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Accelerated landweber iteration with convex penalty for linear inverse problems in Banach spaces

Hegland, Markus; Jin, Qinian; Wang, Wei


In recent years, Landweber iteration has been extended to solve linear inverse problems in Banach spaces by incorporating non-smooth convex penalty functionals to capture features of solutions. This method is known to be slowly convergent. However, because it is simple to implement, it still receives a lot of attention. By making use of the subspace optimization technique, we propose an accelerated version of Landweber iteration with non-smooth convex penalty which significantly speeds up the...[Show more]

CollectionsANU Research Publications
Date published: 2015-03-04
Type: Journal article
Source: Applicable Analysis: An International Journal
DOI: 10.1080/00036811.2014.912751


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