Trends in Mathematical Optimization

1. Front Matter

   Pages 1-7

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2. Rate of convergence for the saddle points of convex-concave functions

   • D. Aze

   Pages 9-23

3. Optimal Control of ODE Systems with Hysteresis Nonlinearities

   • Martin Brokate

   Pages 25-41

4. Equivalent Perturbations and Approximations in Optimal Control

   • A. L. Dontchev

   Pages 43-54

5. On Locally Polyhedral Convex Functions

   • Roland Durier

   Pages 55-66

6. Recent results on generalized conjugate functions

   • K.-H. Elster, A. Wolf

   Pages 67-78

7. Affine and projective transformations in nondifferentiable optimization

   • J. L. Goffin

   Pages 79-91

8. A general result of Farkas type

   • J. Gwinner

   Pages 93-101

9. Parametric semi-infinite optimization in certain lattices: Continuity of the feasible set

   • Siegfried Helbig

   Pages 103-115

10. Inverse Problems

    • Andreas Kirsch

    Pages 117-137

11. Shorted operators through convex analysis

    • Marie-Laurence Mazure

    Pages 139-152

12. About the finite convergence of the proximal point algorithm

    • O. Lefebvre, C. Michelot

    Pages 153-161

13. Coupling optimization methods and variational convergence

    • B. Lemaire

    Pages 163-179

14. Approximate solutions for two-level optimization problems

    • P. Loridan, J. Morgan

    Pages 181-196

15. On lower subdifferentiable functions

    • J. E. Martinez-Legaz

    Pages 197-232

16. On the Usage of Bundle Methods in Optimal Control of Nondifferentiable Systems

    • J. V. Outrata

    Pages 233-245

17. On Extensions of the Second-Order Derivative

    • D. Pallaschke, P. Recht

    Pages 247-258

18. Another duality scheme for Quasiconvex Problems

    • Jean Paul Penot, Michel Volle

    Pages 259-275

19. Duality in D.C. (Difference of Convex functions) Optimization. Subgradient Methods

    • Pham Dinh Tao, El Bernoussi Souad

    Pages 277-293

20. Solving Constrained Nonlinear Least Squares Problems by a General Purpose SQP-Method

    • K. Schittkowski

    Pages 295-309

This volume contains a collection of 23 papers presented at the 4th French-German Conference on Optimization, hold at Irsee, April 21 - 26, 1986. The conference was aUended by ninety scientists: about one third from France, from Germany and from third countries each. They all contributed to a highly interesting and stimulating meeting. The scientifique program consisted of four survey lectures of a more tutorical character and of 61 contributed papers covering almost all areas of optimization. In addition two informal evening sessions and a plenary discussion on further developments of optimization theory were organized. One of the main aims of the organizers was to indicate and to stress the increasing importance of optimization methods for almost all areas of science and for a fast growing number of industry branches. We hope that the conference approached this goal in a certain degree and managed to continue fruitful discussions between -theory­ and -applications-. Equally important to the official contributions and lectures is the -nonmeasurable­ part of activities inherent in such a scientific meeting. Here the charming and inspiring atmosphere of a place like Irsee helped to establish numerous new contacts between the participants and to deepen already existing ones. The conference was sponsored by the Bayerische Kultusministerium, the Deutsche Forschungsgemeinschaft and the Universities of Augsburg and Bayreuth. Their interest in the meeting and their assistance is gratefully acknowledged. We would like to thank the authors for their contributions and the referees for their helpful comments.

• algorithms
• astronomy
• linear optimization
• optimization
• science

• Institut für Mathematik, Universität Augsburg, Augsburg, Germany

  Karl-Heinz Hoffmann

• Mathematisches Institut, Universität Bayreuth, Bayreuth, Germany

  Jochem Zowe

• U.F.R. Mathématiques, Informatique, Université Paul Sabatier, Toulouse Cédex, France

  Jean-Baptiste Hiriart-Urruty

• INRIA, Le Chesnay, France

  Claude Lemarechal

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