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

ISBN-13: 9783540630227 / Angielski / Miękka / 1997 / 379 str.

Peter Gritzmann; Reiner Horst; Ekkehard Sachs

Opis

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.

Spis treści

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.

O autorze

Professor Peter Gritzmann lehrt und forscht am Mathematischen Institut der TU München.