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https://idr.l2.nitk.ac.in/jspui/handle/123456789/10044
Title: | Ball convergence theorem for a Steffensen-type third-order method |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2017 |
Citation: | Revista Colombiana de Matematicas, 2017, Vol.51, 1, pp.1-14 |
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. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/10044 |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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8.Ball convergence theorem.pdf | 340.21 kB | Adobe PDF | View/Open |
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