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

Alicia Cordero | Zendy; Juan R. Torregrosa | Zendy; P. Vindel | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Alicia Cordero,

Juan R. Torregrosa,

P. Vindel

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/536910

Subject(s) - mathematics , chebyshev polynomials , parameter space , quadratic equation , chebyshev filter , space (punctuation) , parametric statistics , mathematical analysis , component (thermodynamics) , pure mathematics , geometry , statistics , philosophy , linguistics , physics , thermodynamics

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research