Morozov ’ s discrepancy principle for Tikhonov-type functionals with non-linear operators

@inproceedings{Anzengruber2009MorozovS,
  title={Morozov ’ s discrepancy principle for Tikhonov-type functionals with non-linear operators},
  author={Stephan W Anzengruber and Ronny Ramlau},
  year={2009}
}
In this paper we deal with Morozov’s discrepancy principle as an a-posteriori parameter choice rule for Tikhonov regularization with general convex penalty terms Ψ for non-linear inverse problems. It is shown that a regularization parameter α fulfilling the discprepancy principle exists, whenever the operator F satisfies some basic conditions, and that for suitable penalty terms the regularized solutions converge to the true solution in the topology induced by Ψ. It is illustrated that for this… CONTINUE READING
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