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Interpolation methods in one dimensional optimization

Interpolationsmethoden bei eindimensionalen Optimierungsaufgaben

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Abstract

Various rational functions are compared as interpolation functions in one dimensional optimization. Three types of objective functions are employed for numerical tests—quadratic type, asymmetric type and bath-tub shaped functions.

Zusammenfassung

Numerische Vergleiche zwischen rationalen Funktionen als Interpolationsfunktionen bei eindimensionalen Optimierungsaufgaben. Als Text-Zielfunktionen wurden Funktionen von drei Typen ausgewählt: symmetrische und nichtsymmetrische Funktionen und Funktionen mit Badewannengestalt.

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References

  1. Bellman, R., Dreyfus, S.: Dynamic programming. Princeton 1962.

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  3. Lasdon, L. S., Fox, R. L., Ratner, M. W.: An efficient one-dimensional search procedure for barrier functions. mathematical Programming4, 279–296 (1973).

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Authors and Affiliations

  1. Department of Administration Engineering Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Yokohama, Japan

    H. Yanai, M. Ozawa & S. Kaneko

Authors
  1. H. Yanai
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  2. M. Ozawa
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  3. S. Kaneko
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Yanai, H., Ozawa, M. & Kaneko, S. Interpolation methods in one dimensional optimization. Computing 27, 155–163 (1981). https://doi.org/10.1007/BF02243549

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  • DOI: https://doi.org/10.1007/BF02243549

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