Please use this identifier to cite or link to this item: https://idr.l3.nitk.ac.in/jspui/handle/123456789/9585
Title: A derivative free iterative method for the implementation of Lavrentiev regularization method for ill-posed equations
Authors: Shubha, V.S.
George, S.
Jidesh, P.
Issue Date: 2015
Citation: Numerical Algorithms, 2015, Vol.68, 2, pp.289-304
Abstract: In this work, we develop a derivative free iterative method for the implementation of Lavrentiev regularization for approximately solving the nonlinear ill-posed operator equation F(x) = y. Convergence analysis shows that the method converges quadratically. Apart from being totally free of derivatives, the method, under a general source condition provide an optimal order error estimate. We use the adaptive method introduced in Pereverzyev and Schock (SIAM J. Numer. Anal. 43, 2060 2076, 2005) for choosing the regularization parameter. In the concluding section the method is applied to numerical solution of the inverse gravimetry problem. 2014, Springer Science+Business Media New York.
URI: 10.1007/s11075-014-9844-x
http://idr.nitk.ac.in/jspui/handle/123456789/9585
Appears in Collections:1. Journal Articles

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