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Rahal, M. and Ziadi, A. (2008) A New Extension of Piyavskii's Method to Holder Functions of Several Variables. Applied Mathematics and Computation, 197, 478-488.
https://doi.org/10.1016/j.amc.2007.07.067

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.