@article{FerranteWimmer2010, author = {Ferrante, Augusto and Wimmer, Harald K.}, title = {Reachability matrices and cyclic matrices}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-68074}, year = {2010}, abstract = {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)).}, subject = {Mathematik}, language = {en} }