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Optimization by space‐densifying curves as a natural generalization of the Alienor method

Gaspar Mora (Department of Mathematical Analysis and Applied Mathematics, Faculty of Sciences, University of Alicante, Alicante, Spain)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 July 2000

Abstract

The Alienor method offers a powerful approximation technique for the optimization of continuous multivariable functions defined on a compact set H of Rn. Its computational efficiency is completed by the fact that it gave rise to the theory of space‐densifying curves. Presents a survey of these curves, analysing their most important properties and characteristics. Finally, the concept of theoretic calculation time (t.c.t.) associated with each curve suggests an interesting geometric problem on the existence of a curve with minimal t.c.t.

Keywords

Citation

Mora, G. (2000), "Optimization by space‐densifying curves as a natural generalization of the Alienor method", Kybernetes, Vol. 29 No. 5/6, pp. 746-754. https://doi.org/10.1108/03684920010333170

Publisher

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MCB UP Ltd

Copyright © 2000, MCB UP Limited