TY  - JOUR
A1  - Ferrante, Augusto
A1  - Wimmer, Harald K.
T1  - Reachability matrices and cyclic matrices
N2  - We study reachability matrices R(A, b) = [b,Ab, . . . ,An−1b], where A is an n × n matrix over a field K and b is in Kn. We characterize those matrices that are reachability matrices for some pair (A, b). In the case of a cyclic matrix A and an n-vector of indeterminates x, we derive a factorization of the polynomial det(R(A, x)).
KW  - Mathematik
KW  - Reachability matrix
KW  - Krylow matrix
KW  - cyclic matrix
KW  - nonderogatory matrix
KW  - companion matrix
KW  - Vandermonde matrix
KW  - Hautus test
Y1  - 2010
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-68074
N1  - AMS subject classifications. 15A03, 15A15, 93B05
ER  -