On the convergence of the Weiszfeld algorithm |
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| Authors: | Lázaro Cánovas Roberto Cañavate Alfredo Marín |
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| Institution: | (1) Facultad de Matemáticas, Universidad de Murcia, Campus de Espinerado, 30100-Murcia, Spain;e-mail: lcanovas@um.es, ES;(2) Departamento de Métodos Cuantitativos e Informáticos, Facultad de Ciencias de la Empresa, Paseo Alfonso XIII, 50, 30203-Cartagena (Murcia), Spain, ES |
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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.
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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