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Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
Technical University of Denmark, Lyngby, Denmark.
Iran University of Science and Technology, Narmak, Tehran, Iran .
2012 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 34, no 4, A2000-A2017 p.Article in journal (Refereed) Published
Abstract [en]

We give a detailed study of the semiconvergence behavior of projected nonstationary simultaneous iterative reconstruction technique (SIRT) algorithms, including the projected Landweber algorithm. We also consider the use of a relaxation parameter strategy, proposed recently for the standard algorithms, for controlling the semiconvergence of the projected algorithms. We demonstrate the semiconvergence and the performance of our strategies by examples taken from tomographic imaging.

Place, publisher, year, edition, pages
Society for Industrial and Applied Mathematics , 2012. Vol. 34, no 4, A2000-A2017 p.
Keyword [en]
projected Landweber iteration, simultaneous iterative reconstruction technique, relaxation parameters, semiconvergence, nonnegativity constraints, tomographic imaging
National Category
Natural Sciences
URN: urn:nbn:se:liu:diva-85613DOI: 10.1137/110834640ISI: 000310475700007OAI: diva2:571888

Funding Agencies|Danish Research Council for Technology and Production Sciences|274-07-0065|

Available from: 2012-11-26 Created: 2012-11-26 Last updated: 2012-12-03

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