Sylvester's double sums: The general case

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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Detalles Bibliográficos
Autores principales: D'Andrea, Carlos Antonio, Krick, Teresa Elena Genoveva
Publicado: 2009
Materias:
Double sums
Subresultants
Vandermonde determinants
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v44_n9_p1164_DAndrea
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 paper:paper_07477171_v44_n9_p1164_DAndrea2023-06-08T15:45:09Z Sylvester's double sums: The general case D'Andrea, Carlos Antonio Krick, Teresa Elena Genoveva 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v44_n9_p1164_DAndrea 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)
topic Double sums
Subresultants
Vandermonde determinants
spellingShingle Double sums
Subresultants
Vandermonde determinants
D'Andrea, Carlos Antonio
Krick, Teresa Elena Genoveva
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.
author D'Andrea, Carlos Antonio
Krick, Teresa Elena Genoveva
author_facet D'Andrea, Carlos Antonio
Krick, Teresa Elena Genoveva
author_sort D'Andrea, Carlos Antonio
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v44_n9_p1164_DAndrea
http://hdl.handle.net/20.500.12110/paper_07477171_v44_n9_p1164_DAndrea
work_keys_str_mv AT dandreacarlosantonio sylvestersdoublesumsthegeneralcase
AT krickteresaelenagenoveva sylvestersdoublesumsthegeneralcase
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