한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제18권3호
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  • Pages.219-230
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  • 2011
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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ON THE RADIUS OF CONVERGENCE OF SOME NEWTON-TYPE METHODS IN BANACH SPACES

  • Argyros, Ioannis K. (Cameron university, Department of Mathematics Sciences) ;
  • Hilout, Said (Poitiers university, Laboratoire de Mathematiques et Applications)
  • 투고 : 2010.09.22
  • 심사 : 2011.08.12
  • 발행 : 2011.08.31
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초록

We determine the radius of convergence for some Newton{type methods (NTM) for approximating a locally unique solution of an equation in a Banach space setting. A comparison is given between the radii of (NTM) and Newton's method (NM). Numerical examples further validating the theoretical results are also provided in this study.

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참고문헌

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