Dynamics of a family of Chebyshev-Halley
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Título
Dynamics of a family of Chebyshev-HalleyFecha de publicación
2013-04-15xmlui.dri2xhtml.METS-1.0.item-edition
PreprintEditor
ElsevierCita bibliográfica
CORDERO, 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 8568–8583Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0096300313001732Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
In 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 ... [+]
In 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 method [-]
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Applied Mathematics and Computation, Volume 219, Issue 16 (15 April 2013)Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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