| F01QGF | RQ factorization of real m by n upper trapezoidal matrix (m ≤ n) |
| F01QJF | RQ factorization of real m by n matrix (m ≤ n) |
| F01QKF | Operations with orthogonal matrices, form rows of Q, after RQ factorization by F01QJF |
| F01RGF | RQ factorization of complex m by n upper trapezoidal matrix (m ≤ n) |
| F01RJF | RQ factorization of complex m by n matrix (m ≤ n) |
| F01RKF | Operations with unitary matrices, form rows of Q, after RQ factorization by F01RJF |
| F05AAF | Gram–Schmidt orthogonalisation of n vectors of order m |
| 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 UZ or RQ factorization of ZU, U real upper triangular, Z a sequence of plane rotations |
| F06TPF | QR factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix |
| F06TQF | QR × k 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 UZ or RQ factorization of ZU, U complex upper triangular, Z a sequence of plane rotations |
| F08AEF | QR factorization of real general rectangular matrix |
| F08AFF | Form all or part of orthogonal Q from QR factorization determined by F08AEF or F08BEF |
| F08AGF | Apply orthogonal transformation determined by F08AEF or F08BEF |
| F08AHF | LQ factorization of real general rectangular matrix |
| F08AJF | Form all or part of orthogonal Q from LQ factorization determined by F08AHF |
| F08AKF | Apply orthogonal transformation determined by F08AHF |
| F08ASF | QR factorization of complex general rectangular matrix |
| F08ATF | Form all or part of unitary Q from QR factorization determined by F08ASF or F08BSF |
| F08AUF | Apply unitary transformation determined by F08ASF or F08BSF |
| F08AVF | LQ factorization of complex general rectangular matrix |
| F08AWF | Form all or part of unitary Q from LQ factorization determined by F08AVF |
| F08AXF | Apply unitary transformation determined by F08AVF |
| F08BEF | QR factorization of real general rectangular matrix with column pivoting |
| F08BSF | QR factorization of complex general rectangular matrix with column pivoting |