Some results on condition numbers of the scaled total least squares problem

DOI10.1016/j.laa.2010.07.022zbMath1228.65058OpenAlexW2136651047MaRDI QIDQ541931

Bingyu Li, Zhongxiao Jia

Publication date: 8 June 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.2010.07.022

zbMATH Keywords

perturbation analysistotal least squaresstructured condition numberscaled total least squares

Mathematics Subject Classification ID

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

Related Items (17)

A contribution to perturbation analysis for total least squares problems ⋮ Small sample statistical condition estimation for the total least squares problem ⋮ A note on the condition number of the scaled total least squares problem ⋮ On condition numbers of the total least squares problem with linear equality constraint ⋮ 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 ⋮ On the condition number of the total least squares problem ⋮ On the partial condition numbers for the indefinite least squares problem ⋮ 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 ⋮ Condition Numbers of the Multidimensional Total Least Squares Problem ⋮ Partial condition number for the equality constrained linear least squares problem ⋮ Perturbation analysis for total least squares problems with linear equality constraint ⋮ On the condition number theory of the equality constrained indefinite least squares problem ⋮ 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

• mctoolbox

Cites Work

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