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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2009 Volume 49, Number 2, Pages 255–269 (Mi zvmmf37)

This article is cited in 39 papers

Parallel global optimization of functions of several variables

Yu. G. Evtushenko, V. U. Malkova, A.-I. A. Stanevichyus

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: On the basis of the method of nonuniform coverings, a parallel method for the global optimization of Lipschitzian functions is developed. This method is implemented in C-MPI for the global minimization of functions whose gradient satisfies the Lipschitz condition. The performance of the algorithm is demonstrated using the calculation of the structure of a protein molecule as an example.

Key words: global optimization, method of nonuniform coverings, Lipschitzian functions, parallel computing, multiprocessor systems, Morse function for an atomic cluster energy.

UDC: 519.658

Received: 03.06.2008
Revised: 19.09.2008


 English version:
Computational Mathematics and Mathematical Physics, 2009, 49:2, 246–260

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