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factoring multivariate polynomials via partial differential ...
Clemson University
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Clemson University
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由 S GAO 著作被引用 176 次 — It is based on a simple partial differential equation that gives a system of linear equations. Like Berlekamp's and Niederreiter's algorithms ...
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AMS :: Mathematics of Computation
American Mathematical Society
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由 S Gao 著作2003被引用 176 次 — All issues : 1943 – Present. Factoring multivariate polynomials via partial differential equations. HTML articles powered by AMS MathViewer. by Shuhong Gao ...
Factoring multivariate polynomials via partial differential ...
ACM Digital Library
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由 S Gao 著作2003被引用 176 次 — The theory of the new method allows an effective Hilbert irreducibility theorem, thus an efficient reduction of polynomials from multivariate to bivariate.
Factoring Multivariate Polynomials via Partial Differential ...
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A new method is presented for factorization of bivariate polynomials over any field of characteristic zero or of relatively large characteristic.
Approximate Factorization of Multivariate Polynomials via ...
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数学机械化重点实验室
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由 S Gao 著作2004被引用 111 次 — The input to our algorithm is a multivariate polynomial, whose complex rational coefficients are considered imprecise with an unknown error that causes f to ...
Approximate factorization of multivariate polynomials via ...
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由 S Gao 著作2004被引用 111 次 — We demonstrate on a significant body of experimental data that our algorithm is practical and can find factorizable polynomials within a distance that is about ...
Approximate Factorization of Multivariate Polynomials via ...
Duke University
https://users.cs.duke.edu › bibliography › issac
Duke University
https://users.cs.duke.edu › bibliography › issac
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1. Find a basis for the linear space G, and choose a random element g ∈ G. 2. Compute the polynomial Eg = ∏ ...
A note on Gao's algorithm for polynomial factorization
ScienceDirect.com
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ScienceDirect.com
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由 C Hoppen 著作2011被引用 2 次 — This algorithm is based on a simple partial differential equation and depends on a crucial fact: the dimension of the polynomial solution space ...
Factoring and Solving Linear Partial Differential Equations
Archive ouverte HAL
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Archive ouverte HAL
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由 D Grigoriev 著作2004被引用 69 次 — As in the case of polynomial factoring, an important issue in factoring differential operators is the choice of a ground differential field F.
Shuhong Gao
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Factoring multivariate polynomials via partial differential equations. S Gao. Mathematics of computation 72 (242), 801-822, 2003. 174, 2003. Optimal normal ...