Iterative exponential filtering for large discrete ill-posed problems

@article{Calvetti1999IterativeEF,
  title={Iterative exponential filtering for large discrete ill-posed problems},
  author={Daniela Calvetti and Lothar Reichel and Qin Zhang},
  journal={Numerische Mathematik},
  year={1999},
  volume={83},
  pages={535-556}
}
We describe a new iterative method for the solution of large, very ill-conditioned linear systems of equations that arise when discretizing linear ill-posed problems. The right-hand side vector represents the given data and is assumed to be contaminated by measurement errors. Our method applies a lter function of the form ' (t) := 1 ?exp(?t 2) with the purpose of reducing the innuence of the errors in the right-hand side vector on the computed approximate solution of the linear system. Here is… CONTINUE READING

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