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Semi-Infinite Programming

  • Book
  • © 1998

Overview

Editors:
  1. Rembert Reemtsen

    1. Institute of Mathematics, Brandenburg Technical University of Cottbus, Germany

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  2. Jan-J. Rückmann

    1. Institute of Applied Mathematics, University of Erlangen-Nuremberg, Germany

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvi
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  3. Numerical Methods

    1. Front Matter

      Pages 135-135
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    2. Exact Penalty Function Methods for Nonlinear Semi-Infinite Programming

      • Ian D. Coope, Christopher J. Price
      Pages 137-157

    3. Feasible Sequential Quadratic Programming for Finely Discretized Problems from SIP

      • Craig T. Lawrence, André L. Tits
      Pages 159-193

    4. Numerical Methods for Semi-Infinite Programming: A Survey

      • Rembert Reemtsen, Stephan Görner
      Pages 195-275

    5. Connections between Semi-Infinite and Semidefinite Programming

      • Lieven Vandenberghe, Stephen Boyd
      Pages 277-294

  4. Applications

    1. Front Matter

      Pages 295-295
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    2. Reliability Testing and Semi-Infinite Linear Programming

      • İ. Kuban Altinel, Süleyman Özekici
      Pages 297-322

    3. Semi-Infinite Programming in Orthogonal Wavelet Filter Design

      • K. O. Kortanek, Pierre Moulin
      Pages 323-360

    4. The Design of Nonrecursive Digital Filters via Convex Optimization

      • Alexander W. Potchinkov
      Pages 361-387

    5. Semi-Infinite Programming in Control

      • Ekkehard W. Sachs
      Pages 389-411

  5. Back Matter

    Pages 413-414
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Keywords

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

  • Institute of Mathematics, Brandenburg Technical University of Cottbus, Germany

    Rembert Reemtsen

  • Institute of Applied Mathematics, University of Erlangen-Nuremberg, Germany

    Jan-J. Rückmann

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