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ISSAC
1999
Springer
116views Mathematics» more  ISSAC 1999»
14 years 3 months ago
On the Genericity of the Modular Polynomial GCD Algorithm
In this paper we study the generic setting of the modular GCD algorithm. We develop the algorithm for multivariate polynomials over Euclidean domains which have a special kind of ...
Erich Kaltofen, Michael B. Monagan
ISSAC
2004
Springer
94views Mathematics» more  ISSAC 2004»
14 years 4 months ago
Algorithms for polynomial GCD computation over algebraic function fields
Let L be an algebraic function field in k ≥ 0 parameters t1, . . . , tk. Let f1, f2 be non-zero polynomials in L[x]. We give two algorithms for computing their gcd. The first,...
Mark van Hoeij, Michael B. Monagan
ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
14 years 5 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost