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

Optimization by space‐densifying curves as a natural generalization of the Alienor method The Alienor method offers a powerful approximation technique for the optimization of continuous multivariable functions defined on a compact set H of R n . 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Kybernetes Emerald Publishing

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

Kybernetes, Volume 29 (5/6): 9 – Jul 1, 2000

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Publisher
Emerald Publishing
Copyright
Copyright © 2000 MCB UP Ltd. All rights reserved.
ISSN
0368-492X
DOI
10.1108/03684920010333170
Publisher site
See Article on Publisher Site

Abstract

The Alienor method offers a powerful approximation technique for the optimization of continuous multivariable functions defined on a compact set H of R n . 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.

Journal

KybernetesEmerald Publishing

Published: Jul 1, 2000

Keywords: Cybernetics; Global optimization

References

  • An approximation method for the optimization of continuous functions of n variables by densifying their domains
    Mora, G; Cherruault, Y
  • On the minimal length curve that densifies the square
    Mora, G; Cherruault, Y

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