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IMPROVED LOCAL CONVERGENCE ANALYSIS FOR A THREE POINT METHOD OF CONVERGENCE ORDER 1.839 ...
- Argyros, Ioannis K.;
- Cho, Yeol Je;
- George, Santhosh
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0초록
In this paper, we present a local convergence analysis of a three point method with convergence order 1.839 ... 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
Banach space; three point method; divided difference of order one-two; radius of convergence; local convergence; SEMILOCAL CONVERGENCE; RECURRENCE RELATIONS
- 제목
- IMPROVED LOCAL CONVERGENCE ANALYSIS FOR A THREE POINT METHOD OF CONVERGENCE ORDER 1.839 ...
- 저자
- Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh
- 발행일
- 2019-05
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 56
- 호
- 3
- 페이지
- 621 ~ 629