Recent Advances in Optimization: Proceedings of the 8th French-German Conference on Optimization Trier, July 21-26, 1996

by Peter Gritzmann (Editor), Reiner Horst (Editor), Ekkehard Sachs (Editor), Rainer Tichatschke (Editor)

Overview

This book presents recent theoretical and practical aspects in the field of optimization and convex analysis. The topics covered in this volume include: - Equilibrium models in economics. - Control theory and semi-infinite programming. - Ill-posed variational problems. - Global optimization. - Variational methods in image restoration. - Nonsmooth optimization. - Duality theory in convex and nonconvex optimization. - Methods for large scale problems.

Product Details

ISBN-13:	9783540630227
Publisher:	Springer Berlin Heidelberg
Publication date:	08/08/1997
Series:	Lecture Notes in Economics and Mathematical Systems , #452
Edition description:	Softcover reprint of the original 1st ed. 1997
Pages:	379
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Equilibrium programming problems: Prox-regularization and prox-methods.- Conically equivalent pairs of convex sets.- Global minimax approaches for solving discrete problems.- Gradient approaches to equilibrium.- On the best approximation of set-valued functions.-—-Intervals in nonsmooth optimization.- A new decomposition method in nonconvex programming via a separable augmented Lagrangian.- Suboptimal solutions of control problems for distributed parameter systems.- Polynominal affine-scaling algorithms for P* (?) linear complementary problems.- Multi-step proximal method for variational inequalities with monotone operators.- Which fixed point does the iteration method select?.- On differential properties of approximate optimal solutions in parametric semi-infinite programming.- Global Optimization Approach to optimizing over the efficient set.- Combining the auxiliary problem principle with approximation methods.- Stable methods for ill-posed variational inequalities in mechanics.- Variational methods in image restoration.- On a special class of mathematical programs with equilibrium constraints.- On the reconstruction problem for nondifferentiable functions.- Nonsmooth continuation for generalized equations.- Locally monotone multifunctions in spaces without linearity.- On the regularized Bingham problem.- Numerical experiments with modern methods for large scale QP-problems.- Models of singular variational inequalities and complementarity problems arising in FEM and BEM unilateral contact problems.- Trap-doors in the solution set of semi-infinite optimization problems.- On compactly Lipschitzian mappings.- Quasiconvex duality for the max of two functions.