Damped Traub’s method: Convergence and stability

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016 Spain English Publisher:Elsevier BVJournal:Mathematics and Computers in Simulation, volume 119, pages 57-68 (issn: 0378-4754,

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Authors: Alicia Cordero; Alfredo Ferrero; Juan R. Torregrosa;

doi: 10.1016/j.matcom.2015.08.012

Damped Traub’s method: Convergence and stability

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Abstract

[EN] In this paper, a parametric family including Newton's and Traub's iterative schemes is presented. Its local convergence and dynamical behavior on quadratic polynomials are studied. The analysis of fixed and critical points and the associated parameter plane show the dynamical richness of the family and allow us to find members of it with good numerical properties, as well as other ones with very unstable behavior. (C) 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

This research was supported by Ministerio de Economia y Competitividad MTM2014-52016-C2-02 and FONDOCYT 2014-1C1-088 Republica Dominicana.

Country

Spain

Related Organizations

Universitat Politècnica de València
Spain

Keywords

dynamical behavior, Iterative methods, Dynamical behavior, Convergence regions, Traub's family, nonlinear equations, iterative methods, Numerical computation of solutions to single equations, convergence regions, Nonlinear equations, MATEMATICA APLICADA

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