Study of a High Order Family: Local Convergence and Dynamics

Autor: Cristina Amorós, Ioannis K. Argyros, Ruben González, Á. Alberto Magreñán, Lara Orcos, Íñigo Sarría
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Mathematics, Vol 7, Iss 3, p 225 (2019)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math7030225
Popis: The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a center-Lipschitz condition where the ball radii are greater than previous studies. We investigate the dynamics of the method. To validate the theoretical results obtained, a real-world application related to chemistry is provided.
Databáze: Directory of Open Access Journals
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