A new convergence analysis for the two-step Newton Method for order three

Authors

  • Ioannis K. Argyros Cameron University.
  • S. K. Khattri Stord Haugesund University College.

DOI:

https://doi.org/10.4067/S0716-09172013000100006

Keywords:

Two-step Newton method, Newton’s method, Banach space, Kantorovich hypothesis, Majorizing sequence, Lipschitz/centerLipschitz conditions.

Abstract

We present a tighter than before semilocal convergence analysis for the two-step Newton method of order three using recurrent functions.
Numerical examples are also provided to show that our convergence criteria are satisfied but earlier studies such as in nine, thirteen, fifteen are not satisfied.

References

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Published

2013-06-23

How to Cite

[1]
I. K. Argyros and S. K. Khattri, “A new convergence analysis for the two-step Newton Method for order three”, Proyecciones (Antofagasta, On line), vol. 32, no. 1, pp. 73-90, Jun. 2013.

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