Details:
Title  A perturbed differential resultant based implicitization algorithm for linear DPPEs  Author(s)  Sonia L. Rueda  Type  Article in Journal  Abstract  Let K be an ordinary differential field with derivation ∂ . Let P be a system of n linear differential polynomial parametric equations in n − 1 differential parameters, with implicit ideal ID . Given a nonzero linear differential polynomial A in ID , we give necessary and sufficient conditions on A for P to be n − 1 dimensional. We prove the existence of a linear perturbation P ϕ of P , so that the linear complete differential resultant ∂ CRes ϕ associated to P ϕ is nonzero. A nonzero linear differential polynomial in ID is obtained, from the lowest degree term of ∂ CRes ϕ , and used to provide an implicitization for P .  Keywords  Differential rational parametric equations, Differential resultant, Implicitization, Perturbation  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717111000617 
Language  English  Journal  Journal of Symbolic Computation  Volume  46  Number  9  Pages  977  996  Year  2011  Edition  0  Translation 
No  Refereed 
No 
