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Journal of Optimization Theory and Applications

, Volume 30, Issue 1, pp 127–129 | Cite as

Test examples for nonlinear programming codes

  • W. Hock
  • K. Schittkowski
Technical Note

Abstract

The increasing importance of nonlinear programming software requires an enlarged set of test examples. The purpose of this note is to point out how an interested mathematical programmer could obtain computer programs of more than 120 constrained nonlinear programming problems which have been used in the past to test and compare optimization codes.

Key Words

Constrained nonlinear programming optimization software nonlinear programming problems 

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References

  1. 1.
    Schittkowski, K.,Randomly Generated Nonlinear Programming Test Problems, Proceedings of the 9th IFIP Conference on Optimization Techniques, Warsaw, Poland, 1979; Springer-Verlag, New York, New York, 1979.Google Scholar
  2. 2.
    Schittkowski, K.,A Numerical Comparison of 13 Nonlinear Programming Codes with Randomly Generated Test Problems, Numerical Optimization of Dynamic Systems, Edited by L. C. W. Dixon and G. P. Szegö, North-Holland Publishing Company, Amsterdam, Holland, 1980.Google Scholar
  3. 3.
    Betts, J. T.,An Accelerated Multiplier Method for Nonlinear Programming, Journal of Optimization Theory and Applications, Vol. 21, No. 2, 1977.Google Scholar
  4. 4.
    Colville, A. R.,A Comparative Study on Nonlinear Programming Codes, IBM, New York Scientific Center, Report No. 320–2949, 1968.Google Scholar
  5. 5.
    Himmelblau, D. M.,Applied Nonlinear Programming, McGraw-Hill Book Company, New York, New York, 1972.Google Scholar
  6. 6.
    Bracken, J., andMcCormick, G. P.,Selected Applications of Nonlinear Programming, John Wiley and Sons, New York, New York, 1968.Google Scholar
  7. 7.
    Huang, H. Y., andAggarwal, A. K.,A Class of Quadratically Convergent Algorithms for Constrained Function Minimization, Journal of Optimization Theory and Applications, Vol. 16, No. 5/6, 1975.Google Scholar
  8. 8.
    Dembo, R. S.,A Set of Geometric Programming Test Problems and Their Solutions, Mathematical Programming, Vol. 10, No. 2, 1976.Google Scholar
  9. 9.
    Miele, A., Huang, H. Y., andHeideman, J. C.,Sequential Gradient-Restoration Algorithms for the Minimization of Constrained Functions, Ordinary and Conjugate Gradient Versions, Journal of Optimization Theory and Applications, Vol. 4, No. 4, 1969.Google Scholar
  10. 10.
    Miele, A., Cragg, E. E., Iyer, R. R., andLevy, A. V.,Use of the Augmented Penalty Function in Mathematical Programming Problems, Part 2, Journal of Optimization Theory and Applications, Vol. 8, No. 2, 1971.Google Scholar
  11. 11.
    Miele, A., Tietze, J. L., andLevy, A. V.,Comparison of Several Gradient Algorithms for Mathematical Programming Problems, Rice University, Aero-Astronautics Report No. 94, 1972.Google Scholar
  12. 12.
    Hock, W., andSchittkowski, K.,Test Examples for the Solution of Nonlinear Programming Problems, Part 1, Preprint No. 44, Institut für Angewandte Mathematik und Statistik, Universität Würzburg, Würzburg, Germany, 1979.Google Scholar
  13. 13.
    Bus, J. C. P.,A Proposal for the Classification and Documentation of Test Problems in the Field of Nonlinear Programming, Design and Implementation of Optimization Software, Edited by H. J. Greenberg, Sijthoff and Noordhoff, Alphen aan den Rijn, Holland, 1978.Google Scholar
  14. 14.
    Hock, W., andSchittkowski, K.,Test Examples for the Solution of Nonlinear Programming Problems, Part 2, Preprint No. 45, Institut für Angewandte Mathematik und Statistik, Universität Würzburg, Würzburg, Germany, 1979.Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • W. Hock
    • 1
  • K. Schittkowski
    • 1
  1. 1.Institut für Angewandte, Mathematik und StatistikUniversität WürzburgWürzburgWest Germany

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