Vector Extrapolation Based Landweber Method for Discrete Ill-Posed Problems

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

Mathematical Problems in Engineering, 2017, vol. 2017, 1-8

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1375716

DOI: 10.1155/2017/1375716

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