Faculty Publications

Permanent URI for this communityhttps://idr.nitk.ac.in/handle/123456789/18736

Publications by NITK Faculty

Browse

Filters

20141

Settings

Author: search.filters.author.Erappa, M.E.Subject: search.filters.subject.Newton-Raphson method

Search Results

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations
    (2014) George, S.; Erappa, M.E.
    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 Fréchet 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.