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» Galois Group Computation for Rational Polynomials
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JSC
2000
62views more  JSC 2000»
13 years 5 months ago
Galois Group Computation for Rational Polynomials
Katharina Geissler, Jürgen Klüners
ISSAC
2000
Springer
103views Mathematics» more  ISSAC 2000»
13 years 9 months ago
Computing the Galois group of a polynomial using linear differential equations
Olivier Cormier, Michael F. Singer, Felix Ulmer
ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
13 years 9 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
JSC
2000
69views more  JSC 2000»
13 years 5 months ago
Generic Polynomials with Few Parameters
We call a polynomial g(t1, . . . , tm, X) over a field K generic for a group G if it has Galois group G as a polynomial in X, and if every Galois field extension N/L with K L and...
Gregor Kemper, Elena Mattig
ISSAC
2007
Springer
99views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Computing monodromy via parallel homotopy continuation
Numerical homotopy continuation gives a powerful tool for the applied scientist who seeks solutions to a system of polynomial equations. Techniques from numerical homotopy continu...
Anton Leykin, Frank Sottile