A tutorial history of least squares with applications to astronomy and geodesy
type: Item
instance of: scholarly article
title: A tutorial history of least squares with applications to astronomy and geodesy
zbMATH Open document ID: 0977.65029
DOI: 10.1016/S0377-0427(00)00343-5
author: Yves Nievergelt
published in: Journal of Computational and Applied Mathematics
publication date: 2001-03-05T00:00:00Z
review text: This paper has the character of a self-contained introduction and can at the same time serve as reference text for those in any of the various fields that use the principle of least squares. It reviews the history, development and applications of least squares. In particular, problems of ordinary, constrained, weighted and total least squares are discussed. The presentation includes the basic theory, e.g. unitary factorizations and singular-value decompositions of matrices and the matrix approximation theorems of Schmidt, Mirsky and Weyl. For sake of illustration a few numerical examples of curve and surface fitting in astronomy and geodesy are proposed.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65-03
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 85-08
Mathematics Subject Classification ID: 86-08
zbMATH DE Number: 1533127
zbMATH Keywords: historical survey
zbMATH Keywords: weighted and total least squares
zbMATH Keywords: unitary factorizations
zbMATH Keywords: singular-value decompositions
zbMATH Keywords: numerical examples
zbMATH Keywords: curve and surface fitting
zbMATH Keywords: astronomy
zbMATH Keywords: geodesy
reviewed by: Otu Vaarmann
describes a project that uses: VanHuffel
describes a project that uses: KELLEY
describes a project that uses: mctoolbox
MaRDI profile type: Publication
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Wikidata QID: Q127754394
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description: scientific article; zbMATH DE number 1533127