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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_18893066_v2_n1_p65_Bank |
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todo:paper_18893066_v2_n1_p65_Bank2023-10-03T16:34:24Z Bipolar varieties and real solving of a singular polynomial equation Bank, B. Giusti, M. Heint, J. Pardo, L.M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Bank, B. Giusti, M. Heint, J. Pardo, L.M. 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. |
| format |
JOUR |
| author |
Bank, B. Giusti, M. Heint, J. Pardo, L.M. |
| author_facet |
Bank, B. Giusti, M. Heint, J. Pardo, L.M. |
| author_sort |
Bank, B. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_18893066_v2_n1_p65_Bank |
| work_keys_str_mv |
AT bankb bipolarvarietiesandrealsolvingofasingularpolynomialequation AT giustim bipolarvarietiesandrealsolvingofasingularpolynomialequation AT heintj bipolarvarietiesandrealsolvingofasingularpolynomialequation AT pardolm bipolarvarietiesandrealsolvingofasingularpolynomialequation |
| _version_ |
1782026760742764544 |