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A parameter choice for minimizing the error bound of Tikhonov regularization method


Abstract


The paper considers posteriori strategies far choosing a parameter in a simplified in a simplified version of the Tikhonov regularization.An arror bound is minimized to select the parameter that regulates the smoothness of approximation in ill posed problems. The rate obtained in doing so is optimal for the first order andfor the iterated case.

DOI Code: 10.1285/i15900932v16n1p1

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