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Numerical Algorithms

, Volume 73, Issue 1, pp 141–156 | Cite as

Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family

  • Beatriz Campos
  • Alicia Cordero
  • Juan R. Torregrosa
  • Pura Vindel
Original Paper

Abstract

The study of the dynamical behaviour of the operators defined by iterative methods help us to know more deeply the regions where these methods have a good performance. In this paper, we follow the dynamical study of a multipoint variant of the known Chebyshev-Halley’s family, showing the existence of attractive periodic orbits of period 2 for some values of the parameter.

Keywords

Iterative methods Complex dynamics Chebyshev-Halley’s family 2-periodic orbits 2-bulbs 

Mathematics Subject Classification (2010)

37F10 65H05 

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Instituto de Matemáticas y Aplicaciones de CastellónUniversitat Jaume ICastellónSpain
  2. 2.Instituto de Matemática MultidisciplinarUniversitat Politècnica de ValènciaValènciaSpain

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