| f08nec | Orthogonal reduction of real general matrix to upper Hessenberg form |
| f08nsc | Unitary reduction of complex general matrix to upper Hessenberg form |
| f08pec | Eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix |
| f08pkc | Selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration |
| f08psc | Eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix |
| f08pxc | Selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration |
| f08qhc | Solve real Sylvester matrix equation AX+XB=C, A and B are upper quasi-triangular or transposes |
| f08qkc | Left and right eigenvectors of real upper quasi-triangular matrix |
| f08qlc | Estimates of sensitivities of selected eigenvalues and eigenvectors of real upper quasi-triangular matrix |
| f08qvc | Solve complex Sylvester matrix equation AX+XB=C, A and B are upper triangular or conjugate-transposes |
| f08qxc | Left and right eigenvectors of complex upper triangular matrix |
| f08qyc | Estimates of sensitivities of selected eigenvalues and eigenvectors of complex upper triangular matrix |
| f08wec | Orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form |
| f08wsc | Unitary reduction of a pair of complex general matrices to generalized upper Hessenberg form |
| f08xec | Eigenvalues and generalized Schur factorization of real generalized upper Hessenberg form reduced from a pair of real general matrices |
| f08xsc | Eigenvalues and generalized Schur factorization of complex generalized upper Hessenberg form reduced from a pair of complex general matrices |
| f08ykc | Left and right eigenvectors of a pair of real upper quasi-triangular matrices |
| f08yxc | Left and right eigenvectors of a pair of complex upper triangular matrices |
| g13edc | One iteration step of the time-invariant Kalman filter recursion using the square root information implementation with (A-1,A-1B) in upper controller Hessenberg form |
| g13ewc | Unitary state-space transformation to reduce (A,C) to lower or upper observer Hessenberg form |
| g13exc | Unitary state-space transformation to reduce (B,A) to lower or upper controller Hessenberg form |