Advertisement

Reliability and Applicability of Nonlinear Optimization Software

  • B. Novak

Abstract

Application of optimization methods in a design of various equipment requires that the methods are reliable even when the mathematical model is highly nonlinear. Some basic tests exist which allow testing reliability of optimization methods. But the success of an optimization method depends also upon how a mathematical model of a problem is built. An example is given how this should be done.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Powell, M. J. D., A Fast Algorithm for Nonlinearly Constrained Optimization Calculations, Proceedings of the 1977 Dundee Biennial Conference on Numerical Analysis, Springer-Verlag, Berlin, pp. 144–157, 1978Google Scholar
  2. 2.
    Powell, M. J. D., Algorithms for Nonlinear Constraints that use Lagrangian Function, Mathematical Programming, 14, pp. 224–248, 1978.MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Fleteher, R., Methods for Nonlinear Constraints, in Nonlinear Optimization 1981, Edited by M. J. D. Powell, Academic Press, London, pp. 185–211, 1982.Google Scholar
  4. 4.
    Fleteher, R., An Ideal Penalty Function for Nonlinear Programming with Inequalities, Mathematical Programming, 5, pp. 129–150, 1973.MathSciNetCrossRefGoogle Scholar
  5. 5.
    Han, S. P., A Globally Convergent Method for Nonlinear Programming, Journal of Optimization Theory and Applications, Vol. 22, No. 5, pp. 297–309, July, 1977.MathSciNetzbMATHCrossRefGoogle Scholar
  6. 6.
    Powell, M. J. D., Extension to Subroutine VF02AD, in System Modeling and Optimization, Lecture Notes in Control and Information Sciences 38, Edited by R. F. Drenick and F. Kozin, Springer-Verlag, New York, pp. 529–538, 1982.Google Scholar
  7. 7.
    Schinziger, R., Optimization in Electromagnetic System Design, in Recent Advances in Optimization Techniques, Edited by A. Lavi and T. P. Vogl, John Wiley and Sons, pp. 163–213, 1965.Google Scholar
  8. 8.
    Bartholomew-Biggs, A Numerical Comparison Between Two Approaches to the Nonlinear Programming Problem, in Towards Global Optimization, Vol. 2, Edited by L. C. W. Dixon, and G. P. Szego, North Holland Publishing Company, pp. 293–312, 1978.Google Scholar

Copyright information

© Computational Mechanics Publications 1991

Authors and Affiliations

  • B. Novak
    • 1
  1. 1.The Faculty of Technical SciencesUniversity of MariborMariborYugoslavia

Personalised recommendations