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Linear convergence of generalized Weiszfeld's method

Lineare Konvergenz der verallgemeinerten Methode von Weiszfeld

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Abstract

Weiszfeld's method is widely used for solving problems of optimal location. It is shown that a very general variant of this method converges linearly thus generalizing a result of I. N. Katz.

Zusammenfassung

Zur Lösung von Standortoptimierungsproblemen wird häufig eine auf E. Weiszfeld zurückgehende Methode verwendet, von der I. N. Katz lokal lineare Konvergenz nachweisen konnte. Dieses Resultat wird in der vorliegenden Arbeit verallgemeinert.

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Author information

Authors and Affiliations

  1. Fachbereich 6, Universität Essen, Universitätsstrasse 2, Postfach 68 43, D-4300, Essen 1, Federal Republic of Germany

    H. Voß

  2. Institut für Angewandte Mathematik, Universität Hamburg, Bundesstrasse 55, D-2000, Hamburg 13, Federal Republic of Germany

    U. Eckhardt

Authors
  1. H. Voß
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  2. U. Eckhardt
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Additional information

Dedicated to Prof. Dr. L. Collatz on the occasion of his 70th birthday, 6. July 1980.

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Voß, H., Eckhardt, U. Linear convergence of generalized Weiszfeld's method. Computing 25, 243–251 (1980). https://doi.org/10.1007/BF02242002

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  • DOI: https://doi.org/10.1007/BF02242002

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