Semi-convergence and relaxation parameters for a class of SIRT algorithms

Tommy Elfving, Touraj Nikazad, Per Christian Hansen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    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 (image reconstruction from projections).
    Original languageEnglish
    JournalElectronic Transactions on Numerical Analysis
    Volume37
    Pages (from-to)321-336
    ISSN1068-9613
    Publication statusPublished - 2010

    Keywords

    • Semi-convergence
    • Relaxation parameters
    • SIRT methods
    • Tomographic imaging
    • Cimmino and DROP iteration

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