In the recent paper [M. A. Noor, W. A. Khan, K. I. Noor and Eisa
Al-Said, Higher-order iterative methods free from second derivative for
solving nonlinear equations, International Journal of the Physical Sciences,
Vol. 6 (8) (2011), 1887-1893] several iterative methods for solving
nonlinear equations are presented. One of the methods is the three-step
iterative method given in Algorithm (2.10) in [1]. The authors claimed
that the order of convergence of that method is nine. In this paper, we
show that the method has only seventh order of convergence. Several
numerical examples are presented to confirm our theoretical results.