Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms

Tommy Elfving, Per Christian Hansen, Touraj Nikazad

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    Abstract

    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
    Volume34
    Issue number4
    Pages (from-to)A2000-A2017
    ISSN1064-8275
    DOIs
    Publication statusPublished - 2012

    Bibliographical note

    © 2012 Society for Industrial and Applied Mathematics

    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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