DYNAMICAL ANALYSIS TO EXPLAIN THE NUMERICAL ANOMALIES IN THE FAMILY OF ERMAKOV-KALITLIN TYPE METHODS

DOI10.3846/mma.2019.021zbMath1470.65097OpenAlexW2941095492WikidataQ128028919 ScholiaQ128028919MaRDI QIDQ4959443

Pura Vindel, Alicia Cordero, Juan Ramón Torregrosa Sánchez

Publication date: 13 September 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2019.021

zbMATH Keywords

critical pointsiterative methodscomplex dynamicsnonlinear problemsdynamical and parameter planes

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• AN OPTIMAL FAMILY OF EIGHTH-ORDER ITERATIVE METHODS WITH AN INVERSE INTERPOLATORY RATIONAL FUNCTION ERROR CORRECTOR FOR NONLINEAR EQUATIONS
• On the dynamics of a family of third-order iterative functions
• Dynamics in One Complex Variable. (AM-160)
• A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative

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