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IMPROVED LOCAL CONVERGENCE ANALYSIS FOR A THREE POINT METHOD OF CONVERGENCE ORDER 1.839 ...
- Issue Date
- May-2019
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Banach space; three point method; divided difference of order one-two; radius of convergence; local convergence
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.56, no.3, pp 621 - 629
- Pages
- 9
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 56
- Number
- 3
- Start Page
- 621
- End Page
- 629
- ISSN
- 1015-8634
2234-3016
- Abstract
- 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.
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