A Note on Some Higher-Order Iterative Methods Free from Second Derivative for Solving Nonlinear Equations

نویسندگان

  • Hani I. Siyyam
  • A. Noor
  • W. A. Khan
  • K. I. Noor
  • Eisa Al-Said
چکیده

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. Mathematics Subject Classification: 41A25, 65H05, 65K05

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تاریخ انتشار 2011