Browsing by Issue Date, starting with "2015-10-03"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
- Spectral and weak polynomial completeness for the product of nonsingular matricesPublication . Iglésias, Laura; Silva, Fernando C.Let F be a field with at least four elements. In this paper, we identify all the pairs (A, B) of n x n nonsingular matrices over F, satisfying the following property: for every monic polynomial f (x) = x(n) + a(n-1)x(n-1) +... + a(1)x + a(0) over F, with a root in F and a(0) = (-1)(n) det(AB), there are nonsingular matrices X, Y is an element of F-nxn such that XAX(-1)Y BY-1 has characteristic polynomial f (x).