NDLI: Some theoretical problems when solving systems of polynomial equations using Gröbner bases

Content Provider	ACM Digital Library
Author	Buchanan, S. Alasdair
Abstract	The use of Gröbner bases as an initial stage in determining the roots of systems of polynomials is well established as a more robust technique than numerical methods. The technique is described as producing 'the exact solution of systems of algebraic equations.'. However there are some theoretical limitations on the robustness of this method which under certain circumstances leave no confidence in its results. It is not the intention of this paper to provide answers to these problems but rather to consider their nature and the conditions under which they arise.
Starting Page	24
Ending Page	27
Page Count	4
File Format	PDF
ISSN	01635824
DOI	10.1145/122520.122523
Journal	ACM SIGSAM Bulletin (SIGS)
Volume Number	25
Issue Number	2
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1998-12-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article

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Some theoretical problems when solving systems of polynomial equations using Gröbner bases