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Cybernetics and Systems Analysis

, Volume 55, Issue 6, pp 1052–1058 | Cite as

A Method for Global Minimization of Functions Using the Krawczyk Operator

  • V. Yu. SemenovEmail author
  • Ye. V. Semenova
Article
  • 2 Downloads

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.

Keywords

global minimization Krawczyk operator rootfinding Hessian 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.DELTA SPE LLCKyivUkraine
  2. 2.Institute of MathematicsNational Academy of Sciences of UkraineKyivUkraine

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