| F01ABF | Inverse of real symmetric positive definite matrix using iterative refinement |
| F01ADF | Inverse of real symmetric positive definite matrix |
| F01BLF | Pseudo-inverse and rank of real m by n matrix (m ≥ n) |
| F01BRF | LU factorization of real sparse matrix |
| F01BSF | LU factorization of real sparse matrix with known sparsity pattern |
| F01BUF | ULDLTUT factorization of real symmetric positive definite band matrix |
| F01BVF | Reduction to standard form, generalized real symmetric-definite banded eigenproblem |
| F01CKF | Matrix multiplication |
| F01CRF | Matrix transposition |
| F01CTF | Sum or difference of two real matrices, optional scaling and transposition |
| F01CWF | Sum or difference of two complex matrices, optional scaling and transposition |
| F01EFF | Function of a real symmetric matrix |
| F01ELF | Function of a real matrix (using numerical differentiation) |
| F01EMF | Function of a real matrix (using user-supplied derivatives) |
| F01FCF | Complex matrix exponential |
| F01FDF | Complex Hermitian matrix exponential |
| F01FFF | Function of a complex Hermitian matrix |
| F01FJF | Complex matrix logarithm |
| F01FKF | Exponential, sine, cosine, sinh or cosh of a complex matrix (Schur–Parlett algorithm) |
| F01FLF | Function of a complex matrix (using numerical differentiation) |
| F01FMF | Function of a complex matrix (using user-supplied derivatives) |
| F01GAF | Action of a real matrix exponential on a real matrix |
| F01JBF | Condition number for a function of a real matrix (using numerical differentiation) |
| F01JCF | Condition number for a function of a real matrix (using user-supplied derivatives) |
| F01KAF | Condition number for the exponential, logarithm, sine, cosine, sinh or cosh of a complex matrix |
| F01KBF | Condition number for a function of a complex matrix (using numerical differentiation) |
| F01KCF | Condition number for a function of a complex matrix (using user-supplied derivatives) |
| F01LEF | LU factorization of real tridiagonal matrix |
| F01LHF | LU factorization of real almost block diagonal matrix |
| F01MCF | LDLT factorization of real symmetric positive definite variable-bandwidth matrix |
| 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 |
| F01VAF | Copies a real triangular matrix from full format to packed format scheme |
| F01VBF | Copies a complex triangular matrix from full format to packed format scheme |
| F01VCF | Copies a real triangular matrix from packed format to full format scheme |
| F01VDF | Copies a complex triangular matrix from packed format to full format scheme |
| F01VEF | Copies a real triangular matrix from full format to Rectangular Full Packed format scheme |
| F01VFF | Copies a complex triangular matrix from full format to Rectangular Full Packed format scheme |
| F01VGF | Copies a real triangular matrix from Rectangular Full Packed format to full format scheme |
| F01VHF | Copies a complex triangular matrix from Rectangular Full Packed format to full format scheme |
| F01VJF | Copies a real triangular matrix from packed format to Rectangular Full Packed format scheme |
| F01VKF | Copies a complex triangular matrix from packed format to Rectangular Full Packed format scheme |
| F01VLF | Copies a real triangular matrix from Rectangular Full Packed format to packed format scheme |
| F01VMF | Copies a complex triangular matrix from Rectangular Full Packed format to packed format scheme |
| F01ZAF | Convert real matrix between packed triangular and square storage schemes |
| F01ZBF | Convert complex matrix between packed triangular and square storage schemes |
| F01ZCF | Convert real matrix between packed banded and rectangular storage schemes |
| F01ZDF | Convert complex matrix between packed banded and rectangular storage schemes |
| F02ECF | Selected eigenvalues and eigenvectors of real nonsymmetric matrix (Black Box) |
| F02FJF | Selected eigenvalues and eigenvectors of sparse symmetric eigenproblem (Black Box) |
| F02GCF | Selected eigenvalues and eigenvectors of complex nonsymmetric matrix (Black Box) |
| F02SDF | Eigenvector of generalized real banded eigenproblem by inverse iteration |
| F02WDF | QR factorization, possibly followed by SVD |
| F02WGF | Computes leading terms in the singular value decomposition of a real general matrix; also computes corresponding left and right singular vectors |
| F02WUF | SVD of real upper triangular matrix (Black Box) |
| F02XUF | SVD of complex upper triangular matrix (Black Box) |