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

Author

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

Abstract

We consider a system of nonlinear equations F(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.

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, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:751975
    DOI: 10.1155/2012/751975
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    References listed on IDEAS

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    1. Michael Trott, 2006. "The Mathematica GuideBook for Numerics," Springer Books, Springer, number 978-0-387-28814-7, March.
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