AN EFFICIENT EIGHTH ORDER FAMILY OF ITERATIVE METHOD FOR SOLVING SYSTEMS OF NONLINEAR EQUATION

AN EFFICIENT EIGHTH ORDER FAMILY OF ITERATIVE METHOD FOR SOLVING SYSTEMS OF NONLINEAR EQUATION

Y. Saima , Z. Fiza

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Abstract

In this paper, we analyse the underlying computational cost as well as ap- plicability of the new iterative methods for real-life problems and illustrate that the new schemes produce approximations of greater numerical accuracy for solving nonlinear sys- tems. Basins of attraction are also given for some test problems to study the convergence regions.

Keywords

Iterative methods, system of nonlinear equations, optimal eighth order of convergence, computational cost, convergence regions.