Expanding the Applicability of a Newton-lavrentiev Regularization Method for Ill-posed Problems
نویسنده
چکیده
We present a semilocal convergence analysis for a simplified NewtonLavrentiev regularization method for solving ill-posed problems in a Hilbert space setting. We use a center-Lipschitz instead of a Lipschitz condition in our convergence 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]). MSC 2010. 65H10, 65J20, 65J15, 65G99, 47H99, 49M15.
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تاریخ انتشار 2014