Period-doubling bifurcations in the family of Chebyshev–Halley-type methods
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadades
Títol
Period-doubling bifurcations in the family of Chebyshev–Halley-type methodsData de publicació
2013Editor
Taylor & FrancisISSN
0020-7160; 1029-0265Cita bibliogràfica
International Journal of Computer Mathematics Volume 90, Issue 10, 2013 Special Issue: COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCETipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.tandfonline.com/doi/abs/10.1080/00207160.2012.745518#.U06_2fl_sz4Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
International Journal of Computer Mathematics, 2013, vol. 90, no 10Drets d'accés
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
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
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