Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems

DOI10.1553/etna_vol51s412zbMath1437.65049OpenAlexW2990744319WikidataQ126652573 ScholiaQ126652573MaRDI QIDQ5218400

Andreas Neubauer

Publication date: 3 March 2020

Published in: ETNA - Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol51/abstract.php?vol=51&pages=412-431

zbMATH Keywords

(augmented) CGNE and GMRES-type methods

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (3)

Tensor Krylov subspace methods with an invertible linear transform product applied to image processing ⋮ Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure ⋮ Ill-posed problems and the conjugate gradient method: optimal convergence rates in the presence of discretization and modelling errors

Cites Work

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• Arnoldi methods for image deblurring with anti-reflective boundary conditions
• Implementations of range restricted iterative methods for linear discrete ill-posed problems
• R\(^3\)GMRES: including prior information in GMRES-type methods for discrete inverse problems
• On the regularizing properties of the GMRES method
• Enriched Krylov subspace methods for ill-posed problems
• Arnoldi decomposition, GMRES, and preconditioning for linear discrete ill-posed problems
• Augmented GMRES-type methods
• Solving Ill-Posed Linear Systems with GMRES and a Singular Preconditioner
• Methods of conjugate gradients for solving linear systems

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