The index function and Tikhonov regularization for ill-posed problems
نویسندگان
چکیده
منابع مشابه
The index function and Tikhonov regularization for ill-posed problems
In this paper, we study the regularizing properties of the conditional stability estimates in ill-posed problems. First, we analyze how conditional stability estimates occur, and which properties the corresponding index functions must obey. In addition, we adapt the convergence analysis for the Tikhonov regularization in Banach spaces where the difference between the approximated solution and t...
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1Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Singapore 2Institute of Mathematical Science, Fudan University, Shanghai, 200433, People’s Republic of China 3School of Mathematical Sciences, Fudan University, Shanghai 200433, People’s Republic of China 4Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai 2004...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2014
ISSN: 0377-0427
DOI: 10.1016/j.cam.2013.09.035