Solving Ill-Posed Linear Systems with GMRES and a Singular Preconditioner

DOI10.1137/110832793zbMath1263.65033OpenAlexW2026621690MaRDI QIDQ4918170

Lars Eldén, Valeria Simoncini

Publication date: 23 April 2013

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6cc31e090e143f34590b36c1f678c7b97d93d18b

zbMATH Keywords

linear systemGMRESill-posednearly singularsingular preconditioner

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Preconditioners for iterative methods (65F08)

Related Items (9)

Multistep matrix splitting iteration preconditioning for singular linear systems ⋮ On GMRES for Singular EP and GP Systems ⋮ Preconditioners for Krylov subspace methods: An overview ⋮ GMRES algorithms over 35 years ⋮ A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations ⋮ A generalized preconditioned parameterized inexact Uzawa method for singular saddle point problems ⋮ Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems ⋮ A GMRES Convergence Analysis for Localized Invariant Subspace Ill-Conditioning ⋮ A modified Tikhonov regularization method

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