Optimization in complex spaces with the mixed Newton method

DOI10.1007/S10898-023-01355-ZzbMATH Open1548.32002MaRDI QIDQ6618148

Sergei Bakhurin, Roland Hildebrand, Nikita Yudin, Alexander A. Titov, Mohammad S. Alkousa

Publication date: 14 October 2024

Published in: Journal of Global Optimization (Search for Journal in Brave)

zbMATH Keywords

global convergenceNewton methodfilter designcomplex optimization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Methods of quasi-Newton type (90C53) Computational methods for problems pertaining to several complex variables and analytic spaces (32-08)

Cites Work

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• On the iteration of a rational function: Computer experiments with Newton's method
• A closed-form solution to a quadratic programming problem in complex variables
• Cayley's problem and Julia sets
• A Newton-like algorithm for complex variables with applications in blind equalization
• Unconstrained Optimization of Real Functions in Complex Variables

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