SPLINE-INTERFLETATION METHOD IN FINDING THE LARGEST (SMALLEST) VALUE OF THE FUNCTION OF THREE VARIABLES IN MULTIEXTREMAL PROBLEMS

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J. of Mech. Eng., 2017, vol. 20, no. 3, pp. 40-48

DOI:   https://doi.org/10.15407/pmach2017.03.040

Journal Journal of Mechanical Engineering
Publisher A. Podgorny Institute for Mechanical Engineering Problems
National Academy of Science of Ukraine
ISSN 0131-2928 (Print), 2411-0779 (Online)
Issue Vol. 20, no. 3, 2017 (September)
Pages 40–48

 

Authors

O. M. Lytvyn, Ukrainian Engineering Pedagogics Academy (16, Universitetskaya St., Kharkiv, 61003, Ukraine), e-mail: academ_mail@ukr.net

O. V. Yarmosh, Ukrainian Engineering Pedagogics Academy (16, Universitetskaya St., Kharkiv, 61003, Ukraine)

T. I. Chorna, Ukrainian Engineering Pedagogics Academy (16, Universitetskaya St., Kharkiv, 61003, Ukraine), e-mail: tanya_chorna@ukr.net

 

Abstract

This article proposes to use spline-interlineation operators on a system of mutually perpendicular straight lines, constructed using spline-interfletation operators of three variables to solve the problem of finding the largest and smallest values of a continuous function of three variables in a closed domain D=[0, 1]3. An example is considered. An analysis of the computational experiment is given.

 

Keywords: spline-interlineation operators, spline-interfletation operators, function traces, mutually perpendicular straight lines

 

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Received 11 April 2017