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Ill-posed Variational Problems and Regularization Techniques Michel Thera

Ill-posed Variational Problems and Regularization Techniques By Michel Thera

Ill-posed Variational Problems and Regularization Techniques by Michel Thera


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Summary

Developments in the field of ill-posed variational problems and variational inequalities are presented here. The work covers a large range of theoretical, numerical and practical aspects.

Ill-posed Variational Problems and Regularization Techniques Summary

Ill-posed Variational Problems and Regularization Techniques: Proceedings of the "Workshop on Ill-Posed Variational Problems and Regulation Techniques" held at the University of Trier, September 3-5, 1998 by Michel Thera

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.

Table of Contents

A. Antipin, F. Vasil`ev: Regularization method for equilibrium programming problem with inaccurate initial data.- H. Attouch, T. Champion: Lp-regularization of the non-parametric minimal surface problem.- A. Auslender, M. Teboulle, S. Ben-Tiba: Coupling the logarithmic-quadratic proximal method and the block nonlinear Gauss-Seidel algorithm for linearly constrained convex minimization.- R. Burachik, C. Sagastizabal, B. Svaiter: Bundle methods for maximal monotone operators.- R. Cominetti: Nonlinear averages and convergence of penalty trajectories in convex programming.- M. Ferris, T. Munson: Case studies in complementarity: Improving model formulation.- M. Fukushima, J.-Shi Pang: Convergence of a smoothing continuation method for mathematical programs with complementarity constraints.- A. Kaplan, R. Tichatschke: Stable solution of variational inequalities with composed monotone operators.- K. Kiwiel: A projection-proximal bundle method for convex nondifferentiable minimization.- B. Lemaire: Regularization of fixed-point problems and staircase iteration.- R. Mifflin, C. Sagastizabal: VU-decomposition derivatives for convex max-functions.- A. Moudafi, M. Thera: Proximal and dynamical approaches to equilibrium problems.- J. Penot: Some links between approximation, nonsmooth analysis, penalization and regularization.- J. Revalski, M. Thera: Variational and extended sums of monotone operators.- P. Tseng: Error bounds for regularized complementarity problems.

Additional information

NLS9783540663232
9783540663232
3540663231
Ill-posed Variational Problems and Regularization Techniques: Proceedings of the "Workshop on Ill-Posed Variational Problems and Regulation Techniques" held at the University of Trier, September 3-5, 1998 by Michel Thera
New
Paperback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
1999-11-17
274
N/A
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