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Resumen de One-point Newton-type iterative methods: A unified point of view

Alicia Cordero, Cristina Jordán Lluch Árbol académico, Juan Ramón Torregrosa Sánchez Árbol académico

  • In this paper, a unified point of view that includes the most of one-point Newton-type iterative methods for solving nonlinear equations is introduced. A simple idea to design iterative methods with quadratic or cubic convergence is also described. This idea is extended to construct one-point iterative methods of order four. In addition, several numerical examples are given to illustrate and compare different known methods and some introduced by using this unifying idea.


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