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Nonstationary iterated Tikhonov regularization for ill-posed problems in Banach spaces

Jin, Qinian; Stals, Linda

Description

Nonstationary iterated Tikhonov regularization is an efficient method for solving ill-posed problems in Hilbert spaces. However, this method may not produce good results in some situations since it tends to oversmooth solutions and hence destroy special features such as sparsity and discontinuity. By making use of duality mappings and Bregman distance, we propose an extension of this method to the Banach space setting and establish its convergence. We also present numerical simulations which...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/67255
Source: Inverse Problems
DOI: 10.1088/0266-5611/28/10/104011

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