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Test Examples for Nonlinear Programming Codes

  • Book
  • © 1981

Overview

Authors:
  1. Willi Hock

    1. Institut für Angewandte Mathematik und Statistik, Universität Würzburg Am Hubland, Würzburg, Federal Republic of Germany

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  2. Klaus Schittkowski

    1. Institut für Angewandte Mathematik und Statistik, Universität Würzburg Am Hubland, Würzburg, Federal Republic of Germany

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 187)

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Table of contents (4 chapters)

  1. Front Matter

    Pages N2-V
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  2. Description of the Documentation

    • Willi Hock, Klaus Schittkowski
    Pages 1-11

  3. Usage of the Fortran Subroutines

    • Willi Hock, Klaus Schittkowski
    Pages 12-16

  4. Condensed Information about the Test Problems

    • Willi Hock, Klaus Schittkowski
    Pages 17-22

  5. The Test Problems

    • Willi Hock, Klaus Schittkowski
    Pages 23-127

  6. Back Matter

    Pages 128-181
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About this book

................................................................. The performance of a nonlinear programming algorithm can only be ascertained by numerical experiments requiring the collection and implementation of test examples in dependence upon the desired performance criterium. This book should be considered as an assis­ tance for a test designer since it presents an extensive collec­ tion of nonlinear programming problems which have been used in the past to test or compare optimization programs. He will be in­ formed about the optimal solution, about the structure of the problem in the neighbourhood of the solution, and, in addition, about the usage of the corresp,onding FORTRAN subroutines if he is interested in obtaining them -ofi a magnetic tape. Chapter I shows how the test examples are documented. In par­ ticular, the evaluation of computable information about the solu­ tion of a problem is outlined. It is explained how the optimal solution, the optimal Lagrange-multipliers, and the condition number of the projected Hessian of the Lagrangian are obtained. Furthermore, a classification number is defined allowing a formal description of a test problem, and the documentation scheme is described which is used in Chapter IV to present the problems.

Authors and Affiliations

  • Institut für Angewandte Mathematik und Statistik, Universität Würzburg Am Hubland, Würzburg, Federal Republic of Germany

    Willi Hock, Klaus Schittkowski

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