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On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

We study the possibility of using the structure of the regularization error for a posteriori choice of the regularization parameter. As a result, a rather general form of a selection criterion is proposed, and its relation to the heuristical quasi-optimality principle of Tikhonov and Glasko [Z. Vychisl. Mat. Mat. Fiz., …