Estimation of optimal backward perturbation bounds for the linear least squares problem

DOI10.1007/BF02510356zbMath0905.65051MaRDI QIDQ1378467

Bertil Waldén, Rune Karlson

Publication date: 2 February 1999

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

numerical examplesFrobenius normspectral normlinear least squares problemsoptimal backward perturbation bound

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items

Backward error and condition number analysis for the indefinite linear least squares problem ⋮ Bounds for an estimate of the optimal backward error for linear least squares problems ⋮ Simple backward error bounds for linear least-squares problems ⋮ LSMB: Minimizing the Backward Error for Least-Squares Problems ⋮ Estimating the backward error for the least-squares problem with multiple right-hand sides ⋮ Backward stability analysis of weighted linear least-squares problems ⋮ Backward perturbation analysis for scaled total least-squares problems ⋮ Linearization estimates of the backward errors for least squares problems

Uses Software

• mctoolbox

Cites Work

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• Optimal Backward Perturbation Bounds for Underdetermined Systems
• Optimal backward perturbation bounds for the linear least squares problem
• Optimal backward perturbation bounds for the linear least-squares problem with multiple right-hand sides

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