A Method for Global Minimization of Functions Using the Krawczyk Operator

A Method for Global Minimization of Functions Using the Krawczyk Operator

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 applica...

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Veröffentlicht in:Cybernetics and systems analysis 2019-11, Vol.55 (6), p.1052-1058
Hauptverfasser: Semenov, V. Yu, Semenova, Ye. V.
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Control
Mathematics
Mathematics and Statistics
Nonlinear equations
Operators (mathematics)
Optimization
Processor Architectures
Software Engineering/Programming and Operating Systems
Systems Theory
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Zusammenfassung: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.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-019-00214-8