Expanding the applicability of a Newton-Lavrentiev regularization method for ill-posed problems
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Date
2013
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Journal ISSN
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Publishing House of the Romanian Academy Calea 13 Septembrie nr. 13, Sector 5, 050711. P.O. Box 5-42, Bucuresti
Abstract
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]).
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Keywords
Hilbert space, Ill-posed problem, Lipschitz condition, Newton-lavrentiev regularization method, Semilocal convergence
Citation
Mathematica, 2013, 55, 2, pp. 103-111