Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitlin type methods

Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitlin type methods

In this paper, we study the dynamics of an iterative method based on the Ermakov-Kalitkin class of iterative schemes for solving nonlinear equations. As it was proven in ”A new family of iterative methods widening areas of convergence, Appl. Math. Comput.”, this family has the property of getting g...

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Bibliographic Details
Main Authors: Alicia Cordero, Juan R. Torregrosa, Pura Vindel
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2019-04-01
Series:Mathematical Modelling and Analysis
Subjects:
nonlinear problems
iterative methods
complex dynamics
dynamical and parameter planes
critical points
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/5388

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/5388

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