대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제56권3호
  • /
  • Pages.621-629
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  • 2019
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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IMPROVED LOCAL CONVERGENCE ANALYSIS FOR A THREE POINT METHOD OF CONVERGENCE ORDER 1.839…

  • Argyros, Ioannis K. (Department of Mathematical Sciences Cameron University) ;
  • Cho, Yeol Je (Department of Mathematics Education Gyeongsang National University) ;
  • George, Santhosh (Department of Mathematical and Computational Sciences National Institute of Technology Karnataka)
  • 투고 : 2018.05.02
  • 심사 : 2019.03.08
  • 발행 : 2019.05.31
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초록

In this paper, we present a local convergence analysis of a three point method with convergence order $1.839{\ldots}$ for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results.

키워드

Table 1. Comparison table

E1BMAX_2019_v56n3_621_t0001.png 이미지

참고문헌

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