The Newtonian Operator and Global Convergence Balls for Newton’s Method

We obtain results of restricted global convergence for Newton’s method from ideas based on the Fixed-Point theorem and using the Newtonian operator and auxiliary points. The results are illustrated with a non-linear integral equation of Davis-type and improve the results previously given by the auth...

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Bibliographic Details
Main Authors: José A. Ezquerro, Miguel A. Hernández-Verón
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/7/1074