Abstract:
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.