| Chapter Introduction | |
| 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 | ULD LT UT 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 |
| 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 |
| 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 |