Backward Perturbation Bounds for Linear Least Squares Problems

DOI10.1137/S0895479895296446zbMath0948.65040MaRDI QIDQ4243509

Ming Gu

Publication date: 18 May 1999

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

zbMATH Keywords

algorithmlinear least squares problembackward stabilitybest backward perturbation bounds

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items

Bounds for an estimate of the optimal backward error for linear least squares problems ⋮ Condition numbers and backward perturbation bound for linear matrix equations ⋮ Condition numbers of the least squares problems with multiple right-hand sides ⋮ 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 ⋮ Evaluation of Abramowitz functions in the right half of the complex plane ⋮ Backward perturbation analysis for scaled total least-squares problems ⋮ Linearization estimates of the backward errors for least squares problems

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