2024-03-29T08:12:00Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/905032023-03-01T13:25:16Zcom_10234_7037com_10234_9col_10234_8635
00925njm 22002777a 4500
dc
Cordero Barbero, Alicia
author
Torregrosa, Juan R.
author
Vindel, Pura
author
2013
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.
International Journal of Computer Mathematics Volume 90, Issue 10, 2013 Special Issue: COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCE
0020-7160
1029-0265
http://hdl.handle.net/10234/90503
http://dx.doi.org/10.1080/00207160.2012.745518
Numerical methods
Chebyshev–Halley methods
Bifurcations
Dynamics of numerical method
Period\-doubling bifurcation
Period-doubling bifurcations in the family of Chebyshev–Halley-type methods