On the block Lanczos and block Golub–Kahan reduction methods applied to discrete ill‐posed problems

DOI10.1002/NLA.2376OpenAlexW3149955404MaRDI QIDQ5033194

Giuseppe Rodriguez, Silvia Gazzola, Abdulaziz Alqahtani, Lothar Reichel

Publication date: 22 February 2022

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

Full work available at URL: https://doi.org/10.1002/nla.2376

zbMATH Keywords

Tikhonov regularizationGolub-Kahan block bidiagonalizationlarge-scale discrete ill-posed problemsymmetric Lanczosblock tridiagonalization

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)

Related Items (3)

Error estimates for Golub–Kahan bidiagonalization with Tikhonov regularization for ill–posed operator equations ⋮ Regularized minimal-norm solution of an overdetermined system of first kind integral equations ⋮ Approximation of the Tikhonov regularization parameter through Aitken's extrapolation

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