| F01QGF | RQ factorization of real m by n upper trapezoidal matrix (m ≤ n) |
| F01RGF | RQ factorization of complex m by n upper trapezoidal matrix (m ≤ n) |
| F02WUF | SVD of real upper triangular matrix (Black Box) |
| F02XUF | SVD of complex upper triangular matrix (Black Box) |
| F06QPF | QR factorization by sequence of plane rotations, rank-1 update of real upper triangular matrix |
| F06QQF | QR factorization by sequence of plane rotations, real upper triangular matrix augmented by a full row |
| F06QRF | QR or RQ factorization by sequence of plane rotations, real upper Hessenberg matrix |
| F06QSF | QR or RQ factorization by sequence of plane rotations, real upper spiked matrix |
| F06QTF | QR factorization of UP or RQ factorization of PU, U real upper triangular, P a sequence of plane rotations |
| F06QVF | Compute upper Hessenberg matrix by sequence of plane rotations, real upper triangular matrix |
| F06QWF | Compute upper spiked matrix by sequence of plane rotations, real upper triangular matrix |
| F06TPF | QR factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix |
| F06TQF | QR factorization by sequence of plane rotations, complex upper triangular matrix augmented by a full row |
| F06TRF | QR or RQ factorization by sequence of plane rotations, complex upper Hessenberg matrix |
| F06TSF | QR or RQ factorization by sequence of plane rotations, complex upper spiked matrix |
| F06TTF | QR factorization of UP or RQ factorization of PU, U complex upper triangular, P a sequence of plane rotations |
| F06TVF | Compute upper Hessenberg matrix by sequence of plane rotations, complex upper triangular matrix |
| F06TWF | Compute upper spiked matrix by sequence of plane rotations, complex upper triangular matrix |
| F08BHF | Reduces a real upper trapezoidal matrix to upper triangular form |
| F08BVF | Reduces a complex upper trapezoidal matrix to upper triangular form |
| F08NEF | Orthogonal reduction of real general matrix to upper Hessenberg form |
| F08NSF | Unitary reduction of complex general matrix to upper Hessenberg form |
| F08PEF | Computes the eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix |
| F08PKF | Selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration |
| F08PSF | Computes the eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix |
| F08PXF | Selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration |
| F08QHF | Solve real Sylvester matrix equation AX + XB = C, A and B are upper quasi-triangular or transposes |
| F08QKF | Left and right eigenvectors of real upper quasi-triangular matrix |
| F08QLF | Estimates of sensitivities of selected eigenvalues and eigenvectors of real upper quasi-triangular matrix |
| F08QVF | Solve complex Sylvester matrix equation AX + XB = C, A and B are upper triangular or conjugate-transposes |
| F08QXF | Left and right eigenvectors of complex upper triangular matrix |
| F08QYF | Estimates of sensitivities of selected eigenvalues and eigenvectors of complex upper triangular matrix |
| F08WEF | Orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form |
| F08WSF | Unitary reduction of a pair of complex general matrices to generalized upper Hessenberg form |
| F08XEF | Eigenvalues and generalized Schur factorization of real generalized upper Hessenberg form reduced from a pair of real general matrices |
| F08XSF | Eigenvalues and generalized Schur factorization of complex generalized upper Hessenberg form reduced from a pair of complex general matrices |
| F08YEF | Computes the generalized singular value decomposition of a real upper triangular (or trapezoidal) matrix pair |
| F08YKF | Left and right eigenvectors of a pair of real upper quasi-triangular matrices |
| F08YSF | Computes the generalized singular value decomposition of a complex upper triangular (or trapezoidal) matrix pair |
| F08YXF | Left and right eigenvectors of a pair of complex upper triangular matrices |
| G01EEF | Computes upper and lower tail probabilities and probability density function for the beta distribution |