Subresultants in multiple roots: An extremal case

We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x−α)m and (x−β)n with respect to the set of Bernstein polynomials {(x−α)j(x−β)d−j,0≤j≤d}. They are given by hypergeometric expressions arising from determinants of binomial Hankel matrices. © 2017 Elsevier I...

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Detalles Bibliográficos
Autores principales:	D'Andrea, Carlos Antonio, Krick, Teresa Elena Genoveva
Publicado:	2017
Materias:	Hankel matrices Ostrowski's determinant Pfaff–Saalschütz identity Subresultants Linear algebra Mathematical techniques Bernstein polynomial Explicit formula Extremal Hankel matrix Hypergeometric Multiple roots Ostrowski Matrix algebra
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v529_n_p185_Bostan http://hdl.handle.net/20.500.12110/paper_00243795_v529_n_p185_Bostan
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_00243795_v529_n_p185_Bostan
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spelling	paper:paper_00243795_v529_n_p185_Bostan2023-06-08T14:52:09Z Subresultants in multiple roots: An extremal case D'Andrea, Carlos Antonio Krick, Teresa Elena Genoveva Hankel matrices Ostrowski's determinant Pfaff–Saalschütz identity Subresultants Linear algebra Mathematical techniques Bernstein polynomial Explicit formula Extremal Hankel matrix Hypergeometric Multiple roots Ostrowski Subresultants Matrix algebra We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x−α)m and (x−β)n with respect to the set of Bernstein polynomials {(x−α)j(x−β)d−j,0≤j≤d}. They are given by hypergeometric expressions arising from determinants of binomial Hankel matrices. © 2017 Elsevier Inc. 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. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v529_n_p185_Bostan http://hdl.handle.net/20.500.12110/paper_00243795_v529_n_p185_Bostan
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Hankel matrices Ostrowski's determinant Pfaff–Saalschütz identity Subresultants Linear algebra Mathematical techniques Bernstein polynomial Explicit formula Extremal Hankel matrix Hypergeometric Multiple roots Ostrowski Subresultants Matrix algebra
spellingShingle	Hankel matrices Ostrowski's determinant Pfaff–Saalschütz identity Subresultants Linear algebra Mathematical techniques Bernstein polynomial Explicit formula Extremal Hankel matrix Hypergeometric Multiple roots Ostrowski Subresultants Matrix algebra D'Andrea, Carlos Antonio Krick, Teresa Elena Genoveva Subresultants in multiple roots: An extremal case
topic_facet	Hankel matrices Ostrowski's determinant Pfaff–Saalschütz identity Subresultants Linear algebra Mathematical techniques Bernstein polynomial Explicit formula Extremal Hankel matrix Hypergeometric Multiple roots Ostrowski Subresultants Matrix algebra
description	We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x−α)m and (x−β)n with respect to the set of Bernstein polynomials {(x−α)j(x−β)d−j,0≤j≤d}. They are given by hypergeometric expressions arising from determinants of binomial Hankel matrices. © 2017 Elsevier Inc.
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	Subresultants in multiple roots: An extremal case
title_short	Subresultants in multiple roots: An extremal case
title_full	Subresultants in multiple roots: An extremal case
title_fullStr	Subresultants in multiple roots: An extremal case
title_full_unstemmed	Subresultants in multiple roots: An extremal case
title_sort	subresultants in multiple roots: an extremal case
publishDate	2017
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v529_n_p185_Bostan http://hdl.handle.net/20.500.12110/paper_00243795_v529_n_p185_Bostan
work_keys_str_mv	AT dandreacarlosantonio subresultantsinmultiplerootsanextremalcase AT krickteresaelenagenoveva subresultantsinmultiplerootsanextremalcase
_version_	1768543456187121664

Subresultants in multiple roots: An extremal case

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