Linear convergence of generalized Weiszfeld's method

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1980 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 25, pages 243-251 (issn: 0010-485X, eissn: 1436-5057,

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Authors: Heinrich Voß; Ulrich Eckhardt;

doi: 10.1007/bf02242002

Linear convergence of generalized Weiszfeld's method

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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.

Related Organizations

University of Duisburg-Essen
Germany
Universität Hamburg
Germany

Keywords

Best approximation, Chebyshev systems, Trade models, Numerical mathematical programming methods, linear convergence, optimal location in economics, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, Geometric optics, method of E. Weiszfeld

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