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ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
14 years 3 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...
CORR
2010
Springer
136views Education» more  CORR 2010»
13 years 9 months ago
On the Sets of Real Numbers Recognized by Finite Automata in Multiple Bases
This article studies the expressive power of finite automata recognizing sets of real numbers encoded in positional notation. We consider Muller automata as well as the restricted ...
Bernard Boigelot, Julien Brusten, Véronique...
ITA
2002
13 years 8 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
GLVLSI
2011
IEEE
351views VLSI» more  GLVLSI 2011»
13 years 22 days ago
Design of low-power multiple constant multiplications using low-complexity minimum depth operations
Existing optimization algorithms for the multiplierless realization of multiple constant multiplications (MCM) typically target the minimization of the number of addition and subt...
Levent Aksoy, Eduardo Costa, Paulo F. Flores, Jos&...
ICCAD
2005
IEEE
144views Hardware» more  ICCAD 2005»
14 years 5 months ago
An exact algorithm for the maximal sharing of partial terms in multiple constant multiplications
— In this paper we propose an exact algorithm that maximizes the sharing of partial terms in Multiple Constant Multiplication (MCM) operations. We model this problem as a Boolean...
Paulo F. Flores, José C. Monteiro, Eduardo ...