Large-scale Tikhonov regularization of total least squares

DOI10.1016/j.cam.2012.08.023zbMath1254.65052OpenAlexW2050761493MaRDI QIDQ1758404

Heinrich Voss, Jörg Lampe

Publication date: 9 November 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.08.023

zbMATH Keywords

numerical examplesiterative methodill-posednesstotal least squaresoverdetermined linear systemsgeneral-form Tikhonov regularization

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22)

Related Items (8)

Perturbation analysis and condition numbers for the Tikhonov regularization of total least squares problem and their statistical estimation ⋮ A fast algorithm for globally solving Tikhonov regularized total least squares problem ⋮ Efficiently solving total least squares with Tikhonov identical regularization ⋮ Efficient parameters estimation method for the separable nonlinear least squares problem ⋮ Efficient local search procedures for quadratic fractional programming problems ⋮ A survey on variational characterizations for nonlinear eigenvalue problems ⋮ An efficient Gauss-Newton algorithm for solving regularized total least squares problems ⋮ Simple and efficient determination of the Tikhonov regularization parameter chosen by the generalized discrepancy principle for discrete ill-posed problems

Uses Software

• Regularization tools
• NewtonLib

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