On the election of the damped parameter of a two-step relaxed Newton-type method
Autor:
Amat, Sergio
Busquier, Sonia
Bermúdez, Concepción
Magreñán, Á. Alberto (UNIR)
Fecha:
04/2016Palabra clave:
Tipo de Ítem:
Articulo Revista IndexadaResumen:
In this paper, we are interested to justified two typical hypotheses that appear in the convergence analysis, |λ|≤2|λ|≤2 and z0z0 sufficient close to z∗z∗ . In order to proof these ideas, the dynamics of a damped two-step Newton-type method for solving nonlinear equations and systems is presented. We present the parameter space for values of the damping factor in the complex plane, focusing our attention in such values for which the fixed points related to the roots are attracting. Moreover, we study the stability of the strange fixed points, showing that there exists attracting cycles and chaotical behavior for some choices of the damping factor.
Este ítem aparece en la(s) siguiente(s) colección(es)
Ítems relacionados
Mostrando ítems relacionados por Título, autor o materia.
-
Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators
Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto (UNIR) (Algorithms, 09/2015)This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution ... -
Wavelets for the Maxwell's equations: An overview
Amat, Sergio; Blázquez, Pedro J (UNIR); Busquier, Sonia; Bermúdez, Concepción (Journal of Computational and Applied Mathematics, 09/2017)In recent years wavelets decompositions have been widely used in computational Maxwell’s curl equations, to effectively resolve complex problems. In this paper, we review different types of wavelets that we can consider, ... -
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions
Amat, Sergio (UNIR); Argyros, Ioannis K; Busquier, Sonia; 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 ...
