Tikhonov regularization via flexible Arnoldi reduction

DOI10.1007/s10543-014-0542-9zbMath1332.65058OpenAlexW1983444614MaRDI QIDQ906959

Xuebo Yu, Lothar Reichel

Publication date: 1 February 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0542-9

zbMATH Keywords

numerical exampleTikhonov regularizationill-posed problemArnoldi processflexible general minimal residual (GMRES) method

Mathematics Subject Classification ID

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

Related Items (8)

Projected nonstationary iterated Tikhonov regularization ⋮ Arnoldi methods for image deblurring with anti-reflective boundary conditions ⋮ On the choice of subspace for large-scale Tikhonov regularization problems in general form ⋮ A Golub-Kahan-type reduction method for matrix pairs ⋮ Optimization methods for regularization-based ill-posed problems: a survey and a multi-objective framework ⋮ Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations ⋮ A method for computing a few eigenpairs of large generalized eigenvalue problems ⋮ Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization

Uses Software

• Regularization tools

Cites Work

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