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(5 citation statements)

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“…An approach related to the L-curve, which still aims at finding the right balance between the regularization error and the perturbation error, was described in [14,209], where the estimated regularization parameter λ for (direct) Tikhonov regularization is obtained as the fixed point of the ratio between the residual norm r(x(λ)) and the solution norm x(λ) . This same strategy can be straightforwardly used to select a regularization parameter at each iteration k of hybrid projection methods, namely, by computing the fixed point λ k of the function…”

confidence: 99%

“…An approach related to the L-curve, which still aims at finding the right balance between the regularization error and the perturbation error, was described in [14,209], where the estimated regularization parameter λ for (direct) Tikhonov regularization is obtained as the fixed point of the ratio between the residual norm r(x(λ)) and the solution norm x(λ) . This same strategy can be straightforwardly used to select a regularization parameter at each iteration k of hybrid projection methods, namely, by computing the fixed point λ k of the function…”

confidence: 99%

“…Since we must optimize over several parameters, we propose to use a Gauss-Newton approach to solve (3.3). The Jacobian of the errors with respect to λ can be written as 1) . .…”

confidence: 99%

“…For example, a higher dimension L-curve is considered in [2], the discrepancy principle is discussed in [10,23,26], and an extension of GCV is described in [4]. In [1], the Regińska's parameter choice rule is generalized to the multi-parameter Tikhonov case.…”

mentioning

confidence: 99%

“…. The second possibility consists in slightly modifying the regularization term as proposed by Regińska or Viloche Bazán et al in Refs [23,24]…”

mentioning

confidence: 99%