TWONE: the revisited version

Author: Bendiab O   Cherruault Y  

Publisher: Emerald Group Publishing Ltd

ISSN: 0368-492X

Source: Kybernetes: The International Journal of Systems & Cybernetics, Vol.26, Iss.9, 1997-09, pp. : 1047-1055

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Abstract

Follows on from previous papers by the authors, where TWONE, a method for solving global optimization problems in two dimensions was presented. Presents an improved version. If Ω is a compact connect subset of R2 looks for the minimum of a function f defined on Ω with values in R.2 TWONE method considers the restriction of f to an -dense curve in R2. That implies the resolution of a one dimensional problem. Gives some -dense curves in R2 with  as small as we want. Has biomedical and biocybernetic implications.