Local convergence comparison between two novel sixth order methods for solving equations
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | deu |
| Published: |
Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
2019-03-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Subjects: | |
| Online Access: | https://studmath.up.krakow.pl/index.php/studmath/article/view/7635 |
| Summary: | 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. |
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| ISSN: | 2081-545X 2300-133X |