کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10325723 676182 2011 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A perturbed differential resultant based implicitization algorithm for linear DPPEs
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
A perturbed differential resultant based implicitization algorithm for linear DPPEs
چکیده انگلیسی
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 Pϕ of P, so that the linear complete differential resultant ∂CResϕ associated to Pϕ is nonzero. A nonzero linear differential polynomial in ID is obtained, from the lowest degree term of ∂CResϕ, and used to provide an implicitization for P.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 46, Issue 9, September 2011, Pages 977-996
نویسندگان
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