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CDC
2010
IEEE
147views Control Systems» more  CDC 2010»
11 years 5 months ago
Partial pole placement with minimum norm controller
— The problem of placing an arbitrary subset (m) of the (n) closed loop eigenvalues of a nth order continuous time single input linear time invariant(LTI) system, using full stat...
Subashish Datta, Balarko Chaudhuri, Debraj Chakrab...
CORR
2011
Springer
151views Education» more  CORR 2011»
11 years 9 months ago
A Simulation Experiment on a Built-In Self Test Equipped with Pseudorandom Test Pattern Generator and Multi-Input Shift Register
This paper investigates the impact of the changes of the characteristic polynomials and initial loadings, on behaviour of aliasing errors of parallel signature analyzer (Multi-Inp...
A. Ahmad
MOC
2002
99views more  MOC 2002»
12 years 1 months ago
The irreducibility of some level 1 Hecke polynomials
Let Tp,k(x) be the characteristic polynomial of the Hecke operator Tp acting on the space of level 1 cusp forms Sk(1). We show that Tp,k(x) is irreducible and has full Galois group...
D. W. Farmer, K. James
ITA
2002
12 years 1 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
ECCC
1998
117views more  ECCC 1998»
12 years 1 months ago
Determinant: Old Algorithms, New Insights
In this paper we approach the problem of computing the characteristic polynomial of a matrix from the combinatorial viewpoint. We present several combinatorial characterizations of...
Meena Mahajan, V. Vinay
WSC
2000
12 years 3 months ago
A new class of linear feedback shift register generators
An efficient implementation of linear feedback shift register sequences with a given characteristic polynomial is obtained by a new method. It involves a polynomial linear congrue...
Pierre L'Ecuyer, François Panneton
ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
12 years 5 months ago
On Weil Polynomials of K3 Surfaces
Abstract. For K3 surfaces, we derive some conditions the characteristic polynomial of the Frobenius on the ´etale cohomology must satisfy. These conditions may be used to speed up...
Andreas-Stephan Elsenhans, Jörg Jahnel
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
12 years 8 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...
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