Weiszfeld’s Method

Alexander J. Zaslavski
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Alexander J. Zaslavski: The Technion – Israel Institute of Technology

Chapter Chapter 6 in Numerical Optimization with Computational Errors, 2016, pp 85-103 from Springer

Abstract: Abstract In this chapter we analyze the behavior of Weiszfeld’s method for solving the Fermat–Weber location problem. We show that the algorithm generates a good approximate solution, if computational errors are bounded from above by a small positive constant. Moreover, for a known computational error, we find out what an approximate solution can be obtained and how many iterates one needs for this.

Keywords: Approximate Solution; Minimization Problem; Convex Analysis; Full Treatment; Computational Error (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-30921-7_6

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DOI: 10.1007/978-3-319-30921-7_6

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