A parameter choice strategy for a multi-level augmentation method solving ill-posed operator equations

DOI10.1216/JIE-2008-20-4-569zbMath1172.65025OpenAlexW2046951210MaRDI QIDQ1001614

Zhongying Chen, Lihong Song, Ying Jiang, Hong-qi Yang

Publication date: 19 February 2009

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie-2008-20-4-569

zbMATH Keywords

convergencenumerical examplesHilbert spaceTikhonov regularization methoda posteriori parameter choice strategyill-posed linear operator equationsmulti-level augmentation method

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)

A Discretizing Levenberg-Marquardt Scheme for Solving Nonlinear Ill-Posed Integral Equations ⋮ A fast multilevel iteration method for solving linear ill-posed integral equations ⋮ Multi-projection methods for Fredholm integral equations of the first kind ⋮ A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations ⋮ On the parameter choice in the multilevel augmentation method ⋮ Heuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional space ⋮ A fast multiscale Galerkin method for the first kind ill-posed integral equations via iterated regularization ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations

Cites Work

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• On the regularizing properties of a full multigrid method for ill-posed problems
• A multilevel augmentation method for solving ill-posed operator equations
• Discretization strategy for linear ill-posed problems in variable Hilbert scales
• Wavelet-Galerkin methods for ill-posed problems

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