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DC Field | Value | Language |
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dc.contributor.author | Argyros, I.K. | - |
dc.contributor.author | George, S. | - |
dc.date.accessioned | 2020-03-31T08:30:57Z | - |
dc.date.available | 2020-03-31T08:30:57Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Communications on Applied Nonlinear Analysis, 2019, Vol.26, 2, pp.91-102 | en_US |
dc.identifier.uri | http://idr.nitk.ac.in/jspui/handle/123456789/11228 | - |
dc.description.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. | en_US |
dc.title | Extended semi-local convergence of Newton s method on lie groups using restricted regions | en_US |
dc.type | Article | en_US |
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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