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dc.contributor.authorVasin, V.
dc.contributor.authorGeorge, S.
dc.date.accessioned2020-03-31T06:51:35Z-
dc.date.available2020-03-31T06:51:35Z-
dc.date.issued2014
dc.identifier.citationApplied Mathematics and Computation, 2014, Vol.230, , pp.406-413en_US
dc.identifier.uri10.1016/j.amc.2013.12.104
dc.identifier.urihttp://idr.nitk.ac.in/jspui/handle/123456789/9851-
dc.description.abstractIn this paper we consider the Lavrentiev regularization method and a modified Newton method for obtaining stable approximate solution to nonlinear ill-posed operator equations F(x)=y where F:D(F)?X?X is a nonlinear monotone operator or F?(x0) is nonnegative selfadjoint operator defined on a real Hilbert space X. We assume that only a noisy data y??X with ?y- y???? are available. Further we assume that Fr chet derivative F? of F satisfies center-type Lipschitz condition. A priori choice of regularization parameter is presented. We proved that under a general source condition on x0-x?, the error ?x?-xn,??? between the regularized approximation xn,??(x0,??;=x0) and the solution x? is of optimal order. In the concluding section the algorithm is applied to numerical solution of the inverse gravimetry problem. 2013 Elsevier Inc. All rights reserved.en_US
dc.titleAn analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problemsen_US
dc.typeArticleen_US
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