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Abstract:

We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a family of real polynomials defining regular hypersurfaces that intersect transversally. This enables us to show a probabilistic procedure to list all feasible sign conditions over the polynomials. In addition, we extend these results to the case of closed sign conditions over an arbitrary family of real multivariate polynomials. The complexity bounds for these procedures improve the known ones. © Springer Science+Business Media, LLC 2009.

Registro:

Documento: Artículo
Título:On sign conditions over real multivariate polynomials
Autor:Jeronimo, G.; Perrucci, D.; Sabia, J.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Departamento de Ciencias Exactas, Ciclo Básico Común, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
CONICET, Buenos Aires, Argentina
Palabras clave:Complexity; Consistency problem; Real multivariate polynomials; Sign conditions
Año:2010
Volumen:44
Número:1
Página de inicio:195
Página de fin:222
DOI: http://dx.doi.org/10.1007/s00454-009-9200-4
Título revista:Discrete and Computational Geometry
Título revista abreviado:Discrete Comput. Geom.
ISSN:01795376
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_01795376_v44_n1_p195_Jeronimo.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01795376_v44_n1_p195_Jeronimo

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Citas:

---------- APA ----------
Jeronimo, G., Perrucci, D. & Sabia, J. (2010) . On sign conditions over real multivariate polynomials. Discrete and Computational Geometry, 44(1), 195-222.
http://dx.doi.org/10.1007/s00454-009-9200-4
---------- CHICAGO ----------
Jeronimo, G., Perrucci, D., Sabia, J. "On sign conditions over real multivariate polynomials" . Discrete and Computational Geometry 44, no. 1 (2010) : 195-222.
http://dx.doi.org/10.1007/s00454-009-9200-4
---------- MLA ----------
Jeronimo, G., Perrucci, D., Sabia, J. "On sign conditions over real multivariate polynomials" . Discrete and Computational Geometry, vol. 44, no. 1, 2010, pp. 195-222.
http://dx.doi.org/10.1007/s00454-009-9200-4
---------- VANCOUVER ----------
Jeronimo, G., Perrucci, D., Sabia, J. On sign conditions over real multivariate polynomials. Discrete Comput. Geom. 2010;44(1):195-222.
http://dx.doi.org/10.1007/s00454-009-9200-4