A Regularizing Levenberg-marquardt Scheme, with Applications to Inverse Groundwater Filtration Problems

@inproceedings{Hanke1997ARL,
  title={A Regularizing Levenberg-marquardt Scheme, with Applications to Inverse Groundwater Filtration Problems},
  author={Martin Hanke},
  year={1997}
}
The rst part of this paper studies a Levenberg-Marquardt scheme for nonlinear inverse problems where the corresponding Lagrange (or regularization) parameter is chosen from an inexact Newton strategy. While the convergence analysis of standard implementations based on trust region strategies always requires the invertibility of the Fr echet derivative of the nonlinear operator at the exact solution, the new Levenberg-Marquardt scheme is suitable for ill-posed problems as long as the Taylor… CONTINUE READING
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