Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms

Tommy Elfving, Per Christian Hansen, Touraj Nikazad

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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
    Issue number4
    Pages (from-to)A2000-A2017
    Publication statusPublished - 2012

    Bibliographical note

    © 2012 Society for Industrial and Applied Mathematics


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


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