Dynamics of subfamilies of Ostrowski–Chun methods

Thumbnail
View/Open
Versió Post-print de l'autor (3.917Mb)
Impact
Google Scholar Scholar | Other documents of the author: Campos, Beatriz; Vindel, PuraMicrosoft Academico
Share
Show METS | MarcXML
Export to
Export to Mendeley
Metadata
Show full item record

comunitat-uji-handle:10234/9

comunitat-uji-handle2:10234/173364

comunitat-uji-handle3:10234/173369

comunitat-uji-handle4:

INVESTIGACION

Metadata

Title
Dynamics of subfamilies of Ostrowski–Chun methods
Author (s)
 Campos, BeatrizOrcidScopus;
 Vindel, PuraOrcidScopusResearcherID
Date
2020-09-25
Publisher
Elsevier
URI
http://hdl.handle.net/10234/190238
DOI
https://doi.org/10.1016/j.matcom.2020.09.018
ISSN
0378-4754
Bibliographic citation
CAMPOS, B.; VINDEL, P. Dynamics of subfamilies of Ostrowski–Chun methods. Mathematics and Computers in Simulation, vol. 181, p. 57-81.
Type
info:eu-repo/semantics/article
Publisher version
https://www.sciencedirect.com/science/article/pii/S0378475420303281
Version
info:eu-repo/semantics/acceptedVersion
Subject
Abstract
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. [-]
Is part of
Mathematics and Computers in Simulation, Volume 181, March 2021.
Investigation project
PGC2018-095896-B-C22 (MCIU/AEI/FEDER/UE), UJI-B2019-18, PROMETEO/2016/089.79
Rights
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
This item appears in the folowing collection(s)

The following license files are associated with this item:

0378-4754/© 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rightsreserved. Licencia CC-BY-NC-ND
Except where otherwise noted, this item's license is described as 0378-4754/© 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rightsreserved. Licencia CC-BY-NC-ND