The Total Least Squares Problem: Computational Aspects and Analysis.

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.