Results 21 to 30 of about 187 (52)

B\'ezout Subresultants for Univariate Polynomials in General Basis

, 2023
Subresultant is a powerful tool for developing various algorithms in computer algebra. Subresultants for polynomials in standard basis (i.e., power basis) have been well studied so far.
Yang, Jing, Yang, Wei
core  

Subresultants and locally nilpotent derivations [PDF]

, 2004
In this paper we establish a connection between subresultants and locally nilpotent derivations over commutative rings containing the rationals. As consequence of this connection, we prove that for any commutative ring with unit and any polynomials P ...
El Kahoui, M., El Kahoui, M'hammed, El Kahoui, M’hammed, M’hammed El Kahoui   +3 more
core   +1 more source

Scalar q-subresultants and Dickson matrices [PDF]

, 2019
Following the ideas of Ore and Li we study q-analogues of scalar subresultants and show how these results can be applied to determine the rank of a GF(q)-linear transformation f of GF(q^n).
Csajbók, Bence, Bence Csajbok
core   +1 more source

Subresultants in multiple roots [PDF]

, 2012
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
Szanto, Agnes, D'andrea, Carlos, Krick, Teresa Elena Genoveva   +2 more
core   +1 more source

Subresultants of two Hermite–Laurent series [PDF]

, 2010
Subresultants appear to be approximants of the resultant, and can be defined, in the univariate case so far, for a couple of Laurent series while the concept of resultant does no longer make sense.
Apéry, François
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A Note on Subresultants and the Lazard/Rioboo/Trager Formula in Rational Function Integration [PDF]

, 1997
An ambiguity in a formula of Lazard, Rioboo and Trager, connecting subresultants and rational function integration, is indicated and examples of incorrect interpretations are ...
MULDERS, THOM
core   +1 more source

Resultants and subresultants of p-adic polynomials

, 2015
We address the problem of the stability of the computations of resultants and subresultants of polynomials defined over complete discrete valuation rings (e.g. Zp or k[[t]] where k is a field). We prove that Euclide-like algorithms are highly unstable on
Caruso, Xavier
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Subresultants of $(x-\alpha)^m$ and $(x-\beta)^n$, Jacobi polynomials and complexity [PDF]

, 2019
International audienceIn an earlier article together with Carlos D'Andrea [BDKSV2017], we describedexplicit expressions for the coefficients of the order-$d$ polynomialsubresultant of $(x-\alpha)^m$ and $(x-\beta)^n $ with respect to Bernstein'sset of ...
Bostan, Alin, Szanto, Agnes, Valdettaro, M, Szanto, A, Krick, Teresa Elena Genoveva, Krick, T, Valdettaro, Marcelo Alejandro   +6 more
core   +1 more source

Factorization of KdV Schrödinger operators using differential subresultants

, 2022
We address the classical factorization problem of a one dimensional Schrödinger operator −∂2+u−λ, for a stationary potential u of the KdV hierarchy but, in this occasion, a “parameter” λ is considered.
Morales-Ruiz, Juan J., Zurro Moro, Ángeles, Rueda, Sonia L.   +2 more
core   +1 more source

Formulas in roots for the subresultants [PDF]

, 2017
Los objetos centrales de esta tesis son los polinomios subresultantes de dos polinomios en una variable, que son, en el caso de polinomios con raíces simples, múltiplos escalares de lo que hoy se llama sumas de Sylvester de sus conjuntos de raíces, como ...
Valdettaro, Marcelo Alejandro
core   +2 more sources