International audienceWe 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
AbstractIn this paper we investigate extremal non-negative polynomials of several variables. Our app...
AbstractA determinantal formula, based on an appropriate extension of the definition of subresultant...
The expansion of a given multivariate polynomial into Bernstein polynomials is considered. Matrix me...
We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x−α)m a...
AbstractLet Pn(x)=∑k=0nβkbk,n(x;α,β),βn≠0, where bk,n(x;α,β)≔(α+x)k(β-x)n-k,k=0,1,…,n,α,β∈C,α≠-β, a ...
In an earlier article (Bostan et al., 2017), with Carlos D’Andrea, we described explicit expressions...
International audienceIn an earlier article together with Carlos D'Andrea [BDKSV2017], we describede...
Given the polynomials f, g ∈ Z[x] of degrees n, m, respectively, with n > m, three new, and easy to ...
In Computer Algebra, Subresultant Theory provides a powerful method to construct algorithms solving ...
In Computer Algebra, Subresultant Theory provides a powerful method to construct algorithms solving ...
AbstractWe give a rational expression for the subresultants of n+1 generic polynomials f1,…,fn+1 in ...
Colloque avec actes et comité de lecture. internationale.International audienceSubresultants are def...
AbstractA general subresultant method is introduced to compute elements of a given ideal with few te...
For any univariate polynomial P whose coefficients lie in an ordinary differential field F of charac...
Abstract. We establish a connection between the D-resultant of two polynomials f(t) and g(t) and the...
AbstractIn this paper we investigate extremal non-negative polynomials of several variables. Our app...
AbstractA determinantal formula, based on an appropriate extension of the definition of subresultant...
The expansion of a given multivariate polynomial into Bernstein polynomials is considered. Matrix me...
We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x−α)m a...
AbstractLet Pn(x)=∑k=0nβkbk,n(x;α,β),βn≠0, where bk,n(x;α,β)≔(α+x)k(β-x)n-k,k=0,1,…,n,α,β∈C,α≠-β, a ...
In an earlier article (Bostan et al., 2017), with Carlos D’Andrea, we described explicit expressions...
International audienceIn an earlier article together with Carlos D'Andrea [BDKSV2017], we describede...
Given the polynomials f, g ∈ Z[x] of degrees n, m, respectively, with n > m, three new, and easy to ...
In Computer Algebra, Subresultant Theory provides a powerful method to construct algorithms solving ...
In Computer Algebra, Subresultant Theory provides a powerful method to construct algorithms solving ...
AbstractWe give a rational expression for the subresultants of n+1 generic polynomials f1,…,fn+1 in ...
Colloque avec actes et comité de lecture. internationale.International audienceSubresultants are def...
AbstractA general subresultant method is introduced to compute elements of a given ideal with few te...
For any univariate polynomial P whose coefficients lie in an ordinary differential field F of charac...
Abstract. We establish a connection between the D-resultant of two polynomials f(t) and g(t) and the...
AbstractIn this paper we investigate extremal non-negative polynomials of several variables. Our app...
AbstractA determinantal formula, based on an appropriate extension of the definition of subresultant...
The expansion of a given multivariate polynomial into Bernstein polynomials is considered. Matrix me...
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