Incomplete total least squares
type: Item
instance of: scholarly article
title: Incomplete total least squares
zbMATH Open document ID: 0922.65009
author: K. Brüntjen
author: Helmuth Späth
published in: Numerische Mathematik
publication date: 1999-10-10T00:00:00Z
review text: Total least squares (TLS) are fitting data points with some model function such that the sum of squared orthogonal distances is minimized. The authors consider situations where the model is such that there might be no perpendiculars from certain data points onto the model function and where one has to replace certain orthogonal distances by shortest one. In this situation an incomplete TLS fit by a finite piece of straight line is introduced and then general model functions with linear parameter are studied. For fitting with them a descent algorithm is adapted. In the last section of the paper incomplete TLS fitting with a segment of a circle, the area of a circle in space, with a cylinder, and with a rectangle are discussed and numerical examples for each case are given.
reviewed by: Adalbert Csaba Hatvany
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 1271902
zbMATH Keywords: fitting data points
zbMATH Keywords: total least squares
zbMATH Keywords: descent algorithm
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: s002110050402
OpenAlex ID: W2048771179
DOI: 10.1007/S002110050402
description: scientific article; zbMATH DE number 1271902