Simple forms for perplectic and symplectic normal matrices

On the density of semisimple matrices in indefinite scalar product spaces

“…semisimple matrices in N (B) can all be transformed to sparse and nicely structured (canonical) forms by a B-unitary similarity transformation as shown in [2,Theorems 5 and 8]. From this point of view, our results imply that, even if the transformation established in [2] does not exist for some specific matrix A ∈ N (B), it will exist for B-normal matrices arbitrarily close to A.…”