Subresultants in multiple roots

We extend our previous work on Poisson-like formulas for subresultants in roots to the case of polynomials with multiple roots in both the univariate and multivariate case, and also explore some closed formulas in roots for univariate polynomials in this multiple roots setting. © 2012 Elsevier Inc....

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Autores principales: D'Andrea, Carlos Antonio, Krick, Teresa Elena Genoveva
Publicado: 2013
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v438_n5_p1969_DAndrea
http://hdl.handle.net/20.500.12110/paper_00243795_v438_n5_p1969_DAndrea
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spelling paper:paper_00243795_v438_n5_p1969_DAndrea2025-07-30T17:33:49Z Subresultants in multiple roots D'Andrea, Carlos Antonio Krick, Teresa Elena Genoveva Hermite interpolation root multiplicity subresultants Sylvester sums Hermite interpolation Multiple roots root multiplicity subresultants Sylvester sum Univariate Linear algebra Mathematical techniques We extend our previous work on Poisson-like formulas for subresultants in roots to the case of polynomials with multiple roots in both the univariate and multivariate case, and also explore some closed formulas in roots for univariate polynomials in this multiple roots setting. © 2012 Elsevier Inc. 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. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v438_n5_p1969_DAndrea http://hdl.handle.net/20.500.12110/paper_00243795_v438_n5_p1969_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 Hermite interpolation
root multiplicity
subresultants
Sylvester sums
Hermite interpolation
Multiple roots
root multiplicity
subresultants
Sylvester sum
Univariate
Linear algebra
Mathematical techniques
spellingShingle Hermite interpolation
root multiplicity
subresultants
Sylvester sums
Hermite interpolation
Multiple roots
root multiplicity
subresultants
Sylvester sum
Univariate
Linear algebra
Mathematical techniques
D'Andrea, Carlos Antonio
Krick, Teresa Elena Genoveva
Subresultants in multiple roots
topic_facet Hermite interpolation
root multiplicity
subresultants
Sylvester sums
Hermite interpolation
Multiple roots
root multiplicity
subresultants
Sylvester sum
Univariate
Linear algebra
Mathematical techniques
description We extend our previous work on Poisson-like formulas for subresultants in roots to the case of polynomials with multiple roots in both the univariate and multivariate case, and also explore some closed formulas in roots for univariate polynomials in this multiple roots setting. © 2012 Elsevier Inc. 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 Subresultants in multiple roots
title_short Subresultants in multiple roots
title_full Subresultants in multiple roots
title_fullStr Subresultants in multiple roots
title_full_unstemmed Subresultants in multiple roots
title_sort subresultants in multiple roots
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v438_n5_p1969_DAndrea
http://hdl.handle.net/20.500.12110/paper_00243795_v438_n5_p1969_DAndrea
work_keys_str_mv AT dandreacarlosantonio subresultantsinmultipleroots
AT krickteresaelenagenoveva subresultantsinmultipleroots
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