Sylvester's double sums: The general case

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In 1853 Sylvester introduced a family of double-sum expressions for two finite sets of indeterminates and showed that some members of the family are essentially the polynomial subresultants of the monic polynomials associated with these sets. A question naturally arises: What are the other members o...

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Autores principales: D'Andrea, C., Hong, H., Krick, T., Szanto, A.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2009
Materias:
Double sums
Subresultants
Vandermonde determinants
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_07477171_v44_n9_p1164_DAndrea
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_07477171_v44_n9_p1164_DAndrea2023-06-12T16:48:13Z Sylvester's double sums: The general case J. Symb. Comput. 2009;44(9):1164-1175 D'Andrea, C. Hong, H. Krick, T. Szanto, A. Double sums Subresultants Vandermonde determinants In 1853 Sylvester introduced a family of double-sum expressions for two finite sets of indeterminates and showed that some members of the family are essentially the polynomial subresultants of the monic polynomials associated with these sets. A question naturally arises: What are the other members of the family? This paper provides a complete answer to this question. The technique that we developed to answer the question turns out to be general enough to characterize all members of the family, providing a uniform method. © 2009 Elsevier Ltd. 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. 2009 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_07477171_v44_n9_p1164_DAndrea
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
topic Double sums
Subresultants
Vandermonde determinants
spellingShingle Double sums
Subresultants
Vandermonde determinants
D'Andrea, C.
Hong, H.
Krick, T.
Szanto, A.
Sylvester's double sums: The general case
topic_facet Double sums
Subresultants
Vandermonde determinants
description In 1853 Sylvester introduced a family of double-sum expressions for two finite sets of indeterminates and showed that some members of the family are essentially the polynomial subresultants of the monic polynomials associated with these sets. A question naturally arises: What are the other members of the family? This paper provides a complete answer to this question. The technique that we developed to answer the question turns out to be general enough to characterize all members of the family, providing a uniform method. © 2009 Elsevier Ltd. All rights reserved.
format Artículo
Artículo
publishedVersion
author D'Andrea, C.
Hong, H.
Krick, T.
Szanto, A.
author_facet D'Andrea, C.
Hong, H.
Krick, T.
Szanto, A.
author_sort D'Andrea, C.
title Sylvester's double sums: The general case
title_short Sylvester's double sums: The general case
title_full Sylvester's double sums: The general case
title_fullStr Sylvester's double sums: The general case
title_full_unstemmed Sylvester's double sums: The general case
title_sort sylvester's double sums: the general case
publishDate 2009
url http://hdl.handle.net/20.500.12110/paper_07477171_v44_n9_p1164_DAndrea
work_keys_str_mv AT dandreac sylvestersdoublesumsthegeneralcase
AT hongh sylvestersdoublesumsthegeneralcase
AT krickt sylvestersdoublesumsthegeneralcase
AT szantoa sylvestersdoublesumsthegeneralcase
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