Extending the radius of convergence for a class of Euler-Halley type methods

Santhosh George; Ioannis K Argyros

doi:10.33993/jnaat482-1115

Authors

Santhosh George National Institute of Technology Karnataka, India
Ioannis K Argyros Cameron University, USA

DOI:

https://doi.org/10.33993/jnaat482-1115

Keywords:

Euler-Halley method, Banach spaces, local convergence

Abstract views: 209

Abstract

The aim of this paper is to extend the radius of convergence and improve the ratio of convergence for a certain class of Euler-Halley type methods with one parameter in a Banach space. These improvements over earlier works are obtained using the same functions as before but more precise information on the location of the iterates. Special cases and examples are also presented in this study.

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References

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