Period-doubling bifurcations in the family of Chebyshev-Halley-type methods
نویسندگان
چکیده
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 behaviors: attracting points that become doubled, other ones that become periodic orbits,... These are aspects to be avoided in an iterative procedure, so it is important to determinate the regions where this conduct take place.
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عنوان ژورنال:
- Int. J. Comput. Math.
دوره 90 شماره
صفحات -
تاریخ انتشار 2013