Convergence analysis for the two-step Newton method of order four

Ioannis K. Argyros; Sanjay K. Khattri

doi:10.33993/jnaat431-993

Authors

Ioannis K. Argyros Cameron University, USA
Sanjay K. Khattri Stord Haugesund University College, Norway

DOI:

https://doi.org/10.33993/jnaat431-993

Keywords:

two-step Newton method, Newton's method, Banach space, Kantorovich hypothesis, majorizing sequence, Lipschitz/center-Lipschitz condition

Abstract views: 290

Abstract

We provide a tighter than before convergence analysis for the two-step Newton method of order four using recurrent functions. Numerical examples are also provided in this study.

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References

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