Triangular sets for solving polynomial systems: a comparative implementation of four methods

Authors
Aubry, P Maza, MM
Citation
P. Aubry et Mm. Maza, Triangular sets for solving polynomial systems: a comparative implementation of four methods, J SYMB COMP, 28(1-2), 1999, pp. 125-154
Citations number
54
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF SYMBOLIC COMPUTATION
ISSN journal
07477171 → ACNP
Volume
28
Issue
1-2
Year of publication
1999
Pages
125 - 154
Database
ISI
SICI code
0747-7171(199907/08)28:1-2<125:TSFSPS>2.0.ZU;2-3
Abstract
Four methods for solving polynomial systems by means of triangular sets are presented and implemented in a unified way. These methods are those of Wu (1987), Lazard (1991), Kalkbrener (1991) and Wang (1993b). They are compare d on various examples with the emphasis on efficiency, conciseness and legi bility of the output. (C) 1999 Academic Press.