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Anomalies in the convergence of Traub‐type methods with memory
(Computational and Mathematical Methods, 2019-08-06)
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 ...
On the choice of the best members of the Kim family and the improvement of its convergence
(Mathematical Methods in the Applied Sciences, 2020-09-30)
The best members of the Kim family, in terms of stability, are obtained by using complex dynamics. From this elements, parametric iterative methods with memory are designed. A dynamical analysis of the methods with memory ...