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Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates - MaRDI portal

Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates (Q1071480)

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scientific article; zbMATH DE number 3940630
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English
Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates
scientific article; zbMATH DE number 3940630

    Statements

    Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates (English)
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    1987
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    We propose a class of a posteriori parameter choice strategies for Tikhonov regularization (including variants of Morozov's and Arcangeli's methods) that lead to optimal convergence rates toward the minimal-norm least-squares solution of an ill-posed linear operator equation in the presence of noisy data.
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    a posteriori parameter choice strategies
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    Tikhonov regularization
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    optimal convergence rates
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    minimal-norm
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    least-square solution
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    ill- posed
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    noisy data
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    discrepancy principle
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