A Note on Traub’s Method for Systems of Nonlinear Equations

Traub’s method was extended here to systems of nonlinear equations and compared to Steffensen’s method. Even though Traub’s method is only of order 1.839 and not quadratic, it performed better in the 10 examples.

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Bibliographic Details
Published in:Mathematics (Basel) 2021-12, Vol.9 (23), p.3073
Main Author: Neta, Beny
Format: Article
Language:English
Subjects:
Accuracy
Conflicts of interest
derivative-free
efficiency
iterative methods
Mathematical analysis
Methods
Nonlinear equations
Nonlinear systems
stability
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Description
Summary:Traub’s method was extended here to systems of nonlinear equations and compared to Steffensen’s method. Even though Traub’s method is only of order 1.839 and not quadratic, it performed better in the 10 examples.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9233073