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» Normal forms for general polynomial matrices
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JSC
2006
84views more  JSC 2006»
14 years 9 months ago
Normal forms for general polynomial matrices
Bernhard Beckermann, George Labahn, Gilles Villard
70
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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
AMC
2010
86views more  AMC 2010»
14 years 9 months ago
On properties of cell matrices
In this paper properties of cell matrices are studied. A determinant of such a matrix is given in a closed form. In the proof a general method for determining a determinant of a s...
Gasper Jaklic, Jolanda Modic