On a novel fourth-order algorithm for solving systems of nonlinear equations.

*(English)*Zbl 1268.65072Summary: This paper focuses on solving systems of nonlinear equations numerically. We propose an efficient iterative scheme including two steps and fourth order of convergence. The proposed method does not require the evaluation of second- or higher-order Fréchet derivatives per iteration to proceed and to reach fourth-order of convergence. Finally, numerical results illustrate the efficiency of the method.

##### MSC:

65H10 | Numerical computation of solutions to systems of equations |

##### Keywords:

systems of nonlinear equations; iterative scheme; fourth order of convergence; numerical results
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\textit{D. K. R. Babajee} et al., J. Appl. Math. 2012, Article ID 165452, 12 p. (2012; Zbl 1268.65072)

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##### References:

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