TY - JOUR
AU - Ayad, Ali
AU - Fares, Ali
AU - Ayyad, Youssef
PY - 2012
TI - An algorithm for solving zero-dimensional parametric systems of polynomial homogeneous equations
JO - Journal of Nonlinear Sciences and Applications
SP - 426--438
VL - 5
IS - 6
AB - This paper presents a new algorithm for solving zero-dimensional parametric systems of polynomial homogeneous
equations. This algorithm is based on the computation of what we call parametric U-resultants.
The parameters space, i.e., the set of values of the parameters is decomposed into a finite number of constructible
sets. The solutions of the input polynomial system are given uniformly in each constructible set
by Polynomial Univariate Representations. The complexity of this algorithm is single exponential in the
number n of the unknowns and the number r of the parameters.
SN - ISSN 2008-1901
UR - http://dx.doi.org/10.22436/jnsa.005.06.03
DO - 10.22436/jnsa.005.06.03
ID - Ayad2012
ER -