@Article{CMR-26-119, author = {Tan , Chang and Zhang , Shugong}, title = {Computation of the Rational Representation for Solutions of High-Dimensional Systems}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {26}, number = {2}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19166.html} }