충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제24권2호
  • /
  • Pages.141-146
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  • 2011
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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A NOTE ON THE PAPER TITLED SOME VARIANTS OF OSTROWSKI'S METHOD WITH SEVENTH-ORDER CONVERGENCE

  • 투고 : 2010.10.14
  • 심사 : 2011.03.04
  • 발행 : 2011.06.30
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초록

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.

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참고문헌

  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.