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Online veröffentlicht: 27. Jan. 2015
Seitenbereich: 21 - 31
DOI: https://doi.org/10.2478/jamsi-2014-0010
© Faculty of Natural Sciences, University of Saint Cyril and Metodius
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
The aim of the present paper is to introduce and investigate a new Open type variant of Newton's method for solving nonlinear equations. The order of convergence of the proposed method is three. In addition to numerical tests verifying the theory, a comparison of the results for the proposed method and some of the existing ones have also been given.