Bulbs of Period Two in the Family of Chebyshev-Halley Iterative Methods on Quadratic Polynomials

Alicia Cordero, Juan R. Torregrosa and Pura Vindel

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

Abstract:

The parameter space associated to the parametric family of Chebyshev-Halley on quadratic polynomials shows a dynamical richness worthy of study. This analysis has been initiated by the authors in previous works. Every value of the parameter belonging to the same connected component of the parameter space gives rise to similar dynamical behavior. In this paper, we focus on the search of regions in the parameter space that gives rise to the appearance of attractive orbits of period two.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2013/536910.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2013/536910.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:536910

DOI: 10.1155/2013/536910

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().