An approximation method for the optimization of continuous functions of n variables by densifying their domains

• Published in: Kybernetes Vol. 28; no. 2; pp. 164 - 180
• Main Authors: Mora, Gaspar, Cherruault, Yves
• Format: Journal Article
• Language: English
• Published: London MCB UP Ltd 01.03.1999; Emerald Group Publishing Limited
• Subjects: Biocybernetics; Cybernetics; Dense curve; Global optimization; Mathematical models; Methods; Transformation; Biocybernetics; Global optimization; Transformation; Dense curve

Most of the known optimization methods for a given continuous function f defined on a compact set H = i=1,..,n[ai,bi] require strong conditions on f. In the early 1980s, Cherruault proposed a method, called ALIENOR which was able to reduce the multidimensional optimization problem to another one-dim...