Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations

作者:Ullah Malik Zaka*; Al Fhaid A S; Ahmad Fayyaz
来源:Journal of Applied Mathematics, 2013, 850365.
DOI:10.1155/2013/850365

摘要

We present an iterative method for solving nonlinear equations. The proposed iterative method has optimal order of convergence sixteen in the sense of Kung-Traub conjecture (Kung and Traub, 1974); it means that the iterative scheme uses five functional evaluations to achieve 16(=2(5-1)) order of convergence. The proposed iterative method utilizes one derivative and four function evaluations. Numerical experiments are made to demonstrate the convergence and validation of the iterative method.

  • 出版日期2013