Accelerating the convergence of Newton-type iterations

Tugal Zhanlav; Ochbadrakh Chuluunbaatar; Vandandoo Ulziibayar

doi:10.33993/jnaat462-1105

Authors

Tugal Zhanlav Institute of Mathematics, National University of Mongolia, Mongolia
Ochbadrakh Chuluunbaatar Institute of Mathematics, National University of Mongolia, Mongolia, Joint Institute for Nuclear Research, Dubna, 141980 Moscow region, Russian Federation
Vandandoo Ulziibayar School of Applied Sciences, Mongolian University of Science and Technology, Mongolia

DOI:

https://doi.org/10.33993/jnaat462-1105

Keywords:

Newton-type iterations, accelerating procedure, convergence order, efficiency index

Abstract views: 451

Abstract

In this paper, we present a new accelerating procedure in order to speed up the convergence of Newton-type methods. In particular, we derive iterations with a high and optimal order of convergence. This technique can be applied to any iteration with a low order of convergence.

As expected, the convergence of the proposed methods was remarkably fast. The effectiveness of this technique is illustrated by numerical experiments.

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References

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