Linearization estimates of the backward errors for least squares problems

DOI10.1002/nla.827zbMath1289.65092OpenAlexW1726786428MaRDI QIDQ2864485

Na Zhao, Xin-Guo Liu

Publication date: 6 December 2013

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.827

zbMATH Keywords

numerical examplesbackward errorequality constrained least squares problemscaled total least squares problemleast squares problem over a spherelinearization estimate

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (2)

Backward error and condition number analysis for the indefinite linear least squares problem ⋮ On Iterative Solution of the Extended Normal Equations

Uses Software

• mctoolbox
• testmatrix

Cites Work

• Unnamed Item
• Backward error bounds for constrained least squares problems
• Estimation of optimal backward perturbation bounds for the linear least squares problem
• Scaled total least squares fundamentals
• Towards A Backward Perturbation Analysis For Data Least Squares Problems
• Backward Perturbation Bounds for Linear Least Squares Problems
• Optimal backward perturbation bounds for the LSS problem

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