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Row and column based Iterations
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
2018 (English)In: Applied Analysis and Optimization, ISSN 2432-1656, Vol. 2, no 2, p. 219-236Article in journal (Other academic) Published
Abstract [en]

We survey old and more recent results on row- and column-action iterative methods for solving ill-conditioned linear systems. Our main application is in X-ray tomography problems with missing and/or noisy data. We consider the stationary case with cyclic control. A unified framework is presented the use of which allows deriving both necessary and sufficient convergence conditions for many of the methods presented.

Place, publisher, year, edition, pages
Yokohama Publishers, 2018. Vol. 2, no 2, p. 219-236
National Category
Computational Mathematics
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URN: urn:nbn:se:liu:diva-160889OAI: oai:DiVA.org:liu-160889DiVA, id: diva2:1360542
Available from: 2019-10-14 Created: 2019-10-14 Last updated: 2019-10-14Bibliographically approved

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Elfving, Tommy

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CiteExportLink to record
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