Description of the connected components of a semialgebraic set in single exponential time
This paper is devoted to the following result: let R be a real closed field and let S be a semialgebraic subset of Rn defined by a boolean combination of polynomial inequalities. Let D be the sum of the degrees of the polynomials involved. Then it is possible to find algorithmically a description of...
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| Formato: | Artículo publishedVersion |
| Lenguaje: | Inglés |
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1994
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_01795376_v11_n1_p121_Heintz |
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paperaa:paper_01795376_v11_n1_p121_Heintz2023-06-12T16:47:06Z Description of the connected components of a semialgebraic set in single exponential time Discrete Comput Geom 1994;11(1):121-140 Heintz, J. Roy, M.-F. Solernó, P. This paper is devoted to the following result: let R be a real closed field and let S be a semialgebraic subset of Rn defined by a boolean combination of polynomial inequalities. Let D be the sum of the degrees of the polynomials involved. Then it is possible to find algorithmically a description of the semialgebraically connected components of S in sequential time Dn o(1) and parallel time (n log D)o(1) This implies that the problem of finding the connected components of a semialgebraic set can be solved in P-SPACE. © 1994 Springer-Verlag New York Inc. Fil:Solernó, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1994 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01795376_v11_n1_p121_Heintz |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| description |
This paper is devoted to the following result: let R be a real closed field and let S be a semialgebraic subset of Rn defined by a boolean combination of polynomial inequalities. Let D be the sum of the degrees of the polynomials involved. Then it is possible to find algorithmically a description of the semialgebraically connected components of S in sequential time Dn o(1) and parallel time (n log D)o(1) This implies that the problem of finding the connected components of a semialgebraic set can be solved in P-SPACE. © 1994 Springer-Verlag New York Inc. |
| format |
Artículo Artículo publishedVersion |
| author |
Heintz, J. Roy, M.-F. Solernó, P. |
| spellingShingle |
Heintz, J. Roy, M.-F. Solernó, P. Description of the connected components of a semialgebraic set in single exponential time |
| author_facet |
Heintz, J. Roy, M.-F. Solernó, P. |
| author_sort |
Heintz, J. |
| title |
Description of the connected components of a semialgebraic set in single exponential time |
| title_short |
Description of the connected components of a semialgebraic set in single exponential time |
| title_full |
Description of the connected components of a semialgebraic set in single exponential time |
| title_fullStr |
Description of the connected components of a semialgebraic set in single exponential time |
| title_full_unstemmed |
Description of the connected components of a semialgebraic set in single exponential time |
| title_sort |
description of the connected components of a semialgebraic set in single exponential time |
| publishDate |
1994 |
| url |
http://hdl.handle.net/20.500.12110/paper_01795376_v11_n1_p121_Heintz |
| work_keys_str_mv |
AT heintzj descriptionoftheconnectedcomponentsofasemialgebraicsetinsingleexponentialtime AT roymf descriptionoftheconnectedcomponentsofasemialgebraicsetinsingleexponentialtime AT solernop descriptionoftheconnectedcomponentsofasemialgebraicsetinsingleexponentialtime |
| _version_ |
1769810334001922048 |