Local convergence for a family of sixth order methods with parameters | Zendy

Christopher I. Argyros | Zendy; Ioannis K. Argyros | Zendy; Santhosh George | Zendy

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Local convergence for a family of sixth order methods with parameters

Author(s) -

Christopher 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 , mathematics , derivative (finance) , contrast (vision) , banach space , order (exchange) , real line , space (punctuation) , unconditional convergence , convergence tests , compact convergence , mathematical analysis , computer science , mathematical optimization , rate of convergence , iterative method , key (lock) , computer security , finance , artificial intelligence , financial economics , economics , economic growth , 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.

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