Multivariate subresultants in roots

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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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Autores principales: D'Andrea, C., Krick, T., Szanto, A.
Formato: JOUR
Materias:
Poisson product formula
Subresultants
Vandermonde determinants
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v302_n1_p16_DAndrea
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00218693_v302_n1_p16_DAndrea
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spelling todo:paper_00218693_v302_n1_p16_DAndrea2023-10-03T14:21:23Z Multivariate subresultants in roots D'Andrea, C. Krick, T. Szanto, A. Poisson product formula Subresultants Vandermonde determinants 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218693_v302_n1_p16_DAndrea
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_00218693_v302_n1_p16_DAndrea
work_keys_str_mv AT dandreac multivariatesubresultantsinroots
AT krickt multivariatesubresultantsinroots
AT szantoa multivariatesubresultantsinroots
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