TY - JOUR
T1 - Computation of the Rational Representation for Solutions of High-Dimensional Systems
AU - Tan , Chang
AU - Zhang , Shugong
JO - Communications in Mathematical Research 
VL - 2
SP - 119
EP - 130
PY - 2021
DA - 2021/05
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19166.html
KW - rational univariate representation, high-dimensional ideal, maximally
independent set, rational representation, irreducible component.
AB - <p style="text-align: justify;">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.</p>