Algebraic connections between the least squares and total least squares problems
type: Item
instance of: scholarly article
title: Algebraic connections between the least squares and total least squares problems
zbMATH Open document ID: 0663.65038
DOI: 10.1007/BF01396047
author: Joos Vandewalle
author: Sabine Van Huffel
published in: Numerische Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133362
review text: See the preview in Zbl 0653.65028.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 4084858
zbMATH Keywords: total least squares
zbMATH Keywords: data fitting
zbMATH Keywords: approximate subspace
zbMATH Keywords: singular vector
zbMATH Keywords: singular value decomposition
zbMATH Keywords: overdetermined sets of linear equations
MaRDI profile type: Publication
cites work: Estimating linear statistical relationships
cites work: Consistency of regression estimates when some variables are subject to error
cites work: Q3254327
cites work: Estimation in a multivariate ''errors in variables'' regression model: Large sample results
cites work: Estimation of a linear transformation
cites work: An Analysis of the Total Least Squares Problem
cites work: Q5185900
cites work: Developments in Linear Regression Methodology: 1959-1982
cites work: The influence function in the errors in variables problem
cites work: Q3206104
cites work: Q4749007
cites work: A Bayesian Study of the Error-in-Variables Model
cites work: Numerical Methods for Estimating Parameters in Nonlinear Models with Errors in the Variables
cites work: Q5525753
cites work: Collinearity and least squares regression
cites work: Algebraic relationships between classical regression and total least- squares estimation
cites work: Analysis and Solution of the Nongeneric Total Least Squares Problem
cites work: Perturbation bounds in connection with singular value decomposition
description: scientific article; zbMATH DE number 4084858