Inverse subspace problems with applications

DOI10.1002/nla.1914zbMath1340.65069OpenAlexW1961891720MaRDI QIDQ2948071

Silvia Noschese, Lothar Reichel

Publication date: 29 September 2015

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1914

zbMATH Keywords

numerical experimentsLanczos methodFrobenius normminimizationArnoldi methodLanczos bidiagonalizationdiscrete ill-posed problemimage deblurring problemFredholm integral equation of the first kindmatrix approximationblurring matrixinverse singular subspace probleminverse subspace problemsubspace-restricted SVD method

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical computation of matrix norms, conditioning, scaling (65F35) Orthogonalization in numerical linear algebra (65F25)

Related Items (2)

Krylov--Schur-Type Restarts for the Two-Sided Arnoldi Method ⋮ On the Kahan-Parlett-Jiang theorem -- a globally optimal backward perturbation error for two-sided invariant subspaces

Uses Software

• Matlab
• Regularization tools

Cites Work

• Unnamed Item
• Subspace-restricted singular value decompositions for linear discrete ill-posed problems
• An iterative method for Tikhonov regularization with a general linear regularization operator
• Backward perturbation analysis of certain characteristic subspaces
• Computing smallest singular triplets with implicitly restarted Lanczos bidiagonalization
• An implicitly restarted block Lanczos bidiagonalization method using Leja shifts
• Regularization tools version \(4.0\) for matlab \(7.3\)
• Harmonic and refined extraction methods for the singular value problem, with applications in least squares problems
• Numerical Methods for Large Eigenvalue Problems
• Deblurring Images
• Rank-Deficient and Discrete Ill-Posed Problems
• Augmented Implicitly Restarted Lanczos Bidiagonalization Methods

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