Generalized least-squares adjustment, a timely but much neglected tool
type: Item
instance of: scholarly article
title: Generalized least-squares adjustment, a timely but much neglected tool
zbMATH Open document ID: 0776.62058
DOI: 10.1007/BF00699745
author: Heinrich Eichhorn
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1993-11-24T00:00:00Z
review text: A considerable amount of work has been done to make least-squares adjustment a more versatile tool, and it is the purpose of this article to give brief descriptions of all generalized least-squares adjustment techniques that have been developed so far. Algorithms have been established which will allow one to work with problems in which any number of (possibly correlated) observations occurs explicitly in any of the nonlinear condition equations, and in which at least a subset of the adjustment parameters may be known to be sampled from a multivariate normal distribution with known covariance matrix but unknown modes. Furthermore, ``filtering'' algorithms have been developed which allow one to take advantage of previous results in finding revised adjustments when either the set of observations, or the set of adjustment parameters or both have been augmented over the sets on which the previous adjustment was based.
Mathematics Subject Classification ID: 62J99
Mathematics Subject Classification ID: 93E24
Mathematics Subject Classification ID: 62P99
Mathematics Subject Classification ID: 62N99
zbMATH DE Number: 429331
zbMATH Keywords: algorithms
zbMATH Keywords: generalized least-squares adjustment techniques
zbMATH Keywords: nonlinear condition equations
zbMATH Keywords: multivariate normal distribution
zbMATH Keywords: known covariance matrix
zbMATH Keywords: unknown modes
MaRDI profile type: Publication
cites work: Q3996826
cites work: Q4879581
full work available at URL: https://doi.org/10.1007/bf00699745
OpenAlex ID: W3026249295
description: scientific article; zbMATH DE number 429331