Explicit formulas for the multivariate resultant

We present formulas for the multivariate resultant as a quotient of two determinants. They extend the classical Macaulay formulas, and involve matrices of considerably smaller size, whose non-zero entries include coefficients of the given polynomials and coefficients of their Bezoutian. These formul...

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Autores principales: D'Andrea, C., Dickenstein, A.
Formato: JOUR
Materias:
13D25
13P99
14N99
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00224049_v164_n1-2_p59_DAndrea
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00224049_v164_n1-2_p59_DAndrea
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spelling todo:paper_00224049_v164_n1-2_p59_DAndrea2023-10-03T14:32:37Z Explicit formulas for the multivariate resultant D'Andrea, C. Dickenstein, A. 13D25 13P99 14N99 We present formulas for the multivariate resultant as a quotient of two determinants. They extend the classical Macaulay formulas, and involve matrices of considerably smaller size, whose non-zero entries include coefficients of the given polynomials and coefficients of their Bezoutian. These formulas can also be viewed as an explicit computation of the morphisms and the determinant of a resultant complex. © 2001 Elsevier Science B.V. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00224049_v164_n1-2_p59_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 13D25
13P99
14N99
spellingShingle 13D25
13P99
14N99
D'Andrea, C.
Dickenstein, A.
Explicit formulas for the multivariate resultant
topic_facet 13D25
13P99
14N99
description We present formulas for the multivariate resultant as a quotient of two determinants. They extend the classical Macaulay formulas, and involve matrices of considerably smaller size, whose non-zero entries include coefficients of the given polynomials and coefficients of their Bezoutian. These formulas can also be viewed as an explicit computation of the morphisms and the determinant of a resultant complex. © 2001 Elsevier Science B.V.
format JOUR
author D'Andrea, C.
Dickenstein, A.
author_facet D'Andrea, C.
Dickenstein, A.
author_sort D'Andrea, C.
title Explicit formulas for the multivariate resultant
title_short Explicit formulas for the multivariate resultant
title_full Explicit formulas for the multivariate resultant
title_fullStr Explicit formulas for the multivariate resultant
title_full_unstemmed Explicit formulas for the multivariate resultant
title_sort explicit formulas for the multivariate resultant
url http://hdl.handle.net/20.500.12110/paper_00224049_v164_n1-2_p59_DAndrea
work_keys_str_mv AT dandreac explicitformulasforthemultivariateresultant
AT dickensteina explicitformulasforthemultivariateresultant
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