Dynamics of a family of Chebyshev-Halley
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadades
Títol
Dynamics of a family of Chebyshev-HalleyData de publicació
2013-04-15xmlui.dri2xhtml.METS-1.0.item-edition
PreprintEditor
ElsevierCita bibliogràfica
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 8568–8583Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0096300313001732Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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 [-]
Publicat a
Applied Mathematics and Computation, Volume 219, Issue 16 (15 April 2013)Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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