Regularization by projection in variable Hilbert scales

DOI10.1080/00036810701858185zbMath1141.65033OpenAlexW2036369379MaRDI QIDQ5457916

Peter Mathé, Nadine Schöne

Publication date: 10 April 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701858185

zbMATH Keywords

convergenceregularizationHilbert spacecondition numberprojection methodill-posed linear operator equationsgeneral source condition

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (8)

Designing truncated priors for direct and inverse Bayesian problems ⋮ On Self-regularization of Ill-Posed Problems in Banach Spaces by Projection Methods ⋮ Error bounds for spectral enhancement which are based on variable Hilbert scale inequalities ⋮ General regularization schemes for signal detection in inverse problems ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ A convergence analysis of regularization by discretization in preimage space ⋮ ON THE SELF-REGULARIZATION OF ILL-POSED PROBLEMS BY THE LEAST ERROR PROJECTION METHOD ⋮ DISCREPANCY SETS FOR COMBINED LEAST SQUARES PROJECTION AND TIKHONOV REGULARIZATION

Cites Work

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• Convergence rates for Tikhonov regularization based on range inclusions
• Convergence rates for Tikhonov regularization from different kinds of smoothness conditions
• The Lepskii principle revisited
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