Please use this identifier to cite or link to this item: https://idr.l1.nitk.ac.in/jspui/handle/123456789/12232
Title: Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations
Authors: George, S.
Shobha, M.E.
Issue Date: 2014
Citation: Journal of Applied Mathematics and Computing, 2014, Vol.44, 43862, pp.69-82
Abstract: An iterative method is investigated for a nonlinear ill-posed Hammerstein type operator equation KF(x)=f. We use a center-type Lipschitz condition in our convergence analysis instead of the usual Lipschitz condition. The adaptive method of Pereverzev and Schock (SIAM J. Numer. Anal. 43(5):2060-2076, 2005) is used for choosing the regularization parameter. The optimality of this method is proved under a general source condition involving the Fr chet derivative of F at some initial guess x 0. A numerical example of nonlinear integral equation shows the efficiency of this procedure. 2013 Korean Society for Computational and Applied Mathematics.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/12232
Appears in Collections:1. Journal Articles

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