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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Argyros, I.K. | - |
| dc.contributor.author | George, S. | - |
| dc.date.accessioned | 2020-03-31T08:18:33Z | - |
| dc.date.available | 2020-03-31T08:18:33Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | Revista Colombiana de Matematicas, 2017, Vol.51, 1, pp.1-14 | en_US |
| dc.identifier.uri | http://idr.nitk.ac.in/jspui/handle/123456789/10044 | - |
| dc.description.abstract | We present a local convergence analysis for a family of Steffensen- type third-order methods in order to approximate a solution of a nonlinear equation. We use hypothesis up to the first derivative in contrast to earlier studies such as [2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28] using hypotheses up to the fourth derivative. This way the applicability of these methods is extended under weaker hypothesis. More- over the radius of convergence and computable error bounds on the distances involved are also given in this study. Numerical examples are also presented in this study. | en_US |
| dc.title | Ball convergence theorem for a Steffensen-type third-order method | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | 1. Journal Articles | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 8.Ball convergence theorem.pdf | 340.21 kB | Adobe PDF |  View/Open |
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