Symmetric interpolation, Exchange Lemma and Sylvester sums

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The theory of symmetric multivariate Lagrange interpolation is a beautiful but rather unknown tool that has many applications. Here we derive from it an Exchange Lemma that allows to explain in a simple and natural way the full description of the double sum expressions introduced by Sylvester in 185...

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Detalles Bibliográficos
Autores principales:	Krick, T., Szanto, A., Valdettaro, M.
Formato:	JOUR
Materias:	Subresultants Sylvester double sums symmetric Lagrange interpolation
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00927872_v45_n8_p3231_Krick
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00927872_v45_n8_p3231_Krick
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spelling	todo:paper_00927872_v45_n8_p3231_Krick2023-10-03T14:55:17Z Symmetric interpolation, Exchange Lemma and Sylvester sums Krick, T. Szanto, A. Valdettaro, M. Subresultants Sylvester double sums symmetric Lagrange interpolation The theory of symmetric multivariate Lagrange interpolation is a beautiful but rather unknown tool that has many applications. Here we derive from it an Exchange Lemma that allows to explain in a simple and natural way the full description of the double sum expressions introduced by Sylvester in 1853 in terms of subresultants and their Bézout coeﬃcients. © 2017 Taylor & Francis. 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_00927872_v45_n8_p3231_Krick
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Subresultants Sylvester double sums symmetric Lagrange interpolation
spellingShingle	Subresultants Sylvester double sums symmetric Lagrange interpolation Krick, T. Szanto, A. Valdettaro, M. Symmetric interpolation, Exchange Lemma and Sylvester sums
topic_facet	Subresultants Sylvester double sums symmetric Lagrange interpolation
description	The theory of symmetric multivariate Lagrange interpolation is a beautiful but rather unknown tool that has many applications. Here we derive from it an Exchange Lemma that allows to explain in a simple and natural way the full description of the double sum expressions introduced by Sylvester in 1853 in terms of subresultants and their Bézout coeﬃcients. © 2017 Taylor & Francis.
format	JOUR
author	Krick, T. Szanto, A. Valdettaro, M.
author_facet	Krick, T. Szanto, A. Valdettaro, M.
author_sort	Krick, T.
title	Symmetric interpolation, Exchange Lemma and Sylvester sums
title_short	Symmetric interpolation, Exchange Lemma and Sylvester sums
title_full	Symmetric interpolation, Exchange Lemma and Sylvester sums
title_fullStr	Symmetric interpolation, Exchange Lemma and Sylvester sums
title_full_unstemmed	Symmetric interpolation, Exchange Lemma and Sylvester sums
title_sort	symmetric interpolation, exchange lemma and sylvester sums
url	http://hdl.handle.net/20.500.12110/paper_00927872_v45_n8_p3231_Krick
work_keys_str_mv	AT krickt symmetricinterpolationexchangelemmaandsylvestersums AT szantoa symmetricinterpolationexchangelemmaandsylvestersums AT valdettarom symmetricinterpolationexchangelemmaandsylvestersums
_version_	1807315586334588928

Symmetric interpolation, Exchange Lemma and Sylvester sums

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