Dynamics of subfamilies of Ostrowski–Chun methods

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Google Scholar Scholar | Otros documentos de la autoría: Campos, Beatriz; Vindel, PuraMicrosoft Academico
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comunitat-uji-handle:10234/9

comunitat-uji-handle2:10234/173364

comunitat-uji-handle3:10234/173369

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Metadatos

Título
Dynamics of subfamilies of Ostrowski–Chun methods
Autoría
 Campos, BeatrizOrcidScopus;
 Vindel, PuraOrcidScopusResearcherID
Fecha de publicación
2020-09-25
Editor
Elsevier
URI
http://hdl.handle.net/10234/190238
DOI
https://doi.org/10.1016/j.matcom.2020.09.018
ISSN
0378-4754
Cita bibliográfica
CAMPOS, B.; VINDEL, P. Dynamics of subfamilies of Ostrowski–Chun methods. Mathematics and Computers in Simulation, vol. 181, p. 57-81.
Tipo de documento
info:eu-repo/semantics/article
Versión de la editorial
https://www.sciencedirect.com/science/article/pii/S0378475420303281
Versión
info:eu-repo/semantics/acceptedVersion
Palabras clave / Materias
Resumen
In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied onquadratic polynomials. We obtain the values of the parameters that reduce the ... [+]
In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied onquadratic polynomials. We obtain the values of the parameters that reduce the number of free critical points.We select the one-parametric subfamilies with only one free critical point and we carry out a dynamical study of thesesubfamilies. For each subfamily we study the parameter plane in order to consider which numerical methods are moreappropriate for solving nonlinear equations. [-]
Publicado en
Mathematics and Computers in Simulation, Volume 181, March 2021.
Proyecto de investigación
PGC2018-095896-B-C22 (MCIU/AEI/FEDER/UE), UJI-B2019-18, PROMETEO/2016/089.79
Derechos de acceso
0378-4754/© 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rightsreserved. Licencia CC-BY-NC-ND
info:eu-repo/semantics/openAccess
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0378-4754/© 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rightsreserved. Licencia CC-BY-NC-ND
Excepto si se señala otra cosa, la licencia del ítem se describe como: 0378-4754/© 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rightsreserved. Licencia CC-BY-NC-ND