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dc.contributor.author
Bank, Bernd  
dc.contributor.author
Giusti, Marc  
dc.contributor.author
Heintz, Joos Ulrich  
dc.contributor.author
Pardo, Luis Miguel  
dc.date.available
2017-05-12T15:55:25Z  
dc.date.issued
2010-03  
dc.identifier.citation
Bank, Bernd; Giusti, Marc; Heintz, Joos Ulrich; Pardo, Luis Miguel; Bipolar varieties and real solving of a singular polynomial equation; Universidad de Jaén; Jaen Journal of Approximation; 2; 1; 3-2010; 79-91  
dc.identifier.issn
1889-3066  
dc.identifier.uri
http://hdl.handle.net/11336/16377  
dc.description.abstract
We introduce the concept of a bipolar variety of a real algebraic hypersurface. This notion is then used for the design and complexity estimations of a novel type of algorithms that finds algebraic sample points for the connected components of a singular real hypersurface. The complexity of these algorithms is polynomial in the maximal geometric degree of the bipolar varieties of the given hypersurface and in this sense intrinsic.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Universidad de Jaén  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Real Polynomial Equation Solving  
dc.subject
Singular Hypersurface  
dc.subject
Polar Variety  
dc.subject.classification
Ciencias de la Computación  
dc.subject.classification
Ciencias de la Computación e Información  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Bipolar varieties and real solving of a singular polynomial equation  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-05-11T20:56:50Z  
dc.identifier.eissn
1989-7251  
dc.journal.volume
2  
dc.journal.number
1  
dc.journal.pagination
79-91  
dc.journal.pais
España  
dc.journal.ciudad
Jaén  
dc.description.fil
Fil: Bank, Bernd. Universität zu Berlin; Alemania  
dc.description.fil
Fil: Giusti, Marc. Centre National de la Recherche Scientifique; Francia  
dc.description.fil
Fil: Heintz, Joos Ulrich. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Pardo, Luis Miguel. Universidad de Cantabria; España  
dc.journal.title
Jaen Journal of Approximation  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ujaen.es/revista/jja/volumes-papers-0002-01.php  

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