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Montazeri, H.; Soleymani, F.; Shateyi, S.; Motsa, S. S.

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

J. Appl. Math. 2012, Article ID 751975, 15 p. (2012).
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.

Cited in 31 Documents

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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