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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.615
V.Yu. Semenov1, Ye.V. Semenova2


1 Scientific Production Enterprise “DELTA SPE,”
Kyiv, Ukraine

vasyl.delta@gmail.com

2 Institute of Mathematics of the National Academy
of Sciences of Ukraine, Kyiv, Ukraine

semenovaevgen@gmail.com

GLOBAL MINIMIZATION METHOD BASED ON KRAWCZYK OPERATOR

Abstract. Global minimization method for twice differentiable functions of several variables on the given interval is proposed. The method is based on the solution of systems of nonlinear equations formed by partial derivatives of the objective function with the use of Krawczyk operator. The application of the method is illustrated by numerical examples.

Keywords: global minimization, Krawczyk operator, rootfinding, Hessian.



FULL TEXT

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