Multivariate subresultants in roots
We give a rational expression for the subresultants of n + 1 generic polynomials f1, ..., fn + 1 in n variables as a function of the coordinates of the common roots of f1, ..., fn and their evaluation in fn + 1. We present a simple technique to prove our results, giving new proofs and generalizing t...
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2006
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00218693_v302_n1_p16_DAndrea https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v302_n1_p16_DAndrea_oai |
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I28-R145-paper_00218693_v302_n1_p16_DAndrea_oai2024-08-16 D'Andrea, C. Krick, T. Szanto, A. 2006 We give a rational expression for the subresultants of n + 1 generic polynomials f1, ..., fn + 1 in n variables as a function of the coordinates of the common roots of f1, ..., fn and their evaluation in fn + 1. We present a simple technique to prove our results, giving new proofs and generalizing the classical Poisson product formula for the projective resultant, as well as the expressions of Hong for univariate subresultants in roots. © 2005 Elsevier Inc. All rights reserved. Fil:D'Andrea, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Krick, T. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00218693_v302_n1_p16_DAndrea info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Algebra 2006;302(1):16-36 Poisson product formula Subresultants Vandermonde determinants Multivariate subresultants in roots info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v302_n1_p16_DAndrea_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| topic |
Poisson product formula Subresultants Vandermonde determinants |
| spellingShingle |
Poisson product formula Subresultants Vandermonde determinants D'Andrea, C. Krick, T. Szanto, A. Multivariate subresultants in roots |
| topic_facet |
Poisson product formula Subresultants Vandermonde determinants |
| description |
We give a rational expression for the subresultants of n + 1 generic polynomials f1, ..., fn + 1 in n variables as a function of the coordinates of the common roots of f1, ..., fn and their evaluation in fn + 1. We present a simple technique to prove our results, giving new proofs and generalizing the classical Poisson product formula for the projective resultant, as well as the expressions of Hong for univariate subresultants in roots. © 2005 Elsevier Inc. All rights reserved. |
| format |
Artículo Artículo publishedVersion |
| author |
D'Andrea, C. Krick, T. Szanto, A. |
| author_facet |
D'Andrea, C. Krick, T. Szanto, A. |
| author_sort |
D'Andrea, C. |
| title |
Multivariate subresultants in roots |
| title_short |
Multivariate subresultants in roots |
| title_full |
Multivariate subresultants in roots |
| title_fullStr |
Multivariate subresultants in roots |
| title_full_unstemmed |
Multivariate subresultants in roots |
| title_sort |
multivariate subresultants in roots |
| publishDate |
2006 |
| url |
http://hdl.handle.net/20.500.12110/paper_00218693_v302_n1_p16_DAndrea https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v302_n1_p16_DAndrea_oai |
| work_keys_str_mv |
AT dandreac multivariatesubresultantsinroots AT krickt multivariatesubresultantsinroots AT szantoa multivariatesubresultantsinroots |
| _version_ |
1809356963088171008 |