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Lower Bound Functions for Polynomials

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GARLOFF, Jürgen, Christian JANSSON, Andrew Paul SMITH, 2003. Lower Bound Functions for Polynomials

@unpublished{Garloff2003Lower-6143, title={Lower Bound Functions for Polynomials}, year={2003}, author={Garloff, Jürgen and Jansson, Christian and Smith, Andrew Paul} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:contributor>Smith, Andrew Paul</dc:contributor> <dspace:isPartOfCollection rdf:resource=""/> <dc:date rdf:datatype="">2011-03-24T16:09:47Z</dc:date> <dcterms:rights rdf:resource=""/> <dc:contributor>Garloff, Jürgen</dc:contributor> <dc:creator>Smith, Andrew Paul</dc:creator> <dcterms:hasPart rdf:resource=""/> <bibo:uri rdf:resource=""/> <dc:contributor>Jansson, Christian</dc:contributor> <dspace:hasBitstream rdf:resource=""/> <dcterms:issued>2003</dcterms:issued> <dc:format>application/pdf</dc:format> <dc:rights>terms-of-use</dc:rights> <dcterms:title>Lower Bound Functions for Polynomials</dcterms:title> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:available rdf:datatype="">2011-03-24T16:09:47Z</dcterms:available> <dcterms:abstract xml:lang="eng">Relaxation techniques for solving nonlinear systems and global optimisation problems require bounding from below the nonconvexities that occur in the constraints or in the objective function by affine or convex functions. In this paper we consider such lower bound functions in the case of problems involving multivariate polynomials. They are constructed by using Bernstein expansion. An error bound exhibiting quadratic convergence in the univariate case and some numerical examples are given.</dcterms:abstract> <dc:creator>Jansson, Christian</dc:creator> <dc:language>eng</dc:language> <dc:creator>Garloff, Jürgen</dc:creator> <dcterms:isPartOf rdf:resource=""/> </rdf:Description> </rdf:RDF>

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