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Global Optimization

Deterministic Approaches

  • Book
  • © 1996

Overview

Authors:
  1. Reiner Horst

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

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    You can also search for this author in PubMed   Google Scholar

  2. Hoang Tuy

    1. Institute of Mathematics, Vien Toan Hoc, Hanoi, Vietnam

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XVIII
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  2. Introduction and Basic Techniques

    1. Front Matter

      Pages 1-1
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    2. Some Important Classes of Global Optimization Problems

      • Reiner Horst, Hoang Tuy
      Pages 3-51

    3. Outer Approximation

      • Reiner Horst, Hoang Tuy
      Pages 53-87

    4. Concavity Cuts

      • Reiner Horst, Hoang Tuy
      Pages 89-114

    5. Branch and Bound

      • Reiner Horst, Hoang Tuy
      Pages 115-178

  3. Concave Minimization

    1. Front Matter

      Pages 179-179
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    2. Cutting Methods

      • Reiner Horst, Hoang Tuy
      Pages 181-224

    3. Successive Approximation Methods

      • Reiner Horst, Hoang Tuy
      Pages 225-293

    4. Successive Partition Methods

      • Reiner Horst, Hoang Tuy
      Pages 295-380

    5. Decomposition of Large Scale Problems

      • Reiner Horst, Hoang Tuy
      Pages 381-446

    6. Special Problems of Concave Minimization

      • Reiner Horst, Hoang Tuy
      Pages 447-515

  4. General Nonlinear Problems

    1. Front Matter

      Pages 517-517
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    2. D.C. Programming

      • Reiner Horst, Hoang Tuy
      Pages 519-601

    3. Lipschitz and Continuous Optimization

      • Reiner Horst, Hoang Tuy
      Pages 603-679

  5. Back Matter

    Pages 681-729
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Keywords

About this book

The main contents and character of the monograph did not change with respect to the first edition. However, within most chapters we incorporated quite a number of modifications which take into account the recent development of the field, the very valuable suggestions and comments that we received from numerous colleagues and students as well as our own experience while using the book. Some errors and misprints in the first edition are also corrected. Reiner Horst May 1992 Hoang Tuy PREFACE TO THE FIRST EDITION The enormous practical need for solving global optimization problems coupled with a rapidly advancing computer technology has allowed one to consider problems which a few years aga would have been considered computationally intractable. As a consequence, we are seeing the creation of a large and increasing number of diverse algorithms for solving a wide variety of multiextremal global optimization problems. The goal of this book is to systematically clarify and unify these diverse approaches in order to provide insight into the underlying concepts and their pro­ perties. Aside from a coherent view of the field much new material is presented.

Authors and Affiliations

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

    Reiner Horst

  • Institute of Mathematics, Vien Toan Hoc, Hanoi, Vietnam

    Hoang Tuy

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