Expanding the applicability of a Newton-Lavrentiev regularization method for ill-posed problems

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:34:55Z
dc.date.issued2013
dc.description.abstractWe present a semilocal convergence analysis for a simplified Newton-Lavrentiev regularization method for solving ill-posed problems in a Hilbert space setting. We use a center-Lipschitz instead of a Lipschitz condition in our conver-gence analysis. This way we obtain: weaker convergence criteria, tighter error bounds and more precise information on the location of the solution than in earlier studies (such as [13]).
dc.identifier.citationMathematica, 2013, 55, 2, pp. 103-111
dc.identifier.issn12229016
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26843
dc.publisherPublishing House of the Romanian Academy Calea 13 Septembrie nr. 13, Sector 5, 050711. P.O. Box 5-42, Bucuresti
dc.subjectHilbert space
dc.subjectIll-posed problem
dc.subjectLipschitz condition
dc.subjectNewton-lavrentiev regularization method
dc.subjectSemilocal convergence
dc.titleExpanding the applicability of a Newton-Lavrentiev regularization method for ill-posed problems

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