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Semi-convergence and relaxation parameters for a class of SIRT algorithms
Linköping University, Department of Mathematics, Scientific Computing. Linköping University, The Institute of Technology. (scientific computing)
Iran University of Science and Technology.
Technical University of Denmark.
2010 (English)In: Electronic Transactions on Numerical Analysis, ISSN 1068-9613, Vol. 37, 321-336 p.Article in journal (Refereed) Published
Abstract [en]

This paper is concerned with the Simultaneous Iterative Reconstruction Technique (SIRT) class of iterative methods for solving inverse problems. Based on a careful analysis of the semi-convergence behavior of these methods, we propose two new techniques to specify the relaxation parameters adaptively during the iterations, so as to control the propagated noise component of the error. The advantage of using this strategy for the choice of relaxation parameters on noisy and ill-conditioned problems is demonstrated with an example from tomography

Place, publisher, year, edition, pages
Kent State University Library , 2010. Vol. 37, 321-336 p.
Keyword [en]
SIRT methods, Cimmino and DROP iteration, semi-convergence, relaxation parameters, tomographic imaging
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-63223ISI: 000285976700021OAI: diva2:377104
Available from: 2010-12-13 Created: 2010-12-13 Last updated: 2011-03-11

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Elfving, Tommy
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