Applied Information Technology with a Modified Sixth-Order Convergent Iterative Method for Nonlinear Equations

With the rapid development of applied information technology, nonlinear problems become an important research in the field of numerical analysis. In this paper, we mainly study the iterative method for solving nonlinear equations. We propose and analyze a modified Newton-type algorithm with six order of convergence for solving nonlinear equations. The method is free from second derivatives. The efficiency index of the presented method is 1.431, which is better than that of the classical Newton's method 1.414. Some numerical experiments demonstrate the performance of the presented algorithm.