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Dynamics of subfamilies of Ostrowski–Chun methods

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  • Campos, B.
  • Vindel, P.

Abstract

In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied on quadratic polynomials. We obtain the values of the parameters that reduce the number of free critical points.

Suggested Citation

  • Campos, B. & Vindel, P., 2021. "Dynamics of subfamilies of Ostrowski–Chun methods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 57-81.
    • Handle: RePEc:eee:matcom:v:181:y:2021:i:c:p:57-81
    DOI: 10.1016/j.matcom.2020.09.018
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    References listed on IDEAS

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    1. Cordero, Alicia & Gutiérrez, José M. & Magreñán, Á. Alberto & Torregrosa, Juan R., 2016. "Stability analysis of a parametric family of iterative methods for solving nonlinear models," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 26-40.
    2. Young Ik Kim & Young Hee Geum, 2014. "A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, September.
    3. Behl, Ramandeep & Cordero, Alicia & Motsa, Sandile S. & Torregrosa, Juan R., 2015. "Construction of fourth-order optimal families of iterative methods and their dynamics," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 89-101.
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