Articulo Revista Indexada
Stability study of eighth-order iterative methods for solving nonlinear equations
Autor
Cordero, Alicia
Magreñán, Á. Alberto (1)
Quemada, Carlos
Torregrosa, Juan Ramón
Institución
Resumen
In this paper, we study the stability of the rational function associated to a known family of eighth-order iterative schemes on quadratic polynomials. The asymptotic behavior of the fixed points corresponding to the rational function is analyzed and the parameter space is shown, in which we find choices of the parameter for which there exists convergence to cycles or even chaotical behavior showing the complexity of the family. Moreover, some elements of the family with good stability properties are obtained.