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dc.contributor.authorGeorge, S.-
dc.date.accessioned2020-03-31T08:39:03Z-
dc.date.available2020-03-31T08:39:03Z-
dc.date.issued2010-
dc.identifier.citationJournal of Inverse and Ill-Posed Problems, 2010, Vol.18, 2, pp.133-146en_US
dc.identifier.urihttp://idr.nitk.ac.in/jspui/handle/123456789/12352-
dc.description.abstractIn this paper we consider regularized modified Newton's method for approximately solving the nonlinear ill-posed problem F(x) = y, where the right hand side is replaced by noisy data y?? Y with y - y?? ? and F : D(F) ? X ? Y is a nonlinear operator between Hilbert spaces X and Y. Under the assumption that Fr chet derivative F? of F is Lipschitz continuous, a choice of the regularization parameter and a stopping rule based on a majorizing sequence are presented. We prove that under a general source condition on , the error between the regularized approximation and the solution of optimal order. de Gruyter 2010.en_US
dc.titleOn convergence of regularized modified Newton's method for nonlinear ill-posed problemsen_US
dc.typeArticleen_US
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