On the choice of solution subspace for nonstationary iterated Tikhonov regularization (Q306369)

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scientific article; zbMATH DE number 6620992
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On the choice of solution subspace for nonstationary iterated Tikhonov regularization
scientific article; zbMATH DE number 6620992

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    On the choice of solution subspace for nonstationary iterated Tikhonov regularization (English)
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    31 August 2016
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    The authors propose and analyze iterative methods for the normal equation of Tikhonov regularization of large sparse linear least squares problems. They consider a partial Golub-Kahan bidiagonalization of the problem matrix and determine approximate solutions in the associated Krylov subspace. Numerical experiments are also provided.
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    ill-posed problem
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    nonstationary iterated Tikhonov regularization
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    Golub-Kahan bidiagonalization
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    Arnoldi process
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    Krylov subspace method
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    generalized Krylov subspace method
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    large sparse linear least squares problems
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    numerical experiments
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