| D1: | Elementary vector and matrix operations | (218 routines) |
| D2: | Solution of systems of linear equations (including inversion, LU and related decompositions) | (280 routines) |
| D3: | Determinants | (4 routines) |
| D4: | Eigenvalues, eigenvectors | (156 routines) |
| D5: | QR decomposition, Gram--Schmidt orthogonalization | (53 routines) |
| D6: | Singular value decomposition | (26 routines) |
| D7: | Update matrix decompositions | (0 routines) |
| D8: | Other matrix equations (e.g., AX + XB = C) | (10 routines) |
| D9: | Singular, overdetermined or underdetermined systems of linear equations, generalized inverses | (21 routines) |