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dc.contributor.authorGeorge, S.
dc.contributor.authorShobha, M.E.
dc.date.accessioned2020-03-31T08:38:50Z-
dc.date.available2020-03-31T08:38:50Z-
dc.date.issued2014
dc.identifier.citationJournal of Applied Mathematics and Computing, 2014, Vol.44, 43862, pp.69-82en_US
dc.identifier.urihttp://idr.nitk.ac.in/jspui/handle/123456789/12232-
dc.description.abstractAn 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.titleNewton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equationsen_US
dc.typeArticleen_US
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