New Eighth Order Numerical Technique for Solving Nonlinear Algebraic Equations

— This paper presents new iterative method of order eight for solving nonlinear algebraic equations. The method was derived based on the Taylor's series expansion and Halley's method. The convergence analysis of the new method was discussed and it has eighth order of convergence. Several numerical examples were given and show that the new method is comparable with the well-known existing methods of the same orde