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A NOTE ON THE PAPER TITLED SOME VARIANTS OF OSTROWSKI'S METHOD WITH SEVENTH-ORDER CONVERGENCE

  • Received : 2010.10.14
  • Accepted : 2011.03.04
  • Published : 2011.06.30

Abstract

Kou et al. presented a class of new variants of Ostrowski's method in their paper (J. of Comput. Appl. Math., 209(2007), pp.153-159) whose title is "Some variants of Ostrowski's method with seventh-order convergence". They proposed an incorrect error equation, although they showed a correct seventh-order of convergence. The main objective of this note is to establish the correct error equation of the method and confirm its validity via concrete numerical examples.

Keywords

References

  1. J. Kou, Y. Li and X. Wang, Some variants of Ostrowski's method with seventh- order convergence, Journal of Computational and Applied Mathematics 209 (2007), 153-159. https://doi.org/10.1016/j.cam.2006.10.073
  2. J. F. Traub, Iterative Methods for the Solution of Equations, Chelsea Publishing Company, 1982.
  3. S. Wolfram, The Mathematica Book, 4th ed., Cambridge University Press, 1999.