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https://idr.l1.nitk.ac.in/jspui/handle/123456789/11115
Title: | Expanding the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems |
Authors: | Argyros, I.K. Cho, Y.J. George, S. Xiao, Y.-B. |
Issue Date: | 2019 |
Citation: | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 2019, Vol.113, 3, pp.2813-2826 |
Abstract: | We expand the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of the nonlinear ill-posed problem presented in Jin and Hou (Numer Math 83:139 159, 1999) by weakening the conditions needed in Jin and Hou [13]. Using a center-type Lipschitz condition instead of a Lipschitz-type condition used in Jin and Hou [13], Scherzer et al. (SIAM J Numer Anal 30:1796 1838, 1993), we obtain a tighter convergence analysis. Numerical examples are presented to show that our results apply but earlier ones do not apply to solve equations. 2019, The Royal Academy of Sciences, Madrid. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11115 |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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7.Expanding the applicability.pdf | 277.85 kB | Adobe PDF | ![]() View/Open | |
31.Expanding the applicability of an a posteriori.pdf | 277.85 kB | Adobe PDF | ![]() View/Open |
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