Ill-posed Variational Problems and Regularization Techniques

Michel Thera

ISBN 10: 3540663231 / ISBN 13: 9783540663232

Published by Springer, J.B. Metzler Nov 1999, 1999

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -Regularization Method for Equilibrium Programming Problem with Inaccurate Initial Data.- Lp-Regularization of the Non-Parametric Minimal Surface Problem.- Coupling the Logarithmic-Quadratic Proximal Method and the Block Nonlinear Gauss-Seidel Algorithm for Linearly Constrained Convex Minimization.- Bundle Methods for Maximal Monotone Operators.- Nonlinear Averages and Convergence of Penalty Trajectories in Convex Programming.- Case Studies in Complementarity: Improving Model Formulation.- Convergence of a Smoothing Continuation Method for Mathematical Programs with Complementarity Constraints.- Stable Solution of Variational Inequalities with Composed Monotone Operators.- A Projection-Proximal Bundle Method for Convex Nondifferentiable Minimization.- Regularization of Fixed-Point Problems and Staircase Iteration.- vu-Decomposition Derivatives for Convex Max-Functions.- Proximal and Dynamical Approaches to Equilibrium Problems.- Some Links Between Approximation, Nonsmooth Analysis, Penalization and Regularization.- Variational and Extended Sums of Monotone Operators.- Error Bounds for Regularized Complementarity Problems.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 292 pp. Englisch.

Seller Inventory # 9783540663232

Bibliographic Details

• Title: Ill-posed Variational Problems and Regularization Techniques
• Publisher: Springer, J.B. Metzler Nov 1999
• Publication Date: 1999
• Language: English
• ISBN 10: 3540663231
• ISBN 13: 9783540663232
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 16D millimeters 235 millimeters width by 155 millimeters height by 16 millimeters depth
• Weight: 446 grams

About this title

Synopsis

This volume is a collection of papers presented at the Workshop on fll-Posed Variational Problems and Regularization Techniques held at the University of Trier (Germany) in September 1998. From September 3 through September 5, 1998, about 50 scientists met at Trier to discuss recent developments in the field of ill-posed variational prob- lems and variational inequalities. 17 lectures were delivered, covering a large range of theoretical, numerical and practical aspects. The topics, as well as the invited speakers, were selected by the organizers. The main topics dis- cussed were o Regularization methods for equilibrium problems o Variational inequalities and complementarity problems and their reg- ularization o Regularization of fixed point problems o Links between approximation, penalization and regularization o Bundle methods, nonsmooth optimization and regularization o Error bounds for regularized optimization problems The organizers are gratful to all participants for their contribution to the success of this workshop. We also wish to express our cordial thanks for the financial support granted by the Deutsche Forschungsgemeinschajt, Bonn and the University of Trier. We are indebted to the referees for their helpful comments and suggestions and to our colleagues of the University Trier for their assistance in preparing this volume. M. Thera, U niversite de Limoges (France) R. Tichatschke, University of Trier (Germany) Contents Antipin A., Vasil'ev F. Regularization Method for Equilibrium Programming Problem with Inaccurate Initial Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Attouch H., Champion T. LP-Regularization of the Non-Parametric Minimal Surface Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Auslender A., Teboulle M., Ben-Tiba S.