| F08FGF | Apply orthogonal transformation determined by F08FEF |
| F08FUF | Apply unitary transformation matrix determined by F08FSF |
| F08GGF | Apply orthogonal transformation determined by F08GEF |
| F08GUF | Apply unitary transformation matrix determined by F08GSF |
| F08NGF | Apply orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |
| F08NJF | Transform eigenvectors of real balanced matrix to those of original matrix supplied to F08NHF |
| F08NUF | Apply unitary transformation matrix from reduction to Hessenberg form determined by F08NSF |
| F08NWF | Transform eigenvectors of complex balanced matrix to those of original matrix supplied to F08NVF |