Period-doubling bifurcations in the family of Chebyshev–Halley-type methods
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چکیده
منابع مشابه
Period-doubling bifurcations in the family of Chebyshev-Halley-type methods
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 av...
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ژورنال
عنوان ژورنال: International Journal of Computer Mathematics
سال: 2013
ISSN: 0020-7160,1029-0265
DOI: 10.1080/00207160.2012.745518