Study of a Biparametric Family of Iterative Methods
Magreñán, Á. Alberto (UNIR)
Torregrosa, Juan Ramón
Tipo de Ítem:Articulo Revista Indexada
The dynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the -iterative methods and the well-known Chebyshev-Halley family. We find the analytical expressions for the fixed and critical points by solving 6-degree polynomials. We use the free critical points to get the parameter planes and, by observing them, we specify some values of with clear stable and unstable behaviors.
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