Local convergence comparison between two novel sixth order methods for solving equations

• Autorzy: Santhosh George , Ioannis K. Argyros
• Języki publikacji: EN

Abstrakty

EN

The aim of this article is to provide the local convergence analysis of two novel competing sixth convergence order methods for solving equations involving Banach space valued operators. Earlier studies have used hypotheses reaching up to the sixth derivative but only the first derivative appears in these methods. These hypotheses limit the applicability of the methods. That is why we are motivated to present convergence analysis based only on the first derivative. Numerical examples where the convergence criteria are tested are provided. It turns out that in these examples the criteria in the earlier works are not satisfied, so these results cannot be used to solve equations but our results can be used.

Słowa kluczowe

EN

Jarratt-like method; sixth order of convergence; local convergence; Banach space; Frechet-derivative

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2019
• Tom: 18
• Strony: 5-19

Daty

wydano

2019-03-16

Twórcy

autor

Santhosh George

• National Institute of Technology Karnataka

autor

Ioannis K. Argyros

• Department of Mathematical Sciences, Cameron University