Kyungpook Mathematical Journal

  • 제50권1호
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  • Pages.7-14
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  • 2010
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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New Sixth-Order Improvements of the Jarratt Method

  • Kim, Yong-Il (School of Liberal Arts, Korea University of Technology and Education)
  • 투고 : 2009.08.27
  • 심사 : 2010.01.27
  • 발행 : 2010.03.31
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초록

In this paper, we construct some improvements of the Jarratt method for solving non-linear equations. A new sixth-order method are developed and numerical examples are given to support that the method obtained can compete with other sixth-order iterative methods.

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참고문헌

  1. Ostrowski, A.M., Solution of equations in Euclidean and Banach space, Academic Press, New York (1973).
  2. Jarratt, P., Some fourth order multipoint iterative methods for solving equations, Math. Comput., 20(95), 434-437 (1966). https://doi.org/10.1090/S0025-5718-66-99924-8
  3. Chun, C., Some improvements of Jarratt's method with sixth-order convergence, Appl. Math. Comput., 190, 1432-1437 (2007). https://doi.org/10.1016/j.amc.2007.02.023
  4. Gautschi, W., Numerical Analysis. Birkhauser, Boston (1997).
  5. Kim, Y. and Lee, J., Some higher order convergence iterative method improving the Jarratt method, submitted
  6. Kou, J., Li, Y. and Wang, X., An improvement of the Jarratt method, Appl. Math. Comput., 189, 1816-1821 ( 2007). https://doi.org/10.1016/j.amc.2006.12.062
  7. Ostrowski, A.M., Solution of equations in Euclidean and Banach space, Academic Press, New York (1973).
  8. Traub, J.F., Iterative Methods for the solution of equations. Chelsea, New York (1977).
  9. Wang, X., Kou, J. and Li, Y., A variant of Jarratt method with sixth-order convergence, Appl. Math. Comput., 204, 14-19 ( 2008). https://doi.org/10.1016/j.amc.2008.05.112