Ore principal subresultant coefficients in solutions

Authors
Citation
H. Hong, Ore principal subresultant coefficients in solutions, APPL ALG EN, 11(3), 2001, pp. 227-237
Citations number
20
Categorie Soggetti
Engineering Mathematics
Journal title
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
ISSN journal
09381279 → ACNP
Volume
11
Issue
3
Year of publication
2001
Pages
227 - 237
Database
ISI
SICI code
0938-1279(200102)11:3<227:OPSCIS>2.0.ZU;2-B
Abstract
The principal subresultant coefficients of polynomials play a fundamental r ole in elimination theory and computer algebra. Recently they have been ext ended to Ore polynomials. They are defined by an expression in the coeffici ents of Ore polynomials. In this paper, we provide another expression for t hem. This expression is written in terms of the "solutions" of Ore polynomi als (in "generic" case). It can be viewed as a generalization of the well k nown expression for resultants of two commutative polynomials: the product of the pair-wise differences of their roots.