Please use this identifier to cite or link to this item: https://idr.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

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