An application of newton type iterative method for lavrentiev regularization for ill-posed equations: Finite dimensional realization

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dc.contributor.authorGeorge, S.
dc.contributor.authorPareth, S.
dc.date.accessioned2026-02-05T09:35:10Z
dc.date.issued2012
dc.description.abstractIn 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
dc.description.abstractf - f ?
dc.description.abstract? ? 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 <inf>0</inf> - x? (where x <inf>0</inf> 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.
dc.identifier.citationIAENG International Journal of Applied Mathematics, 2012, 42, 3, pp. 164-170
dc.identifier.issn19929978
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26965
dc.subjectAdaptive methods
dc.subjectIll posed problem
dc.subjectMonotone operators
dc.subjectNewton lavrentiev method
dc.subjectQuartic convergence
dc.subjectIterative methods
dc.subjectNonlinear equations
dc.titleAn application of newton type iterative method for lavrentiev regularization for ill-posed equations: Finite dimensional realization

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