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Dynamics of a multipoint variant of Chebyshev-Halley's family

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Publication:1733458
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DOI10.1016/j.amc.2016.03.009zbMath1410.65148OpenAlexW2335541581MaRDI QIDQ1733458

Alicia Cordero, Juan Ramón Torregrosa Sánchez, Pura Vindel, Beatriz Campos

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.009

zbMATH Keywords

bifurcationsiterative methodscomplex dynamicsChebyshev-Halley's family


Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Iteration theory, iterative and composite equations (39B12)




Cites Work

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  • Different anomalies in a Jarratt family of iterative root-finding methods
  • On the convergence of an optimal fourth-order family of methods and its dynamics
  • Study of a biparametric family of iterative methods
  • Chaotic dynamics of a third-order Newton-type method
  • Chaos in King's iterative family
  • Dynamics of a family of Chebyshev-Halley type methods
  • Complex analytic dynamics on the Riemann sphere
  • Dynamics of the family of c-iterative methods
  • A family of chebyshev-halley type methods
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