An Efficient Derivative Free Iterative Method for Solving Systems of Nonlinear Equations

@inproceedings{Sharma2013AnED,
  title={An Efficient Derivative Free Iterative Method for Solving Systems of Nonlinear Equations},
  author={Janak Raj Sharma and Himani Arora},
  year={2013}
}
We present a derivative free method of fourth order convergence for solving systems of nonlinear equations. The method consists of two steps of which first step is the well-known Traub’s method. First-order divided difference operator for functions of several variables and direct computation by Taylor’s expansion are used to prove the local convergence order. Computational efficiency of new method in its general form is discussed and is compared with existing methods of similar nature. It is… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 25 references

A family of Steffensen type methods with seventh-order convergence

  • X. Wang, T. Zhang
  • Numer. Algor.,
  • 2013
3 Excerpts

Petković : On generalized multipoint rootsolvers with memory

  • M. S. J. Džunić
  • J . Comput . Appl . Math .
  • 2012

Steffensen : Remarks on iteration

  • F. J.
  • Appl . Math . Comput .
  • 2012

Petković : Families of optimal multipoint methods for solving nonlinear equations : a survey

  • L. D. M. S. Petković
  • SIAM J . Numer . Anal .
  • 2011

Petković: A family of two-point methods with memory for solving nonlinear equations

  • M. S. Petković, L.D.J. Džunić
  • Appl. Anal. Discrete Math.,
  • 2011
1 Excerpt

Petković: Remarks on “On a general class of multipoint root-finding methods of high computational efficiency

  • M S.
  • SIAM J. Numer. Anal.,
  • 2011
2 Excerpts

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