On the dynamics of a family of third-order iterative functions

DOI10.1017/S1446181100003539zbMath1130.37043OpenAlexW2141413394MaRDI QIDQ5437203

Sonia Busquier, Sergio Amat, Sergio Plaza

Publication date: 18 January 2008

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100003539

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Dynamical systems in numerical analysis (37N30)

Related Items

A complex dynamical approach of Chebyshev's method ⋮ After notes on Chebyshev’s iterative method ⋮ Study of a biparametric family of iterative methods ⋮ Dynamics of a fifth-order iterative method ⋮ On the dynamics of the Euler iterative function ⋮ Period-doubling bifurcations in the family of Chebyshev–Halley-type methods ⋮ DYNAMICAL ANALYSIS TO EXPLAIN THE NUMERICAL ANOMALIES IN THE FAMILY OF ERMAKOV-KALITLIN TYPE METHODS ⋮ On the dynamics of some Newton's type iterative functions

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