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Geometrische Charakterisierung exakter Penalty-Funktionen

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Book cover Vorträge der Jahrestagung 1974 DGOR Papers of the Annual Meeting

Part of the book series: Operations Research Proceedings ((ORP,volume 1974))

Summary

For the general nonlinear programming problem we consider a class of penalty-functions. In this paper we present a necessary and a sufficient condition for local exactness.

Zusammenfassung

Zu einem allgemeinen nichtlinearen Optimierungsproblem (P) betrachten wir eine Klasse von Penalty-Funktionen. Ist G(x,M) einer ihrer Vertreter, dann geben wir ein hinreichendes und ein notwendiges Kriterium für lokale Exaktheit an.

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Literatur

  1. M.S. Bazaraa, J.J. Goode, and M.Z. Nashed: On the Cones of Tangents with Appl. to Math. Programming. J.of Opt. Theory a. Appl.,Vol. 13, 1974, p. 389–426.

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  3. J.P. Evans, F.J. Gould, J.W. Tolle: Exact Penalty-Functions in Nonlinear Programming. Math.Programming Vol. 4, 1973, p. 72–97.

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  6. W.I. Zangwill: Nonlinear Programming via Penalty-functions. Management Science, Vol. 13, 1967, p. 344–358.

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Author information

Authors and Affiliations

  1. Göttingen, Deutschland

    H. Czap

Authors
  1. H. Czap
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Editor information

Editors and Affiliations

  1. Aachen, Deutschland

    H.-J. Zimmermann

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© 1974 Springer-Verlag Berlin Heidelberg

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Czap, H. (1974). Geometrische Charakterisierung exakter Penalty-Funktionen. In: Zimmermann, HJ., Schub, A., Späth, H., Stoer, J. (eds) Vorträge der Jahrestagung 1974 DGOR Papers of the Annual Meeting. Operations Research Proceedings, vol 1974. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-52074-7_19

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  • DOI: https://doi.org/10.1007/978-3-642-52074-7_19

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0151-4

  • Online ISBN: 978-3-642-52074-7

  • eBook Packages: Springer Book Archive

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