| F08NEF | Orthogonal reduction of real general matrix to upper Hessenberg form |
| F08NFF | Generate orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |
| F08NSF | Unitary reduction of complex general matrix to upper Hessenberg form |
| F08NTF | Generate unitary transformation matrix from reduction to Hessenberg form determined by F08NSF |