Lanczos-based exponential filtering for discrete ill-posed problems

DOI10.1023/A:1014899604567zbMath0997.65068OpenAlexW1589800220MaRDI QIDQ5961054

Lothar Reichel, Daniela Calvetti

Publication date: 23 April 2002

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014899604567

zbMATH Keywords

regularizationnumerical exampleslinear ill-posed problemsfilter functionlarge ill-conditioned systems of linear equationsregularizing iterative methodstruncated Lanczos decomposition

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10)

Related Items (14)

New matrix function approximations and quadrature rules based on the Arnoldi process ⋮ The structure of matrices in rational Gauss quadrature ⋮ Artificial time integration ⋮ Discrete processes and their continuous limits ⋮ Recursion relations for the extended Krylov subspace method ⋮ Functions and eigenvectors of partially known matrices with applications to network analysis ⋮ Estimating the error in matrix function approximations ⋮ Convergence rates for inverse-free rational approximation of matrix functions ⋮ Enhanced matrix function approximation ⋮ Extended and rational Hessenberg methods for the evaluation of matrix functions ⋮ Fractional Tikhonov regularization for linear discrete ill-posed problems ⋮ Faster gradient descent and the efficient recovery of images ⋮ The extended Krylov subspace method and orthogonal Laurent polynomials ⋮ Regularized total least squares based on quadratic eigenvalue problem solvers

Uses Software

• Regularization tools

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