On the accuracy of total least squares and least squares techniques in the presence of errors on all data

DOI10.1016/0005-1098(89)90033-2zbMath0697.93053OpenAlexW1997267293MaRDI QIDQ912059

Joos Vandewalle, Sabine Van Huffel

Publication date: 1989

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(89)90033-2

zbMATH Keywords

perturbationstotal least squares

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Estimation and detection in stochastic control theory (93E10)

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Cites Work

• Unnamed Item
• Estimation in a multivariate errors in variables regression model: Large sample results
• Identification of linear systems with input and output noise: the Koopmans-Levin method
• Analysis and Solution of the Nongeneric Total Least Squares Problem
• Analysis and Properties of the Generalized Total Least Squares Problem $AX \approx B$ When Some or All Columns in A are Subject to Error
• Perturbation bounds in connection with singular value decomposition

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