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Numerical aspects of the nonstationary modified linearized Bregman algorithm

Author

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  • Buccini, Alessandro
  • Park, Yonggi
  • Reichel, Lothar

Abstract

The solution of discrete ill-posed problems has been a subject of research for many years. Among the many methods described in the literature, the Bregman algorithm has attracted a great deal attention and been widely investigated. Recently, a nonstationary preconditioned version of this algorithm, referred to as the nonstationary modified linearized Bregman algorithm, was proposed. The aim of this paper is to discuss numerical aspects of this algorithm and to compare computed results with known theoretical properties. We also discuss the effect of several parameters required by the algorithm on the computed solution.

Suggested Citation

  • Buccini, Alessandro & Park, Yonggi & Reichel, Lothar, 2018. "Numerical aspects of the nonstationary modified linearized Bregman algorithm," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 386-398.
    • Handle: RePEc:eee:apmaco:v:337:y:2018:i:c:p:386-398
    DOI: 10.1016/j.amc.2018.05.044
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    References listed on IDEAS

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    1. M. Hanke & C. W. Groetsch, 1998. "Nonstationary Iterated Tikhonov Regularization," Journal of Optimization Theory and Applications, Springer, vol. 98(1), pages 37-53, July.
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