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Nonconvex Optimization and Its Applications

Semi-Infinite Programming

Editors: Reemtsen, Rembert, Rückmann, Jan-J. (Eds.)

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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.

Table of contents (12 chapters)

  • A Comprehensive Survey of Linear Semi-Infinite Optimization Theory

    Goberna, Miguel A. (et al.)

    Pages 3-27

  • On Stability and Deformation in Semi-Infinite Optimization

    Jongen, Hubertus Th. (et al.)

    Pages 29-67

  • Regularity and Stability in Nonlinear Semi-Infinite Optimization

    Klatte, Diethard (et al.)

    Pages 69-102

  • First and Second Order Optimality Conditions and Perturbation Analysis of Semi-Infinite Programming Problems

    Shapiro, Alexander

    Pages 103-133

  • Exact Penalty Function Methods for Nonlinear Semi-Infinite Programming

    Coope, Ian D. (et al.)

    Pages 137-157

Buy this book

eBook $209.00
price for USA in USD (gross)
  • ISBN 978-1-4757-2868-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $269.00
price for USA in USD
  • ISBN 978-0-7923-5054-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $269.00
price for USA in USD
  • ISBN 978-1-4419-4795-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Semi-Infinite Programming
Editors
  • Rembert Reemtsen
  • Jan-J. Rückmann
Series Title
Nonconvex Optimization and Its Applications
Series Volume
25
Copyright
1998
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-2868-2
DOI
10.1007/978-1-4757-2868-2
Hardcover ISBN
978-0-7923-5054-5
Softcover ISBN
978-1-4419-4795-6
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XVI, 414
Topics