Computation of the Rational Representation for Solutions of High-dimensional Systems

摘要

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.