BASINS OF ATTRACTIONS OF NEW ITERATIVE METHODS FOR FINDING SIMPLE ZEROS

Lidija Z. Rančić, Svetozar R. Rančić

DOI Number
https://doi.org/10.22190/FUMI240826056R
First page
843
Last page
849

Abstract


In this paper we present two new variants of Homeier’s iterative method for finding simple, real or complex, solution of nonlinear equations. Increasing the order of convergence from three to four is achieved by one additional term. Through many numerical examples, by classical and criteria based on basins of attraction, it is shown that the new methods can be competitive to other fourth-order methods.

Keywords

Homeier’s iterative method, nonlinear equations, order of convergence, basins of attraction.

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References


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DOI: https://doi.org/10.22190/FUMI240826056R

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