Regularization Parameter Selection in Discrete Ill-Posed Problems - The Use of the U-Curve

@article{KrawczykStando2007RegularizationPS,
  title={Regularization Parameter Selection in Discrete Ill-Posed Problems - The Use of the U-Curve},
  author={Dorota Krawczyk-Stando and Marek Rudnicki},
  journal={Applied Mathematics and Computer Science},
  year={2007},
  volume={17},
  pages={157-164}
}
To obtain smooth solutions to ill-posed problems, the standard Tikhonov regularization method is most often used. For the practical choice of the regularization parameter α we can then employ the well-known L-curve criterion, based on the L-curve which is a plot of the norm of the regularized solution versus the norm of the corresponding residual for all valid regularization parameters. This paper proposes a new criterion for choosing the regularization parameter α, based on the so-called U… CONTINUE READING

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