Please use this identifier to cite or link to this item: https://idr.l3.nitk.ac.in/jspui/handle/123456789/9859
Title: An application of newton type iterative method for lavrentiev regularization for ill-posed equations: Finite dimensional realization
Authors: George, S.
Pareth, S.
Issue Date: 2012
Citation: IAENG International Journal of Applied Mathematics, 2012, Vol.42, 3, pp.164-170
Abstract: In this paper, we consider, a finite dimensional realization of Newton type iterative method for Lavrentiev regularization of ill-posed equations. Precisely we consider the ill-posed equation F(x) = f when the available data is f ? with
f - f ?
? ? and the operator F: D(F) ? X ? X is a nonlinear monotone operator defined on a real Hilbert space X. The error estimate obtained under a general source condition on x 0 - x? (where x 0 is the initial guess and x? is the solution of F(x) = f) is of optimal order. The regularization parameter ? is chosen according to the adaptive method considered by Perverzev and Schock (2005). An example is provided to show the efficiency of the proposed method.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/9859
Appears in Collections:1. Journal Articles

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