Period-doubling bifurcations in the family of Chebyshev–Halley-type methods
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Otros documentos de la autoría: Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura
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Título
Period-doubling bifurcations in the family of Chebyshev–Halley-type methodsFecha de publicación
2013Editor
Taylor & FrancisISSN
0020-7160; 1029-0265Cita bibliográfica
International Journal of Computer Mathematics Volume 90, Issue 10, 2013 Special Issue: COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCETipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.tandfonline.com/doi/abs/10.1080/00207160.2012.745518#.U06_2fl_sz4Versión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
The choice of a member of a parametric family of iterative methods is not always easy. The family of Chebyshev–Halley schemes is a good example of it. The analysis of bifurcation points of this family allows us to ... [+]
The choice of a member of a parametric family of iterative methods is not always easy. The family of Chebyshev–Halley schemes is a good example of it. The analysis of bifurcation points of this family allows us to define a real interval in which there exist several problematic behaviours: attracting points that become doubled, other ones that become periodic orbits, etc. These aspects should be avoided in an iterative procedure, so it is important to determine the regions where this conduct takes place. In this paper, we obtain that this family admits attractive 2-cycles in two different intervals, for real values of the parameter. [-]
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International Journal of Computer Mathematics, 2013, vol. 90, no 10Derechos de acceso
This is an Author's Original Manuscript of an article whose final and definitive form, the Version of Record, has been published in the International Journal of Computer Mathematics, 2013 [copyright Taylor & Francis], available online at: http://www.tandfonline.com/10.1080/00207160.2012.745518.
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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