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Handbook of Global Optimization

  • Book
  • © 1995

Overview

Editors:
  1. Reiner Horst

    1. Department of Mathematics, University of Trier, Trier, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Panos M. Pardalos

    1. Department of Industrial and Systems Engineering, University of Florida, Gainesville, USA

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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 2)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Conditions for Global Optimality

    • J.-B. Hiriart-Urruty
    Pages 1-26

  3. Complexity Issues in Global Optimization: A Survey

    • Stephen A. Vavasis
    Pages 27-41

  4. Concave Minimization: Theory, Applications and Algorithms

    • Harold P. Benson
    Pages 43-148

  5. D.C. Optimization: Theory, Methods and Algorithms

    • Hoang Tuy
    Pages 149-216

  6. Quadratic Optimization

    • Christodoulos A. Floudas, V. Visweswaran
    Pages 217-269

  7. Complementarity Problems

    • Jong-Shi Pang
    Pages 271-338

  8. Minimax and Its Applications

    • Ding-Zhu Du
    Pages 339-367

  9. Multiplicative Programming Problems

    • Hiroshi Konno, Takahito Kuno
    Pages 369-405

  10. Lipschitz Optimization

    • Pierre Hansen, Brigitte Jaumard
    Pages 407-493

  11. Fractional Programming

    • S. Schaible
    Pages 495-608

  12. Network Problems

    • G. M. Guisewite
    Pages 609-648

  13. Trajectory Methods in Global Optimization

    • Immo Diener
    Pages 649-668

  14. Homotopy Methods

    • W. Forster
    Pages 669-750

  15. Interval Methods

    • Helmut Ratschek, Jon Rokne
    Pages 751-828

  16. Stochastic Methods

    • C. Guus E. Boender, H. Edwin Romeijn
    Pages 829-869

  17. Back Matter

    Pages 871-880
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Keywords

About this book

Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted.
The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches.
The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.

Reviews

`... provide an impressive overview of the field of global optimization. ... clearly written ... coherent and comprehensive survey of the topic at hand ... woven the material together so that the relationships among the topics covered become evident. ... knowledge, insight and maturity that the authors bring to their respective topics make the book a pleasure to read. ... constitute an extraordinary sourcebook ... I highly recommend this outstanding volume to anyone interested in global optimization.'
Journal of Global Optimization, 9 (1996)

Editors and Affiliations

  • Department of Mathematics, University of Trier, Trier, Germany

    Reiner Horst

  • Department of Industrial and Systems Engineering, University of Florida, Gainesville, USA

    Panos M. Pardalos

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