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 -