Optimal backward perturbation bounds for the linear least-squares problem with multiple right-hand sides

DOI10.1093/imanum/16.1.1zbMath0845.15002OpenAlexW2014540466MaRDI QIDQ4864121

Ji-guang Sun

Publication date: 22 February 1996

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/16.1.1

zbMATH Keywords

linear least-squares problemlinear equationsoptimal backward perturbation boundsmatrices of full column rankminimum of the Frobenius norm

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Miscellaneous inequalities involving matrices (15A45)

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Condition numbers and backward perturbation bound for linear matrix equations, Condition numbers of the least squares problems with multiple right-hand sides, Estimation of optimal backward perturbation bounds for the linear least squares problem, Estimating the backward error for the least-squares problem with multiple right-hand sides, Multiplicative perturbation bounds for multivariate multiple linear regression in Schatten \(p\)-norms