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Advances in Optimization : Proceedings of the 6th French-German Colloquium on Optimization, Held at Lambrecht, FRG, June 2-8, 1991 : Lecture Notes in Economic and Mathematical Systems - Werner Oettli

Advances in Optimization : Proceedings of the 6th French-German Colloquium on Optimization, Held at Lambrecht, FRG, June 2-8, 1991

Lecture Notes in Economic and Mathematical Systems

By: Werner Oettli (Editor), Diethard Pallaschke (Editor)


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This volume contains research and survey papers which contribute to current directions in optimization theory as well as applications to economic problems and to problems in industrial engineering. Of particular interest are: convex and non-smooth analysis, sensitivity theory, optimization techniques for non-smooth and variational problems, control theory and vector optimization.

Convex and Nonsmooth Analysis
Tensorial Convex Functionals and Applicationsp. 3
Various Continuity Properties of the Deconvolution (Or Epigraphical Difference)p. 16
Implict Functions and Regular Points in Quasidifferentiable Optimizationp. 31
About the Convergence of tbe Proximal Methodp. 39
Second-Order Generalized Derivatives: Comparisons of Two Types of Epi-Derivativesp. 52
On Some Differentiability Problemsp. 77
Mixing Proximal Regularization, Penalization and Parallel decomposition in Convex Programmingp. 85
Sensitivity Analysis and Stability
Expansions of Exact and Approximate Solutions in Nonlinear Programmingp. 103
Intersections of Lower Semi-Continuous Relations. Applications to the Stability of Constrained Saddle Pointsp. 118
Sensitivity Analysis for a Class of Convex Functions defined over a Space of Symmetric Matricesp. 133
Stability of Stationary Solutions in Semi-Infinite Optimization Via the Reduction Approachp. 155
Newton's Method based on Generalized Derivatives for Nonsmooth Functions: Convergence Analysisp. 171
Nonsmooth Optimization
A Nondifferentiable Approach to Decomposable Optimization Problems with an Applicaton to the Design of Water Distribution Networksp. 197
Exact Auxiliary Functions in Non-Convex Optimizationp. 217
Nonsmooth Problems in Calculus of Variationsp. 227
Regularizations for Two-Level Optimization Problemsp. 239
Does the Special Choice of Quasidifferentials Influence Necessary Minimum Conditions?p. 256
Superlinear Convergence in Convex Nondifferentiable Optimizationp. 267
Control Theory and Variational Problems
Sequential Quadratic Programming in Branch Spacesp. 281
Synthesis of Optimal Discrete Control Systemp. 302
Iterative Processes for Solving Incorrect Convex Variational Problemsp. 315
Filtering of Gaussian Stochastic Processes by Observations with Delaysp. 330
On Moment Theory and Controllabilityp. 345
Generalized Bernoulli Operator and Euler-Maclaurin Formulap. 355
Vector Optimization and Game Theory
Exact Bang-Bang Optimal Control for Problems with Nonlinear Costsp. 371
Introduction to General Duality Theory for Multi-Objective Optimizationp. 384
Non-Cooperative Games; Methods of Subgradient Projection and Proximal Pointp. 406
Fenchel Duality in Vector Optimizationp. 420
A General Framework for the One Center Location Problemp. 441
On Stability for Semicoercive Variational Inequalities Applied to Constrained Market Equilibria and Neumann-Signorini Problemsp. 458
On the Application of a Method of Reference Point Approximation to Bicriterial Optimization Problems in Chemical Engineeringp. 478
Numerical Results on Computing the Vector in the Convex Hull of a Finite Set of Points Raving Minimal Lengthp. 492
Min-Max Emergency Service Location Problems with Additional Conditionsp. 504
Notes and Comments
On a Minimax Approach to the Problem of Identification of Dynamic Systems in the Presence of Uncertaintyp. 515
Adaptive Optimal Strategies in Controlled Markov Processesp. 518
A Note on Constraint Qualifications in Quasidifferentiable Programmingp. 525
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540554462
ISBN-10: 3540554467
Series: Lecture Notes in Economic and Mathematical Systems
Audience: General
Format: Paperback
Language: English
Number Of Pages: 527
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 25.4 x 17.78  x 2.77
Weight (kg): 0.93