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Dynamics of a family of Chebyshev-Halley

dc.contributor.authorCordero Barbero, Alicia
dc.contributor.authorTorregrosa, Juan R.
dc.contributor.authorVindel, Pura
dc.date.accessioned2014-06-03T10:30:50Z
dc.date.available2014-06-03T10:30:50Z
dc.date.issued2013-04-15
dc.identifier.citationCORDERO, A.; TORREGROSA, J. R..; VINDEL, P. Dynamics of a family of Chebyshev-Halley type methods. Applied Mathematics and Computation, Volume 219, Issue 16 (15 April 2013), Pages 8568–8583ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/94276
dc.description.abstractIn this paper, the dynamics of the Chebyshev–Halley family is studied on quadratic polynomials. A singular set, that we call cat set, appears in the parameter space associated to the family. This set has interesting similarities with the Mandelbrot set. The parameter space has allowed us to find different elements of the family which have bad convergence properties, since periodic orbits and attractive strange fixed points appear in the dynamical plane of the corresponding methodca_CA
dc.format.extent21 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfApplied Mathematics and Computation, Volume 219, Issue 16 (15 April 2013)ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/CNE/1.0/*
dc.subjectNonlinear equationsca_CA
dc.subjectIterative methodsca_CA
dc.subjectDynamical behaviorca_CA
dc.subjectQuadratic polynomialsca_CA
dc.subjectFatou and Julia setsca_CA
dc.subjectChebyshev–Halley methodca_CA
dc.subjectNon-convergence regionsca_CA
dc.titleDynamics of a family of Chebyshev-Halleyca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1016/j.amc.2013.02.042
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0096300313001732ca_CA
dc.editionPreprintca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersion


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