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ITA
2002
13 years 4 months ago
On multiplicatively dependent linear numeration systems, and periodic points
Abstract. Two linear numeration systems, with characteristic polynomial equal to the minimal polynomial of two Pisot numbers and respectively, such that and are multiplicatively...
Christiane Frougny
CORR
2006
Springer
69views Education» more  CORR 2006»
13 years 4 months ago
Bounds on the coefficients of the characteristic and minimal polynomials
ABSTRACT. This note presents absolute bounds on the size of the coefficients of the characteristic and minimal polynomials depending on the size of the coefficients of the associat...
Jean-Guillaume Dumas
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
13 years 11 months ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...