optimal Control....Pages 125-135
Degeneracy, Normality, Stability in Mathematical Programming....Pages 136-141
A Smooth Variational Principle for Vector Optimization Problems....Pages 142-154
Automatic Directional Differentiation of Nonsmooth Composite Functions....Pages 155-169
A Hilbert Space Approach to Some Flow Problems....Pages 170-182
On the Critical Sets of One-Parameter Quadratic Optimization Problems....Pages 183-197
On New Proximal Methods for Elliptic Variational Inequalities (Case of Symmetric Operators)....Pages 198-213
On Quantitative Stability for C 1,1 Programs....Pages 214-230
Linear Approximation under Infinitely Many Linear Constraints....Pages 231-242
Approximation of Multifunctions and Superlinear Convergence....Pages 243-251
On the Convergence of Some Iterative Methods for Convex Minimization....Pages 252-268
Generalized Convexity in the Light of Nonsmooth Analysis....Pages 269-290
Fuel Mixture Nonconvex Optimization Problem: Solution Methods and Numerical Simulations....Pages 291-305
Filtering and Control under Pointwise in Time Bounds by the Use of Central Solutions....Pages 306-324
On an Optimal Control Problem for Chemical Reactors....Pages 325-339
A Generalized Sequential Formula for Subdifferentials of Sums of Convex Functions Defined on Banach Spaces....Pages 340-345
Subdifferentiability, Lower Semicontinuity and Exactness of the Level Sum of Two Convex Functions on Locally Convex Spaces....Pages 346-356
Back Matter....Pages 357-360

✦ Subjects

Economic Theory; Operations Research/Decision Theory; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization