Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms

Publication: Research - peer-reviewJournal article – Annual report year: 2012

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We give a detailed study of the semiconverg ence 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. © 2012 Society for Industrial and Applied Mathematics.
Original languageEnglish
JournalS I A M Journal on Scientific Computing
Publication date2012
Volume34
Journal number4
PagesA2000-A2017
ISSN1064-8275
DOIs
StatePublished

Bibliographical note

© 2012 Society for Industrial and Applied Mathematics

CitationsWeb of Science® Times Cited: 1

Keywords

  • Algorithms, Parameter estimation, Tomography, Iterative methods, Projected Landweber iteration, Simultaneous iterative reconstruction technique, Relaxation parameters, Semiconvergence, Nonnegativity constraints, Tomographic imaging
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