Dynamical Analysis to Explain the NumericalAnomalies in the Family of Ermakov-KalitkinType Methods

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comunitat-uji-handle2:10234/173364

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Metadatos

Título
Dynamical Analysis to Explain the NumericalAnomalies in the Family of Ermakov-KalitkinType Methods
Autoría
 Cordero, Alicia;
 Torregrosa, Juan R.;
 Vindel, PuraOrcidScopusResearcherID
Fecha de publicación
2019
Editor
Vilnius Gediminas Technical University (VGTU) Press
URI
http://hdl.handle.net/10234/182840
DOI
https://doi.org/10.3846/mma.2019.021
Cita bibliográfica
Cordero, A., Torregrosa, J. R., & Vindel, P. (2019). Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitlin type methods. Mathematical Modelling and Analysis, 24(3), 335-350. https://doi.org/10.3846/mma.2019.021
Tipo de documento
info:eu-repo/semantics/article
Versión de la editorial
https://journals.vgtu.lt/index.php/MMA/article/view/5388
Versión
info:eu-repo/semantics/publishedVersion
Palabras clave / Materias
Resumen
In this paper, we study the dynamics of an iterative method based onthe Ermakov-Kalitkin class of iterative schemes for solving nonlinear equations. Asit was proven in ”A new family of iterative methods widening areas ... [+]
In this paper, we study the dynamics of an iterative method based onthe Ermakov-Kalitkin class of iterative schemes for solving nonlinear equations. Asit was proven in ”A new family of iterative methods widening areas of convergence,Appl. Math. Comput.”, this family has the property of getting good estimations ofthe solution when Newton’s method fails. Moreover, the set of converging startingpoints for several non-polynomial test functions was plotted and they showed to bewider in the case of proposed methods than in Newton’s case, for small values of theparameter. Now, we make a complex dynamical analysis of this parametric class inorder to justify the stability properties of this family. [-]
Publicado en
Mathematical Modelling and Analysis, Volume 24, Issue 3, 2019.
Proyecto de investigación
MTM2014-52016-C02-2-P ; PROMETEO/2016/089 ; P1.1B20115 -16
Derechos de acceso
info:eu-repo/semantics/openAccess
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Copyrightc©2019 The Author(s). Published by VGTU PressThis is an Open Access article distributed under the terms of the Creative Commons AttributionLicense (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Excepto si se señala otra cosa, la licencia del ítem se describe como: Copyrightc©2019 The Author(s). Published by VGTU PressThis is an Open Access article distributed under the terms of the Creative Commons AttributionLicense (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.