A class of filtering superoptimal preconditioners for highly ill-conditioned linear systems

DOI10.1023/A:1021948319714zbMath1019.65027OpenAlexW26231308MaRDI QIDQ1860947

Claudio Estatico

Publication date: 8 September 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021948319714

zbMATH Keywords

regularizationnumerical examplesmatrix algebrapreconditioningconjugate gradient methodfilteringToeplitz matricesill conditioned linear systems

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

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Block band Toeplitz preconditioners derived from generating function approximations: analysis and applications ⋮ Acceleration of multiplicative iterative algorithms for image deblurring by duality maps in Banach spaces ⋮ Low complexity matrix projections preserving actions on vectors ⋮ Superoptimal approximation for unbounded symbols ⋮ Preconditioners for ill-posed Toeplitz matrices with differentiable generating functions ⋮ A classification scheme for regularizing preconditioners, with application to Toeplitz systems ⋮ Irregularization accelerates iterative regularization ⋮ Regularized fast multiple-image deconvolution for LBT

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