Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations

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DC Field	Value	Language
dc.contributor.author	George, S.
dc.contributor.author	Shobha, M.E.
dc.date.accessioned	2020-03-31T08:38:50Z	-
dc.date.available	2020-03-31T08:38:50Z	-
dc.date.issued	2014
dc.identifier.citation	Journal of Applied Mathematics and Computing, 2014, Vol.44, 43862, pp.69-82	en_US
dc.identifier.uri	http://idr.nitk.ac.in/jspui/handle/123456789/12232	-
dc.description.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.	en_US
dc.title	Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations	en_US
dc.type	Article	en_US
Appears in Collections:	1. Journal Articles

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