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On the behavior of chebyshev's method applied to cubic polynomials

Autor: 
Magreñán, Á. Alberto
;
García-Olivo, Martín
;
Gutiérrez, José M
Fecha: 
2014
Palabra clave: 
Revista / editorial: 
Civil-Comp Proceedings
Citación: 
Á.A. Magreñán, M. García-Olivo, J.M. Gutiérrez, "On the Behavior of Chebyshev's Method applied to Cubic Polynomials", in P. Iványi, B.H.V. Topping, (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 36, 2014. doi:10.4203/ccp.105.36
Tipo de Ítem: 
conferenceObject
URI: 
https://reunir.unir.net/handle/123456789/10396
DOI: 
https://doi.org/10.4203/ccp.105.36
Dirección web: 
https://www.ctresources.info/ccp/paper.html?id=8442
Resumen:
This paper shows the dynamical behavior of the well-known Chebyshev method when it is applied to cubic polynomials. We present the scaling theorem associated to the method and we study the real dynamics of the method. The convergence plane is used to obtain the same kind of information as from the Lyapunov exponents and Feigenbaum diagrams, and even more.
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