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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2009
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_07477171_v44_n9_p1164_DAndrea http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_07477171_v44_n9_p1164_DAndrea_oai |
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I28-R145-paper_07477171_v44_n9_p1164_DAndrea_oai2020-10-19 D'Andrea, C. Hong, H. Krick, T. Szanto, A. 2009 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. application/pdf http://hdl.handle.net/20.500.12110/paper_07477171_v44_n9_p1164_DAndrea info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Symb. Comput. 2009;44(9):1164-1175 Double sums Subresultants Vandermonde determinants Sylvester's double sums: The general case info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_07477171_v44_n9_p1164_DAndrea_oai |
| institution |
Universidad de Buenos Aires |
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I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| 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 http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_07477171_v44_n9_p1164_DAndrea_oai |
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AT dandreac sylvestersdoublesumsthegeneralcase AT hongh sylvestersdoublesumsthegeneralcase AT krickt sylvestersdoublesumsthegeneralcase AT szantoa sylvestersdoublesumsthegeneralcase |
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1766026710538518528 |