1992•Mathematics of ComputationRequires access

The Total Least Squares Problem: Computational Aspects and Analysis.

George W. Fisher, Sabine Van Huffel, Joos Vandewalle

Abstract

Introduction Basic principles of the total least squares problem Extensions of the basic total least squares problem Direct speed Improvement of the total least squares computations Iterative speed Improvement for solving slowly varying total least squares problems Algebraic Connections Between total least squares and least squares problems Sensitivity analysis of total least squares and least squares problems in the presence of errors in all data Statistical properties of the total least squares problem Algebraic connections between total least squares estimation and classical linear regression in Multicollinearity problems Conclusions.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 1177 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Total least squares, Non-linear least squares, Mathematics, Iteratively reweighted least squares, Least-squares function approximation, Generalized least squares, Linear least squares, Multicollinearity