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On the convergence of the Weiszfeld algorithm

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Abstract.

In this work we analyze the paper “Brimberg, J. (1995): The Fermat-Weber location problem revisited. Mathematical Programming 71, 71–76” which claims to close the question on the conjecture posed by Chandrasekaran and Tamir in 1989 on the convergence of the Weiszfeld algorithm. Some counterexamples are shown to the proofs showed in Brimberg’s paper.

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Authors and Affiliations

  1. Facultad de Matemáticas, Universidad de Murcia, Campus de Espinerado, 30100-Murcia, Spain;e-mail: lcanovas@um.es, , , , , , ES

    Lázaro Cánovas & Alfredo Marín

  2. Departamento de Métodos Cuantitativos e Informáticos, Facultad de Ciencias de la Empresa, Paseo Alfonso XIII, 50, 30203-Cartagena (Murcia), Spain, , , , , , ES

    Roberto Cañavate

Authors
  1. Lázaro Cánovas
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  2. Roberto Cañavate
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  3. Alfredo Marín
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Received: January 1999 / Accepted: December 2001¶Published online April 12, 2002

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ID="*"Partially supported by PB/11/FS/97 of Fundación Séneca of the Comunidad Autónoma de la Región de Murcia

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ID="**"Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica (I+I+D), project TIC2000-1750-C06-06

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Cánovas, L., Cañavate, R. & Marín, A. On the convergence of the Weiszfeld algorithm. Math. Program. 93, 327–330 (2002). https://doi.org/10.1007/s101070200297

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