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http://idr.nitk.ac.in/jspui/handle/123456789/11119
Title: | Expanding the applicability of the Gauss-Newton method for convex optimization under restricted convergence domains and majorant conditions |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2017 |
Citation: | Nonlinear Functional Analysis and Applications, 2017, Vol.22, 1, pp.197-207 |
Abstract: | Using our new idea of restricted convergent domains, new semi-local convergence analysis of the Gauss-Newton method for solving convex composite optimization problems is presented. Our convergence analysis is based on a combination of a center-majorant and majorant function. The results extend the applicability of the Gauss-Newton method under the same computational cost as in earlier studies using a majorant function or Wang's condition or Lipchitz condition. The special cases and applications include regular starting points, Robinson's conditions, Smale's or Wang's theory. 2017 Kyungnam University Press. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11119 |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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7.EXPANDING THE APPLICABILITY.pdf | 483.96 kB | Adobe PDF | View/Open |
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