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**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 |

### Keywords:

numerical examples; system of nonlinear equations; iterative method; sixth order of convergence; efficiency index### Software:

Mathematica
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\textit{H. Montazeri} et al., J. Appl. Math. 2012, Article ID 751975, 15 p. (2012; Zbl 1268.65075)

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### References:

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