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Semi-Infinite Programming

  • Rembert Reemtsen
  • Jan-J. Rückmann

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 25)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Theory

  3. Numerical Methods

    1. Front Matter
      Pages 135-135
    2. Ian D. Coope, Christopher J. Price
      Pages 137-157
    3. Rembert Reemtsen, Stephan Görner
      Pages 195-275
    4. Lieven Vandenberghe, Stephen Boyd
      Pages 277-294
  4. Applications

    1. Front Matter
      Pages 295-295
    2. İ. Kuban Altinel, Süleyman Özekici
      Pages 297-322
    3. K. O. Kortanek, Pierre Moulin
      Pages 323-360
    4. Ekkehard W. Sachs
      Pages 389-411
  5. Back Matter
    Pages 413-414

About this book

Introduction

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.

Keywords

Analysis Optimality Conditions Optimization Theory Signal Wavelet linear optimization numerical methods optimization programming

Editors and affiliations

  • Rembert Reemtsen
    • 1
  • Jan-J. Rückmann
    • 2
  1. 1.Institute of MathematicsBrandenburg Technical University of CottbusGermany
  2. 2.Institute of Applied MathematicsUniversity of Erlangen-NurembergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-2868-2
  • Copyright Information Springer-Verlag US 1998
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-4795-6
  • Online ISBN 978-1-4757-2868-2
  • Series Print ISSN 1571-568X
  • Buy this book on publisher's site
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