Skip to main content
SpringerLink
Log in

Eine allgemeine, symmetrische Formulierung des Dekompositionsprinzips für duale Paare nichtlinearer Minmax- und Maxmin-Probleme

  • Published:
Zeitschrift für Operations Research Aims and scope Submit manuscript

Zusammenfassung

Es wird eine allgemeine Formulierung des Dekompositionsverfahrens zur Lösung konvex-konkaver Sattelpunktprobleme angegeben.

Summary

A general formulation of decomposition methods for finding saddle-points of convexconcave functions is proposed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literaturverzeichnis

  • Dantzig, G. B.: General convex objective forms. In: Mathematical Methods in the Social Sciences (K. J. Arrow, S. Karlin, P. Suppes ed.), pp. 151–158. Stanford University Press, Stanford 1960.

    Google Scholar 

  • Benders, J. F.: Partitioning procedures for solving mixed-variables programming problems. Numer. Math.4, 238–252, 1962.

    Google Scholar 

  • Broise, P., P. Huard undJ. Sentenac: Décomposition des programmes mathématiques. Dunod, Paris 1968.

    Google Scholar 

  • Kronsjö, T. O. M.: Decomposition of a nonlinear convex separable economic system in primal and dual directions. In: Optimization (R. Fletcher ed.), pp. 85–97. Academic Press, London 1969.

    Google Scholar 

  • Himmelblau, D. M. (Ed.): Decomposition of Large-Scale Problems. North-Holland Elsevier, Amsterdam 1973.

    Google Scholar 

  • Stoer, J.: Duality in nonlinear programming and the minimax theorem. Numer. Math.5, 371–379, 1963.

    Google Scholar 

  • Frank, M., undP. Wolfe: An algorithm for quadratic programming. Naval Res. Logist. Quart.3, 95–110, 1956.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Universität Mannheim, D-68, Mannheim, Schloß

    W. Oettli

Authors
  1. W. Oettli
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Oettli, W. Eine allgemeine, symmetrische Formulierung des Dekompositionsprinzips für duale Paare nichtlinearer Minmax- und Maxmin-Probleme. Zeitschrift für Operations Research 18, 1–18 (1974). https://doi.org/10.1007/BF01949709

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01949709

Search

Navigation