%0 Journal Article
%T Three-step iterative methods with eighth-order convergence for solving nonlinear equations
%A Mashallah Matinfar
%A Mohammad Aminzadeh
%J Journal of Interpolation and Approximation in Scientific Computing
%D 2013
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2013/jiasc-00013
%X A family of eighth-order iterative methods for solution of nonlinear equations is presented. We propose an optimal three-step method with eight-order convergence for finding the simple roots of nonlinear equations by Hermite interpolation method. Per iteration of this method requires two evaluations of the function and two evaluations of its first derivative, which implies that the efficiency index of the developed methods is 1.682. Some numerical examples illustrate that the algorithms are more efficient and performs better than the other methods.
%K "">Nonlinear equation
%K Iterative method
%K Three-step
%K Convergence order
%K Efficiency index"/>
%U http://www.ispacs.com/journals/jiasc/2013/jiasc-00013/article.pdf