Results 31 to 40 of about 187 (52)
A Generalization of Habicht\u27s Theorem for Subresultants of Several Univariate Polynomials [PDF]
Subresultants of two univariate polynomials are one of the most classic and ubiquitous objects in computational algebra and algebraic geometry. In 1948, Habicht discovered and proved interesting relationships among subresultants. Those relationships were
Meng, Jiaqi, Yang, Jing, Hong, Hoon
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Ore Subresultants in Solutions
, 2000 ... Recently they have been extended to Ore polynomials. They are defined by an expression in the coefficients of Ore polynomials. In this paper, we provide another expression for them.
Hoon Hong
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Differential Resultants and Subresultants
, 2007 Consider two differential operators L 1 = P a i d i and L 2 = P b j d j with coefficients in a differential field, say C(t) with d = @ @t for example. If the a i and b j are constants, the condition for the existence of a solution y of L 1 (y) =
Equipe De Calcul Formel, Marc Chardin
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1 Differential Resultants and Subresultants
, 2008 Consider two differential operators L1 = aid i and L2 = bjd j with coefficients in a differential field, say C(t) with d = ∂ for example. ∂t If the ai and bj are constants, the condition for the existence of a solution y of L1(y) = L2(y) = 0 is ...
Équipe De Calcul Formel +2 more
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Double Sylvester sums for subresultants and multi-Schur functions
, 2020 J. J. Sylvester has announced formulas expressing the subresultants (or the successive polynomial remainders for the Euclidean division) of two polynomials, in terms of some double sums over the roots of the two polynomials.
Piotr Pragacz, Alain Lascoux
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Two Variants of Bezout Subresultants for Several Univariate Polynomials
, 2023 In this paper, we develop two variants of Bezout subresultant formulas for several polynomials, i.e., hybrid Bezout subresultant polynomial and non-homogeneous Bezout subresultant polynomial.
Wang, Weidong, Yang, Jing
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Closed formulae for multiple roots of univariate polynomials through subresultants
, 2023 The computation of the topology of a real algebraic plane curve is greatly simplified if there are no more than one critical point in each vertical line: the general position condition.
Diaz-Toca, Gema M. +2 more
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Double Sylvester sums for subresultants and multi-Schur functions
, 2007 J. J. Sylvester has announced formulas expressing the subresultants (or the successive polynomial remainders for the Euclidean division) of two polynomials, in terms of some double sums over the roots of the two polynomials.
Piotr Pragacz, Alain Lascoux
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Subresultants Under Composition
, 1995 It is a well known fact that the resultants are invariant under translation. We extend this fact to arbitrary composition (where a translation is a particular composition with a linear monic polynomial), and to arbitrary subresultants (where the ...
Hoon Hong
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Derivative-Free Richelot Isogenies via Subresultants: Algebraic Equivalence and Certified Guarded Computation [PDF]
We present a derivative-free Richelot (2,2)-isogeny formulation using first subresultants and a canonical quadratic lift. Over odd characteristic, we prove its algebraic equivalence in Fp[x] to the classical Wronskian under natural normalization ...
Hung T. Dang
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