An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure

DOI10.1016/j.laa.2010.06.001zbMath1210.65091OpenAlexW2060487795MaRDI QIDQ630512

Abderrahman Bouhamidi, Lothar Reichel, Hassane Sadok, Khalide Jbilou

Publication date: 17 March 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.06.001

zbMATH Keywords

numerical examplesill-posed problemtruncated singular value decompositionKronecker productFredholm integral equations of the first kindtruncation criterionvector extrapolation

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (11)

Fractional Tikhonov regularization with a nonlinear penalty term ⋮ Nested splitting conjugate gradient method for matrix equation \(AXB=C\) and preconditioning ⋮ Метод расширенных нормальных уравнений для задач регуляризации Тихонова с дифференцирующим оператором ⋮ Generalized conjugate direction method for solving a class of generalized coupled Sylvester-conjugate transpose matrix equations over generalized Hamiltonian matrices ⋮ The block Lanczos algorithm for linear ill-posed problems ⋮ A new approximate inverse preconditioner based on the Vaidya’s maximum spanning tree for matrix equation AXB = C ⋮ An accelerated tensorial double proximal gradient method for total variation regularization problem ⋮ On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations ⋮ FGMRES for linear discrete ill-posed problems ⋮ Vector extrapolation applied to truncated singular value decomposition and truncated iteration ⋮ The right–left preconditioning technique for the solution of the large matrix equationAXB = C

Uses Software

• Regularization tools
• ErresTools

Cites Work

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• Linear and numerical linear algebra in control theory: Some research problems
• Analysis of some vector extrapolation methods for solving systems of linear equations
• Vector extrapolation methods. Applications and numerical comparison
• Stability and inertia
• Regularization tools version \(4.0\) for matlab \(7.3\)

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