| F01QKF | Operations with orthogonal matrices, form rows of Q, after RQ factorization by F01QJF |
| F06QMF | Orthogonal similarity transformation of real symmetric matrix as a sequence of plane rotations |
| F08AFF | Form all or part of orthogonal Q from QR factorization determined by F08AEF, F08BEF or F08BFF |
| F08AGF | Apply orthogonal transformation determined by F08AEF, F08BEF or F08BFF |
| F08AJF | Form all or part of orthogonal Q from LQ factorization determined by F08AHF |
| F08AKF | Apply orthogonal transformation determined by F08AHF |
| F08BHF | Reduces a real upper trapezoidal matrix to upper triangular form |
| F08BKF | Apply orthogonal transformation determined by F08BHF |
| F08CFF | Form all or part of orthogonal Q from QL factorization determined by F08CEF |
| F08CGF | Apply orthogonal transformation determined by F08CEF |
| F08CJF | Form all or part of orthogonal Q from RQ factorization determined by F08CHF |
| F08CKF | Apply orthogonal transformation determined by F08CHF |
| F08FEF | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form |
| F08FFF | Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08FEF |
| F08FGF | Apply orthogonal transformation determined by F08FEF |
| F08GEF | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage |
| F08GFF | Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08GEF |
| F08GGF | Apply orthogonal transformation determined by F08GEF |
| F08HEF | Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |
| F08KEF | Orthogonal reduction of real general rectangular matrix to bidiagonal form |
| F08KFF | Generate orthogonal transformation matrices from reduction to bidiagonal form determined by F08KEF |
| F08KGF | Apply orthogonal transformations from reduction to bidiagonal form determined by F08KEF |
| F08NEF | Orthogonal reduction of real general matrix to upper Hessenberg form |
| F08NFF | Generate orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |
| F08NGF | Apply orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |
| F08QFF | Reorder Schur factorization of real matrix using orthogonal similarity transformation |
| F08VEF | Computes orthogonal matrices as processing steps for computing the generalized singular value decomposition of a real matrix pair |
| F08VSF | Computes orthogonal matrices as processing steps for computing the generalized singular value decomposition of a complex matrix pair |
| F08WEF | Orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form |
| F08YFF | Reorders the generalized real Schur decomposition of a real matrix pair using an orthogonal equivalence transformation |
| F08YGF | Reorders the generalized real Schur decomposition of a real matrix pair using an orthogonal equivalence transformation, computes the generalized eigenvalues of the reordered pair and, optionally, computes the estimates of reciprocal condition numbers for eigenvalues and eigenspaces |
| G03BAF | Computes orthogonal rotations for loading matrix, generalized orthomax criterion |
| G04EAF | Computes orthogonal polynomials or dummy variables for factor/classification variable |
| G05PXF | Generates a random orthogonal matrix |