Original title: Chování metody úplných nejmenších čtverců pro modely s vícenásobným pozorováním
Translated title: Behavior of total least squares method for models with multiple observations
Authors: Slavenko, Matvei ; Hnětynková, Iveta (advisor) ; Tůma, Miroslav (referee)
Document type: Bachelor's theses
Year: 2020
Language: eng
Abstract: Linear approximation problems arise in various applications and can be solved by a large variety of methods. One of such methods is total least squares (TLS), an approach that allows to correct errors both in the linear model and available set of observations. In this work we collect and compare the main theoretical results related to TLS with multiple right-hand side. Particularly we describe the classification of TLS problems and summarise the solvability analysis that has currently been spread over various sources. The second part of the work is dedicated to an approach called core data reduction (CDR) and proof-of-concept programme demonstrating the CDR numerical behaviour. 1
Keywords: data errors; linear aproximation problems; multiple observations; chyby v datech; lineární aproximační problém; násobná pozorování

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/121425

Permalink: http://www.nusl.cz/ntk/nusl-435356


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Bachelor's theses