On a New Method for Computing the Numerical Solution of Systems of Nonlinear Equations

الملخص EN

We consider a system of nonlinear equations F(x)=0.

A new iterative method for solving this problem numerically is suggested.

The analytical discussions of the method are provided to reveal its sixth order of convergence.

A discussion on the efficiency index of the contribution with comparison to the other iterative methods is also given.

Finally, numerical tests illustrate the theoretical aspects using the programming package Mathematica.