Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations

Seventh-order iterative algorithm free from second derivative for solving algebraic nonlinear equations

A Family of Optimal Derivative Free Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations

In this paper, modification of Steffensen’s method with eight-order convergence is presented. We propose a family of optimal three-step methods with eight-order convergence for solving the simple roots of nonlinear equations by using the weight function and interpolation methods. Per iteration this method requires four evaluations of the function which implies that the efficiency index of the d...

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

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) ...

seventh-order iterative algorithm free from second derivative for solving algebraic nonlinear equations

seventh-order iterative algorithm free from second derivative for solving algebraic nonlinear equations

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