Tikhonov regularization for weighted total least squares problems

DOI10.1016/j.aml.2006.03.004zbMath1153.65040OpenAlexW1997314951MaRDI QIDQ2463930

Wei Xu, Naimin Zhang, Yi-Min Wei, Michael Kwok-Po Ng

Publication date: 6 December 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.03.004

zbMATH Keywords

Tikhonov regularizationtotal least squaresweighted regularized total least squares

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22)

Related Items (7)

Inverse eigenvalue problems for discrete gyroscopic systems ⋮ A direct method for updating mass and stiffness matrices with submatrix constraints ⋮ Ill-conditioning of the truncated singular value decomposition, Tikhonov regularization and their applications to numerical partial differential equations ⋮ Topology optimization of hinge-free compliant mechanisms with multiple outputs using level set method ⋮ A direct method for the simultaneous updating of finite element mass, damping and stiffness matrices ⋮ Least-squares solutions to the matrix equations \(AX = B\) and \(XC = D\) ⋮ An inverse quadratic eigenvalue problem for damped gyroscopic systems

Uses Software

• Regularization tools
• VanHuffel

Cites Work

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• An Analysis of the Total Least Squares Problem
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• A regularized structured total least squares algorithm for high-resolution image reconstruction
• Regularization by Truncated Total Least Squares
• Tikhonov Regularization and Total Least Squares

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