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Avtomat. i Telemekh., 2007, Issue 5, Pages 46–58 (Mi at984)  

This article is cited in 8 scientific papers (total in 9 papers)

Parallelization of the global extremum searching process

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

Dorodnitsyn Computer Center, Russian Academy of Sciences, Moscow, Russia

Abstract: The parallel algorithm for searching the global extremum of the function of several variables is designed. The algorithm is based on the method of nonuniform coverings proposed by Yu. G. Evtushenko for functions that comply with the Lipschitz condition. The algorithm is realized in the language C and message passing interface (MPI) system. To speed up computations, auxiliary procedures for founding the local extremum are used. The operation of the algorithm is illustrated by the example of atomic cluster structure calculations.

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English version:
Automation and Remote Control, 2007, 68:5, 787–798

Bibliographic databases:

PACS: 89.20.Ff
Presented by the member of Editorial Board: . . 

Received: 18.09.2006

Citation: Yu. G. Evtushenko, V. U. Malkova, A.-I. A. Stanevichyus, “Parallelization of the global extremum searching process”, Avtomat. i Telemekh., 2007, no. 5, 46–58; Autom. Remote Control, 68:5 (2007), 787–798

Citation in format AMSBIB
\by Yu.~G.~Evtushenko, V.~U.~Malkova, A.-I.~A.~Stanevichyus
\paper Parallelization of the global extremum searching process
\jour Avtomat. i Telemekh.
\yr 2007
\issue 5
\pages 46--58
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 5
\pages 787--798

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    This publication is cited in the following articles:
    1. Yu. G. Evtushenko, V. U. Malkova, A.-I. A. Stanevichyus, “Parallel global optimization of functions of several variables”, Comput. Math. Math. Phys., 49:2 (2009), 246–260  mathnet  crossref  mathscinet  zmath  isi
    2. M. K. Kerimov, “The 70th birthday of Academician Yurii Gavrilovich Evtushenko”, Comput. Math. Math. Phys., 49:10 (2009), 1653–1661  mathnet  crossref  isi
    3. Lotov A.V., “Multicriteria optimization of convex dynamical systems”, Differ Equ, 45:11 (2009), 1669–1680  crossref  mathscinet  zmath  isi  elib  scopus
    4. Rahal M., Guettal D., “Non-uniform Covering Global Minimization Algorithm for Holder Continuous Functions”, Icms: International Conference on Mathematical Science, AIP Conference Proceedings, 1309, 2010, 702–709  crossref  adsnasa  isi  scopus
    5. Guettal D., Ziadi A., “Reducing transformation and global optimization”, Applied Mathematics and Computation, 218:10 (2012), 5848–5860  crossref  mathscinet  zmath  isi  scopus
    6. Yu. G. Evtushenko, M. A. Posypkin, “Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy”, Comput. Math. Math. Phys., 53:2 (2013), 144–157  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    7. Yu. G. Evtushenko, M. A. Posypkin, “Method of non-uniform coverages to solve the multicriteria optimization problems with guaranteed accuracy”, Autom. Remote Control, 75:6 (2014), 1025–1040  mathnet  crossref  isi
    8. A. M. Dulliev, “Nearly optimal coverings of a sphere with generalized spherical segments”, Comput. Math. Math. Phys., 55:7 (2015), 1110–1119  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    9. Zhao Zh., Dong Y., Chang C., “Cigarette Packet Seal Defect Detection Based on Image Recognition Technology of Support Vector Data Description”, 2015 Chinese Automation Congress (Cac), IEEE, 2015, 552–558  crossref  isi  scopus
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