| 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 or F08BEF |
| F08AGF | Apply orthogonal transformation determined by F08AEF or F08BEF |
| F08AJF | Form all or part of orthogonal Q from LQ factorization determined by F08AHF |
| F08AKF | Apply orthogonal transformation determined by F08AHF |
| 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 |
| F08WEF | Orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form |
| G03BAF | Computes orthogonal rotations for loading matrix, generalized orthomax criterion |
| G04EAF | Computes orthogonal polynomials or dummy variables for factor/classification variable |
| G05QAF | Computes a random orthogonal matrix |