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Nonstationary iterated Tikhonov regularization in Banach spaces with uniformly convex penalty terms

Jin, Qinian; Zhong, Min

Description

We consider the nonstationary iterated Tikhonov regularization in Banach spaces which defines the iterates via minimization problems with uniformly convex penalty term. The penalty term is allowed to be non-smooth to include L1 and total variation (TV) like penalty functionals, which are significant in reconstructing special features of solutions such as sparsity and discontinuities in practical applications. We present the detailed convergence analysis and obtain the regularization property...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/29467
Source: Numerische Mathematik
DOI: 10.1007/s00211-013-0594-9

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