Extrapolation of Tikhonov and Lavrentiev regularization methods

  title={Extrapolation of Tikhonov and Lavrentiev regularization methods},
  author={Uno H{\"a}marik and Toomas Raus},
We consider solution of linear ill-posed problem Au = f by Tikhonov method and by Lavrentiev method. For increasing the qualification and accuracy of these methods we use extrapolation, taking for the approximate solution linear combination of n ≥ 2 approximations of Tikhonov or Lavrentiev methods with different parameters and with proper coefficients. If the solution u∗ belongs to R((A A)) and instead of f noisy data fδ with ‖fδ − f‖ ≤ δ are available, maximal guaranteed accuracy of Tikhonov… CONTINUE READING


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