On the convergence of a higher order family of methods and its dynamics
Argyros, Ioannis K
Magreñán, Á. Alberto (UNIR)
Torregrosa, Juan Ramón
Tipo de Ítem:Articulo Revista Indexada
In this paper, we present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some anomalies are found in this family by means of studying the associated rational function. Parameter spaces are shown and the study of the stability of all the fixed points is presented.
Este ítem aparece en la(s) siguiente(s) colección(es)
Mostrando ítems relacionados por Título, autor o materia.
Argyros, Ioannis K; Cordero, Alicia; Magreñán, Á. Alberto (UNIR); Torregrosa, Juan Ramón (Applied Mathematics and Computation, 02/2015)We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case ...
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation Argyros, Ioannis K; Magreñán, Á. Alberto (UNIR); Orcos, Lara (UNIR) (Journal of Mathematical Chemistry, 08/2016)We present a local convergence analysis of a derivative free fourth order method with one parameter based on rational interpolation in order to approximate a locally unique root of a function. The method is optimal in the ...
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions Amat, S (UNIR); Argyros, Ioannis K; Busquier, S; Magreñán, Á. Alberto (UNIR) (Numerical Algorithms, 02/2017)We present a local convergence analysis of a two-point four parameter Jarratt-like method of high convergence order in order to approximate a locally unique solution of a nonlinear equation. In contrast to earlier studies ...