Open AccessLocal convergence for a family of sixth order methods with parameters
Author(s) -
Christopher I. Argyros,
Michael I. Argyros,
Ioannis K. Argyros,
Santhosh George
Publication year - 2021
Publication title -
open journal of mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 2616-4906
pISSN - 2523-0212
DOI - 10.30538/oms2021.0166
Subject(s) - convergence (economics) , local convergence , contrast (vision) , mathematics , derivative (finance) , order (exchange) , banach space , real line , space (punctuation) , convergence tests , unconditional convergence , first order , normal convergence , computer science , compact convergence , mathematical analysis , mathematical optimization , rate of convergence , iterative method , key (lock) , artificial intelligence , economics , finance , financial economics , economic growth , computer security , operating system
Local convergence of a family of sixth order methods for solving Banach space valued equations is considered in this article. The local convergence analysis is provided using only the first derivative in contrast to earlier works on the real line using the seventh derivative. This way the applicability is expanded for these methods. Numerical examples complete the article.