## On a new method for computing the numerical solution of systems of nonlinear equations.(English)Zbl 1268.65075

Summary: We consider a system of nonlinear equations $$F(\mathbf{x}) = 0$$. 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.

### MSC:

 65H10 Numerical computation of solutions to systems of equations 65Y20 Complexity and performance of numerical algorithms

Mathematica
Full Text:

### References:

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