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Maximum entropy method for solving operator equations of the first kind

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Abstract

The maximum entropy method for linear ill-posed problems with modeling error and noisy data is considered and the stability and convergence results are obtained. When the maximum entropy solution satisfies the “source condition”, suitable rates of convergence can be derived. Considering the practical applications, ana posteriori choice for the regularization parameter is presented. As a byproduct, a characterization of the maximum entropy regularized solution is given.

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Authors and Affiliations

  1. Institute of Mathematics, Fudan University, 200433, Shanghai, China

    Qinian Jin & Zongyi Hou

Authors
  1. Qinian Jin
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  2. Zongyi Hou
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Jin, Q., Hou, Z. Maximum entropy method for solving operator equations of the first kind. Sci. China Ser. A-Math. 40, 483–493 (1997). https://doi.org/10.1007/BF02896956

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  • DOI: https://doi.org/10.1007/BF02896956

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