On the Newton-Broyden method for solving systems of nonlinear equations
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Published:2023-12-25
Issue:1
Volume:1
Page:80-87
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ISSN:2786-815X
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Container-title:Journal of Applied and Numerical Analysis
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language:
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Short-container-title:J. App. Num. Analysis
Author:
Shakhno StepanORCID,
Yarmola HalynaORCID
Abstract
The Newton-Broyden method for solving systems of nonlinear equations with operator decomposition is studied in this paper. A local convergence analysis is provided under classical Lipschitz conditions and results of numerical experiments are presented. The effectiveness of this method in solving various types of nonlinear systems is demonstrated.
Publisher
Ivan Franko National University of Lviv