Basin attractors for derivative-free methods to find simple roots of nonlinear equations

Beny Neta

doi:10.33993/jnaat492-1232

Authors

Beny Neta Naval Postgraduate School, USA https://orcid.org/0000-0002-7417-7496

DOI:

https://doi.org/10.33993/jnaat492-1232

Keywords:

Basin of attraction, derivative-free methods, simple roots, nonlinear equations

Abstract views: 234

Abstract

Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference. Clearly such method will need an additional starting value. Here we consider several derivative-free methods and compare them using the idea of basin of attraction.

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References

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