Anomalies in the convergence of Traub‐type methods with memory
Autor:
Chicharro, Francisco Israel
Cordero, Alicia
Garrido, Neus
Torregrosa, Juan Ramón
Fecha:
06/08/2019Palabra clave:
Tipo de Ítem:
articleDirección web:
https://onlinelibrary.wiley.com/doi/full/10.1002/cmm4.1060Resumen:
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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