Dynamical analysis on cubic polynomials of Damped Traub’s method for approximating multiple roots
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DOI: 10.1016/j.amc.2018.01.043
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References listed on IDEAS
- Cordero, Alicia & Ferrero, Alfredo & Torregrosa, Juan R., 2016. "Damped Traub’s method: Convergence and stability," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 119(C), pages 57-68.
- Geum, Young Hee & Kim, Young Ik & Neta, Beny, 2016. "A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 120-140.
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- José Ignacio Extreminana-Aldana & José Manuel Gutiérrez-Jiménez & Luis Javier Hernández-Paricio & María Teresa Rivas-Rodríguéz, 2021. "A Graphic Method for Detecting Multiple Roots Based on Self-Maps of the Hopf Fibration and Nullity Tolerances," Mathematics, MDPI, vol. 9(16), pages 1-22, August.
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Keywords
Nonlinear equations; Iterative methods; Multiple roots; Complex dynamics; Convergence regions;All these keywords.
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