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

Author

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  • H. Montazeri
  • F. Soleymani
  • S. Shateyi
  • S. S. Motsa

Abstract

We consider a system of nonlinear equations . 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.

Suggested Citation

  • H. Montazeri & F. Soleymani & S. Shateyi & S. S. Motsa, 2012. "On a New Method for Computing the Numerical Solution of Systems of Nonlinear Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, November.
    • Handle: RePEc:hin:jnljam:751975
    DOI: 10.1155/2012/751975
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    Cited by:

    1. Chun, Changbum & Neta, Beny, 2019. "Developing high order methods for the solution of systems of nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 178-190.
    2. Zhanlav, T. & Otgondorj, Kh., 2021. "Higher order Jarratt-like iterations for solving systems of nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 395(C).

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