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Anomalies in the convergence of Traub‐type methods with memory

Autor: 
Chicharro, Francisco Israel
;
Cordero, Alicia
;
Garrido, Neus
;
Torregrosa, Juan Ramón
Fecha: 
06/08/2019
Palabra clave: 
Revista / editorial: 
Computational and Mathematical Methods
Citación: 
Chicharro, FI, Cordero, A, Garrido, N, Torregrosa, JR. Anomalies in the convergence of Traub‐type methods with memory. Comp and Math Methods. 2019;e1060.
Tipo de Ítem: 
article
URI: 
https://reunir.unir.net/handle/123456789/9531
DOI: 
https://doi.org/10.1002/cmm4.1060
Dirección web: 
https://onlinelibrary.wiley.com/doi/full/10.1002/cmm4.1060
Resumen:
The stability analysis of a new family of iterative methods with memory isintroduced. This family, designed from Traub's method, allows to add memorythrough the introduction of an accelerating parameter. Hence, the speed of con-vergence of the iterative method increases up to 3.30, with no new functionalevaluations. A dynamical study of the proposed family on quadratic polynomialsis presented obtaining interesting qualitative properties.
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