Perturbation theory for orthogonal projection methods with applications to least squares and total least squares

DOI10.1016/0024-3795(94)00209-6zbMath0843.65027OpenAlexW2023054423MaRDI QIDQ1908189

Ricardo D. Fierro, James R. Bunch

Publication date: 26 February 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00209-6

zbMATH Keywords

perturbation theoryleast squarestotal least squaresperturbation boundsorthogonal projection methods

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items

A Schatten-\(q\) low-rank matrix perturbation analysis via perturbation projection error bound, Small sample statistical condition estimation for the total least squares problem, Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem, On the condition number of the total least squares problem, Consistent estimation with the use of orthogonal projections for a linear regression model with errors in the variables, A generalization of the Bott-Duffin inverse and its applications, Some results on condition numbers of the scaled total least squares problem, On the perturbation of an \(L^2\)-orthogonal projection, Properties and least-squares problems for row extended matrices, Perturbation analysis and condition numbers of scaled total least squares problems, Perturbation analysis and condition numbers of mixed least squares-scaled total least squares problem

Uses Software

• VanHuffel

Cites Work

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