Model Function Approach in the Modified L-curve Method for the Choice of Regularization Parameter

@inproceedings{Heng2009ModelFA,
  title={Model Function Approach in the Modified L-curve Method for the Choice of Regularization Parameter},
  author={Yi Li Heng and Lu Shuai and Adel Mhamdi and S. V. Pereverzev},
  year={2009}
}
The L-curve method is known as one of the most popular heuristic error-free regularization parameter choice rules in solving discrete ill-posed problems Ax = yδ. Meanwhile, an alternative method of the L-curve method, which we call it a modified L-curve method, is to find the minimizer of the functional Ψμ = ‖Ax(α)− yδ‖‖x(α)‖ where −1/μ is the slope of α∗ choesn by a logarithmic L-curve. In this paper we propose a model function approach in the modified L-curve method for the choice of a… CONTINUE READING

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