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Vector Extrapolation Based Landweber Method for Discrete Ill-Posed Problems

Author

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  • Xi-Le Zhao
  • Ting-Zhu Huang
  • Xian-Ming Gu
  • Liang-Jian Deng

Abstract

Landweber method is one of the classical iterative methods for solving linear discrete ill-posed problems. However, Landweber method generally converges very slowly. In this paper, we present the vector extrapolation based Landweber method, which exhibits fast and stable convergence behavior. Moreover, a restarted version of the vector extrapolation based Landweber method is proposed for practical considerations. Numerical results are given to illustrate the benefits of the vector extrapolation based Landweber method.

Suggested Citation

  • Xi-Le Zhao & Ting-Zhu Huang & Xian-Ming Gu & Liang-Jian Deng, 2017. "Vector Extrapolation Based Landweber Method for Discrete Ill-Posed Problems," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-8, November.
    • Handle: RePEc:hin:jnlmpe:1375716
    DOI: 10.1155/2017/1375716
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    Cited by:

    1. Shahid Saleem & Shahbaz Ahmad & Junseok Kim, 2023. "Total Fractional-Order Variation-Based Constraint Image Deblurring Problem," Mathematics, MDPI, vol. 11(13), pages 1-26, June.

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