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A Method for Global Minimization of Functions Using the Krawczyk Operator

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Abstract

A method is proposed for global minimization of twice continuously differentiable functions of several variables on a given interval. The method is based on the solution of a system of nonlinear equations formed by partial derivatives of an objective function using the Krawczyk operator. The application of the method is illustrated by numerical examples.

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Correspondence to V. Yu. Semenov.

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Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2019, pp. 195–202.

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Semenov, V.Y., Semenova, Y.V. A Method for Global Minimization of Functions Using the Krawczyk Operator. Cybern Syst Anal 55, 1052–1058 (2019). https://doi.org/10.1007/s10559-019-00214-8

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