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Convergence studies on block iterative algorithms for image reconstruction

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  • Guo, Xue-Ping

Abstract

The sequential block-iterative scheme based on Landweber’s method is a general iterative one for image reconstruction. In this paper, we give the finite termination convergence for this scheme, which provides an approach to choose relaxation coefficients. Furthermore, sufficient and necessary convergence conditions are also established for the sequential block-iterative scheme case.

Suggested Citation

  • Guo, Xue-Ping, 2016. "Convergence studies on block iterative algorithms for image reconstruction," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 525-534.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:525-534
    DOI: 10.1016/j.amc.2015.10.028
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    References listed on IDEAS

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    1. J. L. Goffin, 1980. "The Relaxation Method for Solving Systems of Linear Inequalities," Mathematics of Operations Research, INFORMS, vol. 5(3), pages 388-414, August.
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