Closed formula for univariate subresultants in multiple roots

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 poly...

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Detalles Bibliográficos
Autores principales: D'Andrea, C., Krick, T., Szanto, A., Valdettaro, M.
Formato: JOUR
Materias:
Exchange lemma
Formulas in roots
Schur functions
Subresultants
Linear algebra
Mathematical techniques
Arbitrary polynomial
Multiple roots
Multiplicity structures
Schur function
Schur polynomials
Polynomials
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00243795_v565_n_p123_DAndrea
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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