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Zbl 0990.65064
Vardi, Yehuda; Zhang, Cun-Hui
A modified Weiszfeld algorithm for the Fermat-Weber location problem. (English)
[J] Math. Program. 90, No. 3 (A), 559-566 (2001). ISSN 0025-5610; ISSN 1436-4646/e

A simple modification of {\it E. Weiszfeld}'s iterative algorithm [Tôhoku Math. J. 43, 355--386 (1937; Zbl 0017.18007)] is introduced for the solution of the Fermat-Weber location problem in $\Bbb R^n$ with the Euclidean distance. The algorithm is also extended to the case of nonlinear cost functions.

MSC 2000:: *65K05 Mathematical programming (numerical methods)
90C25 Convex programming
62H12 Multivariate estimation
90B85 Continuous location

Keywords: Weiszfeld algorithm; iterative algorithm; Fermat-Weber location problem; nonlinear cost functions

Citations: Zbl 0017.18007

Cited in: Zbl 1241.90076

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