충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제25권4호
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  • Pages.669-676
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  • 2012
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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NOTE ON SOME THIRD-ORDER NONLINEAR SOLVERS FOR THE SOLUTION OF NONLINEAR EQUATIONS

  • Kim, Weonbae (Department of Mathematics, Daejin University) ;
  • Chun, Changbum (Department of Mathematics, Sungkyunkwan University) ;
  • Kim, Yong-Il (School of Liberal Arts, Korea University of Technology and Education)
  • 발행 : 2012.11.15
⟨ 이전 논문 다음 논문 ⟩

초록

In this note we extend one well-known iteration formula to derive new third-order methods for solving a nonlinear equation. The comparison with other methods is given.

키워드

참고문헌

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  3. V. Mamta, V. Kanwar, V.K. Kukreja and S. Singh, On a class of quadratically convergent iteration formulae, Appl. Math. Comput. 166 (2006), 633-637.
  4. S.Weerakoon and G.I. Fernando, A variant of Newton's method with accelerated third-order convergence, Appl. Math. Lett. 17 (2000), 87-93.
  5. M. Frontini and E. Sormani, Some variants of Newton's method with third-order convergence, J. Comput. Appl. Math. 140 (2003), 419-426. https://doi.org/10.1016/S0096-3003(02)00238-2
  6. H. H. H. Homeier, On Newton-type methods with cubic convergence, J. Comput. Appl. Math. 176 (2005), 425-432. https://doi.org/10.1016/j.cam.2004.07.027
  7. J. Kou, Y. Li and X. Wang, A modification of Newton method with third-order convergence, Appl. Math. Comput. 181 (2006), 1106-1111. https://doi.org/10.1016/j.amc.2006.01.076