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ISSAC
2005
Springer
125views Mathematics» more  ISSAC 2005»
15 years 3 months ago
Generalized normal forms and polynomial system solving
This paper describes a new method for computing the normal form of a polynomial modulo a zero-dimensional ideal I. We give a detailed description of the algorithm, a proof of its ...
Bernard Mourrain
CORR
2008
Springer
104views Education» more  CORR 2008»
14 years 9 months ago
Stable normal forms for polynomial system solving
This paper describes and analyzes a method for computing border bases of a zero-dimensional ideal I. The criterion used in the computation involves specific commutation polynomial...
Bernard Mourrain, Philippe Trebuchet
TCS
2011
14 years 4 months ago
Dynamic normal forms and dynamic characteristic polynomial
Abstract. We present the first fully dynamic algorithm for computing the characteristic polynomial of a matrix. In the generic symmetric case our algorithm supports rank-one updat...
Gudmund Skovbjerg Frandsen, Piotr Sankowski
JSC
2006
84views more  JSC 2006»
14 years 9 months ago
Normal forms for general polynomial matrices
Bernhard Beckermann, George Labahn, Gilles Villard