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A fast nonstationary iterative method with convex penalty for inverse problems in Hilbert spaces

Jin, Qinian; Lu, Xiliang

Description

In this paper we consider the computation of approximate solutions for inverse problems in Hilbert spaces. In order to capture the special feature of solutions, non-smooth convex functions are introduced as penalty terms. By exploiting the Hilbert space structure of the underlying problems, we propose a fast iterative regularization method which reduces to the classical nonstationary iterated Tikhonov regularization when the penalty term is chosen to be the square of norm. Each iteration of the...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/69702
Source: Inverse Problems
DOI: 10.1088/0266-5611/30/4/045012

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