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Non-convexly constrained linear inverse problems

Blumensath, T. (2009) Non-convexly constrained linear inverse problems Author's Original

Record type: Article

Abstract

This paper considers the inversion of ill-posed linear operators. To
regularise the problem the solution is enforced to lie in a non-convex subset. Theoretical
properties for the stable inversion are derived and an iterative algorithm akin to the
projected Landweber algorithm is studied. This work extends recent progress made on
the efficient inversion of finite dimensional linear systems under a sparsity constraint
to the Hilbert space setting and to more general non-convex constraints

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More information

Submitted date: November 2009
Organisations: Signal Processing & Control Grp

Identifiers

Local EPrints ID: 142493
URI: http://eprints.soton.ac.uk/id/eprint/142493
PURE UUID: 30af02d2-b967-4e53-b0b2-64f911699ae7

Catalogue record

Date deposited: 31 Mar 2010 16:03
Last modified: 18 Jul 2017 23:11

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