Overview
- Editors:
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Rembert Reemtsen
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Institute of Mathematics, Brandenburg Technical University of Cottbus, Germany
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Jan-J. Rückmann
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Institute of Applied Mathematics, University of Erlangen-Nuremberg, Germany
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Table of contents (12 chapters)
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Theory
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- Miguel A. Goberna, Marco A. López
Pages 3-27
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- Hubertus Th. Jongen, Jan-J. Rückmann
Pages 29-67
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- Diethard Klatte, René Henrion
Pages 69-102
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Numerical Methods
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Front Matter
Pages 135-135
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- Ian D. Coope, Christopher J. Price
Pages 137-157
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- Craig T. Lawrence, André L. Tits
Pages 159-193
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- Rembert Reemtsen, Stephan Görner
Pages 195-275
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- Lieven Vandenberghe, Stephen Boyd
Pages 277-294
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Applications
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Front Matter
Pages 295-295
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- İ. Kuban Altinel, Süleyman Özekici
Pages 297-322
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- K. O. Kortanek, Pierre Moulin
Pages 323-360
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Back Matter
Pages 413-414
About this book
Semi-infinite programming (briefly: SIP) is an exciting part of mathematical programming. SIP problems include finitely many variables and, in contrast to finite optimization problems, infinitely many inequality constraints. Prob lems of this type naturally arise in approximation theory, optimal control, and at numerous engineering applications where the model contains at least one inequality constraint for each value of a parameter and the parameter, repre senting time, space, frequency etc., varies in a given domain. The treatment of such problems requires particular theoretical and numerical techniques. The theory in SIP as well as the number of numerical SIP methods and appli cations have expanded very fast during the last years. Therefore, the main goal of this monograph is to provide a collection of tutorial and survey type articles which represent a substantial part of the contemporary body of knowledge in SIP. We are glad that leading researchers have contributed to this volume and that their articles are covering a wide range of important topics in this subject. It is our hope that both experienced students and scientists will be well advised to consult this volume. We got the idea for this volume when we were organizing the semi-infinite pro gramming workshop which was held in Cottbus, Germany, in September 1996.
Editors and Affiliations
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Institute of Mathematics, Brandenburg Technical University of Cottbus, Germany
Rembert Reemtsen
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Institute of Applied Mathematics, University of Erlangen-Nuremberg, Germany
Jan-J. Rückmann