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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 ...
Generating Root-Finder Iterative Methods of Second Order: Convergence and Stability
(Axioms, 2019-05-06)
In this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, showing ...
Wide stability in a new family of optimal fourth-order iterative methods
(Blackwell Publishing Ltd, 2019)
A new family of two-steps fourth-order iterative methods for solving nonlinear equations is introduced based on the weight functions procedure. This family is optimal in the sense of Kung-Traub conjecture and it is extended ...