Krylov Subspace Based FISTA‐Type Methods for Linear Discrete Ill‐Posed Problems

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dc.contributor.authorBuccini, Alessandroen
dc.contributor.authorChen, Feien
dc.contributor.authorPasha, Mirjetaen
dc.contributor.authorReichel, Lotharen
dc.date.accessioned2025-02-13T13:51:36Zen
dc.date.available2025-02-13T13:51:36Zen
dc.date.issued2024-12-29en
dc.description.abstractSeveral iterative soft‐thresholding algorithms, such as FISTA, have been proposed in the literature for solving regularized linear discrete inverse problems that arise in various applications in science and engineering. These algorithms are easy to implement, but their rates of convergence may be slow. This paper describes novel approaches to reduce the computations required for each iteration by using Krylov subspace techniques. Specifically, we propose to impose sparsity on the coefficients in the representation of the computed solution in terms of a Krylov subspace basis. Several numerical examples from image deblurring and computerized tomography are used to illustrate the efficiency and accuracy of the proposed methods.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1002/nla.2610en
dc.identifier.eissn1099-1506en
dc.identifier.issn1070-5325en
dc.identifier.issue1en
dc.identifier.urihttps://hdl.handle.net/10919/124567en
dc.identifier.volume32en
dc.language.isoenen
dc.publisherWileyen
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectImage reconstructionen
dc.subjectKrylov subspaceen
dc.subjectProjected FISTAen
dc.titleKrylov Subspace Based FISTA‐Type Methods for Linear Discrete Ill‐Posed Problemsen
dc.title.serialNumerical Linear Algebra with Applicationsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
pubs.organisational-groupVirginia Techen
pubs.organisational-groupVirginia Tech/Scienceen
pubs.organisational-groupVirginia Tech/Science/Mathematicsen
pubs.organisational-groupVirginia Tech/All T&R Facultyen
pubs.organisational-groupVirginia Tech/Science/COS T&R Facultyen

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