Local Comparison between Two Ninth Convergence Order Algorithms for Equations

New family of Two-Parameters Iterative Methods for Non-Linear Equations with Fourth-Order Convergence

An Iterative Method with Ninth-Order Convergence for Solving Nonlinear Equations

In this paper, we first present a fifth-order iterative method, which is a variant of the double-Newton’s method. Based on this new method, we propose a ninth-order iterative method. In contrast to the doubleNewton’s method, the ninth-order method only needs one additional function evaluation per iteration, but the order of convergence increases five units. Numerical examples are given to show ...

new family of two-parameters iterative methods for non-linear equations with fourth-order convergence

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new family of two-parameters iterative methods for non-linear equations with fourth-order convergence

New iterative methods with seventh-order convergence for solving nonlinear equations

In this paper, seventh-order iterative methods for the solution ofnonlinear equations are presented. The new iterative methods are developed byusing weight function method and using an approximation for the last derivative,which reduces the required number of functional evaluations per step. Severalexamples are given to illustrate the eciency and the performance of the newiterative methods.