Year: 2010
Author: Chang Tan, Shugong Zhang
Communications in Mathematical Research , Vol. 26 (2010), Iss. 2 : pp. 119–130
Abstract
This paper deals with the representation of the solutions of a polynomial system, and concentrates on the high-dimensional case. Based on the rational univariate representation of zero-dimensional polynomial systems, we give a new description called rational representation for the solutions of a high-dimensional polynomial system and propose an algorithm for computing it. By this way all the solutions of any high-dimensional polynomial system can be represented by a set of so-called rational-representation sets.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19166
Communications in Mathematical Research , Vol. 26 (2010), Iss. 2 : pp. 119–130
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: rational univariate representation high-dimensional ideal maximally independent set rational representation irreducible component.