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ISSAC
2004
Springer
13 years 10 months ago
2004
Springer
This paper presents an algorithm and its implementation for computing the approximate GCD (greatest common divisor) of multivariate polynomials whose coefficients may be inexact. ...
ISSAC
2004
Springer
13 years 10 months ago
2004
Springer
We give a necessary and sufficient condition for an algebraic ODE to have a rational type general solution. For an autonomous first order ODE, we give an algorithm to compute a r...
ISSAC
2004
Springer
13 years 10 months ago
2004
Springer
An orthogonal Ore ring is an abstraction of common properties of linear partial differential, shift and q-shift operators. Using orthogonal Ore rings, we present an algorithm for...
ISSAC
2004
Springer
13 years 10 months ago
2004
Springer
We introduce a new approach to multivariate polynomial factorisation which incorporates ideas from polyhedral geometry, and generalises Hensel lifting. Our main contribution is to...
ISSAC
2004
Springer
13 years 10 months ago
2004
Springer
In this paper, we present a truncated version of the classical Fast Fourier Transform. When applied to polynomial multiplication, this algorithm has the nice property of eliminati...