Volume 13 | Number 1 | Year 2014 | Article Id. IJMTT-V13P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V13P503

This paper presents a new optimal fourth-order iterative methods for solving nonlinear equations f(x)=0. The proposed iterative methods are obtained by composing the fourth-order iterative family method proposed by King 1973 with the ellipse method described by Gupta et al.(1998), which is always defined even if the first directive of the function at a point is zero. The convergence analysis of the proposed iterative methods was performed. Several numerical examples are also considered to illustrate the efficiency and the accuracy of the proposed iterative methods.

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I.A. Al-Subaihi, "Optimal Fourth-Order Iterative Methods for Solving Nonlinear Equations," *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 13, no. 1, pp. 13-18, 2014. *Crossref*, https://doi.org/10.14445/22315373/IJMTT-V13P503