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:
INVESTIGACIONMetadata
Title
Dynamics of a family of Chebyshev-HalleyDate
2013-04-15xmlui.dri2xhtml.METS-1.0.item-edition
PreprintPublisher
ElsevierBibliographic citation
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 8568–8583Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0096300313001732Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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 [-]
Is part of
Applied Mathematics and Computation, Volume 219, Issue 16 (15 April 2013)Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [751]