Bipolar varieties and real solving of a singular polynomial equation

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 al...

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Guardado en:
Detalles Bibliográficos
Publicado: 2010
Materias:
Polar varieties
Real polynomial equation solving
Singular hypersurface
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_18893066_v2_n1_p65_Bank
http://hdl.handle.net/20.500.12110/paper_18893066_v2_n1_p65_Bank
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_18893066_v2_n1_p65_Bank
record_format dspace
spelling paper:paper_18893066_v2_n1_p65_Bank2023-06-08T16:30:20Z Bipolar varieties and real solving of a singular polynomial equation Polar varieties Real polynomial equation solving Singular hypersurface 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. © 2010 Universidad de Jaén. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_18893066_v2_n1_p65_Bank http://hdl.handle.net/20.500.12110/paper_18893066_v2_n1_p65_Bank
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Polar varieties
Real polynomial equation solving
Singular hypersurface
spellingShingle Polar varieties
Real polynomial equation solving
Singular hypersurface
Bipolar varieties and real solving of a singular polynomial equation
topic_facet Polar varieties
Real polynomial equation solving
Singular hypersurface
description 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. © 2010 Universidad de Jaén.
title Bipolar varieties and real solving of a singular polynomial equation
title_short Bipolar varieties and real solving of a singular polynomial equation
title_full Bipolar varieties and real solving of a singular polynomial equation
title_fullStr Bipolar varieties and real solving of a singular polynomial equation
title_full_unstemmed Bipolar varieties and real solving of a singular polynomial equation
title_sort bipolar varieties and real solving of a singular polynomial equation
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_18893066_v2_n1_p65_Bank
http://hdl.handle.net/20.500.12110/paper_18893066_v2_n1_p65_Bank
_version_ 1768544524205817856

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