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Ammar, H. and Cherruault, Y. (1993) Approximation of Several Variables Function by a One Variable Function and Application to Global Optimization. Mathematical and Computer Modelling, 18, 17-21.
https://doi.org/10.1016/0895-7177(93)90003-H

has been cited by the following article:

• TITLE: Global Optimization of Multivariate Holderian Functions Using Overestimators

  AUTHORS: Amine Yahyaoui, Hamadi Ammar

  KEYWORDS: Global Optimization, Branch and Bound, Holderian Functions, Alienor Method

  JOURNAL NAME: Open Access Library Journal, Vol.4 No.5, May 5, 2017

  ABSTRACT: This paper deals with the global optimization of several variables Holderian functions. An algorithm using a sequence of overestimators of a single variable objective function was developed converging to the maximum. Then by the use of α-dense curves, we show how to implement this algorithm in a multidimensional optimization problem. Finally, we validate the algorithm by testing it on some test functions.