KOPS - The Institutional Repository of the University of Konstanz

The Gauß-Newton Method and its Implementation in the Optimization Library Oppy

The Gauß-Newton Method and its Implementation in the Optimization Library Oppy

Cite This

Files in this item

Checksum: MD5:449ece8cc5b4091b5acb383e8f6133d9

ALBICKER, Julia, 2022. The Gauß-Newton Method and its Implementation in the Optimization Library Oppy [Master thesis]. Konstanz: Universität Konstanz

@mastersthesis{Albicker2022GauNe-57727, title={The Gauß-Newton Method and its Implementation in the Optimization Library Oppy}, year={2022}, address={Konstanz}, school={Universität Konstanz}, author={Albicker, Julia} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/57727"> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:title>The Gauß-Newton Method and its Implementation in the Optimization Library Oppy</dcterms:title> <dc:creator>Albicker, Julia</dc:creator> <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/4.0/"/> <dcterms:abstract xml:lang="eng">This thesis provides a detailed description of the Gauß-Newton method, which is a common and effective technique for solving least-squares problems. A proof of its linear and locally quadratic convergence is presented. Additionally, the Levenberg-Marquardt method is discussed as a variant of the Gauß-Newton approach. Furthermore, a new implementation of the mentioned optimization techniques and its embedding into the Python library oppy is introduced. Two distinct application cases are performed and evaluated, which adopt the formerly presented theoretical considerations and demonstrate the effectiveness of the applied methods.</dcterms:abstract> <dcterms:issued>2022</dcterms:issued> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-06-03T06:33:26Z</dc:date> <dc:rights>Attribution 4.0 International</dc:rights> <dc:language>eng</dc:language> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/57727/3/Albicker_2-segrisl6w08o7.pdf"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-06-03T06:33:26Z</dcterms:available> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/57727"/> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/57727/3/Albicker_2-segrisl6w08o7.pdf"/> <dc:contributor>Albicker, Julia</dc:contributor> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> </rdf:Description> </rdf:RDF>

Downloads since Jun 3, 2022 (Information about access statistics)

Albicker_2-segrisl6w08o7.pdf 315

This item appears in the following Collection(s)

Attribution 4.0 International Except where otherwise noted, this item's license is described as Attribution 4.0 International

Search KOPS


Browse

My Account