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Author: search.filters.author.Argyros, I.K.Subject: search.filters.subject.Ill-posed problem

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    Expanding the applicability of a Newton-Lavrentiev regularization method for ill-posed problems
    (Publishing House of the Romanian Academy Calea 13 Septembrie nr. 13, Sector 5, 050711. P.O. Box 5-42, Bucuresti, 2013) Argyros, I.K.; George, S.
    We 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]).