Please use this identifier to cite or link to this item: http://idr.nitk.ac.in/jspui/handle/123456789/10388
Title: Convergence of a Tikhonov Gradient Type-Method for Nonlinear Ill-Posed Equations
Authors: George, S.
Shubha, V.S.
Jidesh, P.
Issue Date: 2017
Citation: International Journal of Applied and Computational Mathematics, 2017, Vol.3, , pp.1205-1215
Abstract: In this study Tikhonov Gradient type-method is considered for nonlinear ill-posed operator equations. In our convergence analysis, we use hypotheses only on the first Frec?het derivative of F in contrast to the higher order Frec?het derivatives used in the earlier studies. We obtained optimal order error estimate by choosing the regularization parameter according to the adaptive method proposed by Pereverzev and Schock (SIAM J Numer Anal 43(5):2060 2076, 2005). 2017, Springer (India) Private Ltd.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/10388
Appears in Collections:1. Journal Articles

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