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

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. Litvin, Ukrainian Engineering Pedagogics Academy (16, Universitetskaya St., Kharkiv, 61003, Ukraine)

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

 

References

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Received 11 April 2017