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Dynamics of subfamilies of Ostrowski–Chun methods

dc.contributor.authorCampos, Beatriz
dc.contributor.authorVindel, Pura
dc.date.accessioned2020-11-09T11:42:53Z
dc.date.available2020-11-09T11:42:53Z
dc.date.issued2020-09-25
dc.identifier.citationCAMPOS, B.; VINDEL, P. Dynamics of subfamilies of Ostrowski–Chun methods. Mathematics and Computers in Simulation, vol. 181, p. 57-81.ca_CA
dc.identifier.issn0378-4754
dc.identifier.urihttp://hdl.handle.net/10234/190238
dc.description.abstractIn 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.ca_CA
dc.format.extent25 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfMathematics and Computers in Simulation, Volume 181, March 2021.ca_CA
dc.rights0378-4754/© 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rightsreserved. Licencia CC-BY-NC-NDca_CA
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectIterative methodsca_CA
dc.subjectOstrowski–Chunca_CA
dc.subjectBiparametric familiesca_CA
dc.subjectDynamical studyca_CA
dc.titleDynamics of subfamilies of Ostrowski–Chun methodsca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1016/j.matcom.2020.09.018
dc.relation.projectIDPGC2018-095896-B-C22 (MCIU/AEI/FEDER/UE), UJI-B2019-18, PROMETEO/2016/089.79ca_CA
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://www.sciencedirect.com/science/article/pii/S0378475420303281ca_CA
dc.date.embargoEndDate2022-09-25
dc.type.versioninfo:eu-repo/semantics/acceptedVersionca_CA


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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