Condition Numbers of the Multidimensional Total Least Squares Problem

DOI10.1137/15M1053815zbMath1373.65035OpenAlexW2750836333MaRDI QIDQ5358299

Bing Zheng, Lingsheng Meng, Yi-Min Wei

Publication date: 20 September 2017

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1053815

zbMATH Keywords

singular value decompositioncondition numbernumerical experimenttruncated total least squaresmultidimensional total least squares

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (16)

On condition numbers of the total least squares problem with linear equality constraint ⋮ Perturbation analysis and condition numbers for the Tikhonov regularization of total least squares problem and their statistical estimation ⋮ Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem ⋮ Condition numbers of multidimensional mixed least squares-total least squares problems ⋮ A contribution to the conditioning of the mixed least-squares scaled total least-squares problem ⋮ TLS-EM algorithm of mixture density models for exponential families ⋮ Condition numbers of the multidimensional total least squares problems having more than one solution ⋮ Condition numbers of the mixed least squares-total least squares problem revisited ⋮ Consistent estimation with the use of orthogonal projections for a linear regression model with errors in the variables ⋮ Regularized TLS-EM for estimating missing data ⋮ Reverse-order law for weighted Moore-Penrose inverse of tensors ⋮ On the condition number theory of the equality constrained indefinite least squares problem ⋮ Randomized core reduction for discrete ill-posed problem ⋮ Perturbation theory for Moore-Penrose inverse of tensor via Einstein product ⋮ Perturbation analysis and condition numbers of mixed least squares-scaled total least squares problem ⋮ Multidimensional Total Least Squares Problem with Linear Equality Constraints

Uses Software

• VanHuffel

Cites Work

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