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

by Roland Durier (Editor), Christian Michelot (Editor)

Overview

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.

Product Details

ISBN-13:	9783540600411
Publisher:	Springer Berlin Heidelberg
Publication date:	09/18/1995
Series:	Lecture Notes in Economics and Mathematical Systems , #429
Edition description:	Softcover reprint of the original 1st ed. 1995
Pages:	356
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Semi-local convergence of the Lagrange-Newton method with application to optimal control.- Intrinsic bounds for Kuhn-Tucker points of perturbed convex programs.- Shape sensitivity analysis of nonsmooth shape functionals.- Infinite-horizon problems under holonomic constraints..- A survey of examples of convex functions and classifications of normed spaces.- Shastic optimal control and decomposition-coordination methods Part I: Theory.- Shastic optimal control and decomposition-coordination methods. Part II: Application.- Approximation, inversion and implicit function theorems.- A survey on separability and generalized convexity or generalized monotonicity.- On regularity of optimal control.- Degeneracy, normality, stability in mathematical programming.- A smooth variational principle for vector optimization problems.- Automatic directional differentiation of nonsmooth composite functions.- A Hilbert space approach to some flow problems.- On the critical sets of one-parameter quadratic optimization problems.- On new proximal methods for elliptic variational inequalities (case of symmetric operators).- On quantitative stability for C1,1 programs.- Linear approximation under infinitely many linear constraints.- Approximation of multifunctions and superlinear convergence.- On the convergence of some iterative methods for convex minimization.- Generalized convexity in the light of nonsmooth analysis.- Fuel mixture nonconvex problem: Solution methods and numerical simulations.- Filtering and control under pointwise in time bounds by the use of central solutions.- On an optimal control problem for chemical reactors.- A generalized sequential formula for subdifferentials of sums of convex functions defined on Banach spaces.- Subdifferentiability, lower semicontinuity and exactness of the level sum of two convex functions on locally convex spaces.