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https://idr.l1.nitk.ac.in/jspui/handle/123456789/11228
Title: | Extended semi-local convergence of Newton s method on lie groups using restricted regions |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2019 |
Citation: | Communications on Applied Nonlinear Analysis, 2019, Vol.26, 2, pp.91-102 |
Abstract: | We extend the applicability of Newton s method used to approximate a solution of a mapping involving Lie valued operators. Using our idea of the restricted convergence region, we locate a more precise set containing the Newton iterates leading to tighter majorizing sequences than before. This way and under the same computational cost as before, we show the semi-local convergence of Newton s method with the following advantages over earlier works: weaker sufficient convergence criteria, tighter error bounds on the distances involved and at least as precise information on the location of the solution. 2019, International Publications. All rights reserved. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11228 |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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15.Extended Semi-local Convergence.pdf | 114.43 kB | Adobe PDF | View/Open |
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