Artículo
Closed formula for univariate subresultants in multiple roots
Fecha de publicación:
03/2019
Editorial:
Elsevier Science Inc
Revista:
Linear Algebra and its Applications
ISSN:
0024-3795
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We generalize Sylvester single sums to multisets and show that these sums compute subresultants of two univariate polynomials as a function of their roots independently of their multiplicity structure. This is the first closed formula for subresultants in terms of roots that works for arbitrary polynomials, previous efforts only handled special cases. Our extension involves in some cases confluent Schur polynomials and is obtained by using multivariate symmetric interpolation via an Exchange Lemma.
Palabras clave:
EXCHANGE LEMMA
,
FORMULAS IN ROOTS
,
SCHUR FUNCTIONS
,
SUBRESULTANTS
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
D'Andrea, Carlos; Krick, Teresa Elena Genoveva; Szanto, Agnes; Valdettaro, Marcelo Alejandro; Closed formula for univariate subresultants in multiple roots; Elsevier Science Inc; Linear Algebra and its Applications; 565; 3-2019; 123-155
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