Results 41 to 50 of about 187 (52)

An elementary approach to subresultants theory

open access: yesJournal of Symbolic Computation, 2003
In this paper we give an elementary approach to univariate polynomial subresultants theory. Most of the known results of subresultants are recovered, some with more precision, without using Euclidean divisions or existence of roots for univariate ...
M'Hammed El Kahoui
exaly   +1 more source

The Habicht Approach to Subresultants [PDF]

open access: yesJournal of Symbolic Computation, 1996
The Habicht approach to the theory of subresultants is based on studying polynomial remainder sequences (PRS) with indeterminate coefficients, and predicting the effects of specializing these coefficients. This has advantages as noted by Loos.
CHEE KENG YAP   +3 more
exaly   +2 more sources

Closed formula for univariate subresultants in multiple roots [PDF]

open access: yesLinear Algebra and Its Applications, 2019
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.
Teresa Krick   +2 more
exaly   +2 more sources

New Structure Theorem for Subresultants [PDF]

open access: yesJournal of Symbolic Computation, 2000
We give a new structure theorem for subresultants precising their gap structure and derive from it a new algorithm for computing them. If d is a bound on the degrees and τ a bound on the bitsize of the minors extracted from Sylvester matrix, our ...
Mohab Safey El Din   +2 more
exaly   +2 more sources
Some of the next articles are maybe not open access.

Subresultants and generic monomial bases

Journal of Symbolic Computation, 2005
Gabriela Tali Jerónimo
exaly  

Subresultants revisited

Theoretical Computer Science, 2003
Joachim von Zur Gathen
exaly  

Subresultants Under Composition

Journal of Symbolic Computation, 1997
Hoon Hong
exaly  

A new approach for constructing subresultants

Applied Mathematics and Computation, 2006
exaly  

Double Sylvester sums for subresultants and multi-Schur functions

Journal of Symbolic Computation, 2003
Alain Lascoux, Piotr Pragacz
exaly  

On Euclid's Algorithm and the Theory of Subresultants

Journal of the ACM, 1971
J F Traub, W S Brown
exaly  

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