Chalermwut Comemuang , Pairat Janngam
In this paper, we suggest and analyze some new sixteen-order iterative methods by using Householder’s method free from second derivative for solving nonlinear equations. Here we use a new and different technique for implementation of sixteen-order derivative of the function. The efficiency index equals 16^(1/6) ≈ 1.587. Numerical examples of the new methods are compared with other methods by exhibiting the effectiveness of the method presented in this paper.
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International Journal of Mathematics and Computer Science, 17(2022), no. 3, 1039–1049