A Procedure for Obtaining a Family of Iterative Formulas for Finding Zeros of Functions
Mathematica Moravica, Tome 14 (2010) no. 2.

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In this paper a family of iterative formulas for finding zeros of functions is obtained. The family includes the Laguerre method. All the methods of the family are cubically convergent for a simple zero. The superior behavior of Laguerre method when starting from the point $x_{k}$ for which $|x_{k}|$ is large, is also explained.
Mots-clés : Iterative formulas, approximative solutions of equations 
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Dragomir Simeunović. A Procedure for Obtaining a Family of Iterative Formulas for Finding Zeros of Functions. Mathematica Moravica, Tome 14 (2010) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2010_14_2_a0/