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Dynamical analysis on cubic polynomials of Damped Traub s method for approximating multiple roots

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Dynamical analysis on cubic polynomials of Damped Traub s method for approximating multiple roots

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Vázquez-Lozano, JE.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2018). Dynamical analysis on cubic polynomials of Damped Traub s method for approximating multiple roots. Applied Mathematics and Computation. 328:82-99. https://doi.org/10.1016/j.amc.2018.01.043

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/120344

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Title: Dynamical analysis on cubic polynomials of Damped Traub s method for approximating multiple roots
Author: Vázquez-Lozano, Juan Enrique Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Tecnología Nanofotónica - Institut Universitari de Tecnologia Nanofotònica
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] In this paper, the performance of a parametric family including Newton¿s and Traub¿s schemes on multiple roots is analyzed. The local order of convergence on nonlinear equations with multiple roots is studied as well ...[+]
Subjects: Nonlinear equations , Iterative methods , Multiple roots , Complex dynamics , Convergence regions
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied Mathematics and Computation. (issn: 0096-3003 )
DOI: 10.1016/j.amc.2018.01.043
Publisher:
Elsevier
Publisher version: http://doi.org/10.1016/j.amc.2018.01.043
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/
Thanks:
This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C2-2-P Spain and Generalitat Valenciana PROMETEO/2016/089 Spain
Type: Artículo

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