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 | 0747-7171 |
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 |
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