| 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 |
| F08BFF | QR factorization of real general rectangular matrix with column pivoting, using BLAS-3 |
| F08BHF | Reduces a real upper trapezoidal matrix to upper triangular form |
| F08BKF | Apply orthogonal transformation determined by F08BHF |
| F08BSF | QR factorization of complex general rectangular matrix with column pivoting |
| F08BTF | QR factorization of complex general rectangular matrix with column pivoting, using BLAS-3 |
| F08BVF | Reduces a complex upper trapezoidal matrix to upper triangular form |
| F08BXF | Apply unitary transformation determined by F08BVF |
| F08CEF | QL factorization of real general rectangular matrix |
| F08CFF | Form all or part of orthogonal Q from QL factorization determined by F08CEF |
| F08CGF | Apply orthogonal transformation determined by F08CEF |
| F08CHF | RQ factorization of real general rectangular matrix |
| F08CJF | Form all or part of orthogonal Q from RQ factorization determined by F08CHF |
| F08CKF | Apply orthogonal transformation determined by F08CHF |
| F08CSF | QL factorization of complex general rectangular matrix |
| F08CTF | Form all or part of orthogonal Q from QL factorization determined by F08CSF |
| F08CUF | Apply unitary transformation determined by F08CSF |
| F08CVF | RQ factorization of complex general rectangular matrix |
| F08CWF | Form all or part of orthogonal Q from RQ factorization determined by F08CVF |
| F08CXF | Apply unitary transformation determined by F08CVF |
| F08ZEF | Computes a generalized QR factorization of a real matrix pair |
| F08ZFF | Computes a generalized RQ factorization of a real matrix pair |
| F08ZSF | Computes a generalized QR factorization of a complex matrix pair |
| F08ZTF | Computes a generalized RQ factorization of a complex matrix pair |