A note on constrained total least-squares estimation

DOI10.1016/j.laa.2006.03.044zbMath1117.62061OpenAlexW2017477922MaRDI QIDQ2497959

Burkhard Schaffrin

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.044

zbMATH Keywords

total least-squares principleequivalent sequence of eigenvalue problemsnonlinear Gauss--Helmert model with constraintsnonlinear normal equations

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear inference, regression (62J99) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (12)

On a basic multivariate EIV model with linear equality constraints ⋮ On condition numbers of the total least squares problem with linear equality constraint ⋮ Jackknife resample method for precision estimation of weighted total least squares ⋮ Consistent estimation of regression coefficients in ultrastructural measurement error model using stochastic prior information ⋮ Perturbation analysis for total least squares problems with linear equality constraint ⋮ On the multivariate total least-squares approach to empirical coordinate transformations. Three algorithms ⋮ Total least squares adjustment in partial errors-in-variables models: algorithm and statistical analysis ⋮ The revisited total least squares problems with linear equality constraint ⋮ Restricted regression estimation in measurement error models ⋮ Use of prior information in the consistent estimation of regression coefficients in measurement error models ⋮ Improving the weighted least squares estimation of parameters in errors-in-variables models ⋮ Multidimensional Total Least Squares Problem with Linear Equality Constraints

Uses Software

• VanHuffel

Cites Work

• An Analysis of the Total Least Squares Problem
• Methods for Large Scale Total Least Squares Problems
• The constrained total least squares technique and its applications to harmonic superresolution
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