Convergence and dynamical study of a new sixth order convergence iterative scheme for solving nonlinear systems

A novel family of iterative schemes to estimate the solutions of nonlinear systems is presented. It is based on the Ermakov-Kalitkin procedure, which widens the set of converging initial estimations. This class is designed by means of a weight function technique, obtaining 6th-order convergence. The...

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Bibliographic Details
Main Authors: Raudys R. Capdevila, Alicia Cordero, Juan R. Torregrosa
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023642?viewType=HTML