The theoretic calculation time associated to α‐dense curves

Abstract

The theoretic calculation time associated to every α‐dense curve into a fixed H of Rⁿ is inversely proportional to the discretization step depending on the length of the curve and, more directly, of the derivatives of its coordinate functions. For a given degree of density α, it is interesting to seek curves into H which may minimize the theoretic calculation time and then to solve the practical problem of computing approximations for global optimization of a given continuous function defined in H, by means of its restriction over a family of curves with the same degree of density into the cube H.

Citation

Mora, G. and Cherruault, Y. (1998), "The theoretic calculation time associated to α‐dense curves", Kybernetes, Vol. 27 No. 8, pp. 919-939. https://doi.org/10.1108/03684929810240347