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https://idr.l3.nitk.ac.in/jspui/handle/123456789/11898
Title: | Local convergence for a family of sixth order Chebyshev-Halley -type methods in Banach space under weak conditions |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2018 |
Citation: | Khayyam Journal of Mathematics, 2018, Vol.4, 1, pp.1-12 |
Abstract: | We present a local convergence analysis for a family of super- Halley methods of high convergence order in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first and second Fr chet-derivative of the operator involved. Earlier studies use hypotheses up to the third Fr chet derivative. Numerical examples are also provided in this study. 2017 Khayyam Journal of Mathematics. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11898 |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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22.LOCAL CONVERGENCE FOR A FAMILY.pdf | 364.33 kB | Adobe PDF | View/Open |
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