| Routine Name |
Mark of Introduction |
Purpose |
| F01ABF Example Text Example Data |
1 | Inverse of real symmetric positive-definite matrix using iterative refinement |
| F01ADF Example Text Example Data |
2 | Inverse of real symmetric positive-definite matrix |
| F01BLF Example Text Example Data |
5 | Pseudo-inverse and rank of real m by n matrix (m≥n) |
| F01BRF Example Text Example Data |
7 | LU factorization of real sparse matrix |
| F01BSF Example Text Example Data |
7 | LU factorization of real sparse matrix with known sparsity pattern |
| F01BUF Example Text Example Data |
7 | ULDLTUT factorization of real symmetric positive-definite band matrix |
| F01BVF Example Text Example Data |
7 | Reduction to standard form, generalized real symmetric-definite banded eigenproblem |
| F01CKF Example Text |
2 | Matrix multiplication |
| F01CRF Example Text |
7 | Matrix transposition |
| F01CTF Example Text Example Data |
14 | Sum or difference of two real matrices, optional scaling and transposition |
| F01CWF Example Text Example Data |
14 | Sum or difference of two complex matrices, optional scaling and transposition |
| F01LEF Example Text Example Data |
11 | LU factorization of real tridiagonal matrix |
| F01LHF Example Text Example Data |
13 | LU factorization of real almost block diagonal matrix |
| F01MCF Example Text Example Data |
8 | LDLT factorization of real symmetric positive-definite variable-bandwidth matrix |
| F01QGF Example Text Example Data |
14 | RQ factorization of real m by n upper trapezoidal matrix (m≤n) |
| F01QJF Example Text Example Data |
14 | RQ factorization of real m by n matrix (m≤n) |
| F01QKF Example Text Example Data |
14 | Operations with orthogonal matrices, form rows of Q, after RQ factorization by F01QJF |
| F01RGF Example Text Example Data |
14 | RQ factorization of complex m by n upper trapezoidal matrix (m≤n) |
| F01RJF Example Text Example Data |
14 | RQ factorization of complex m by n matrix (m≤n) |
| F01RKF Example Text Example Data |
14 | Operations with unitary matrices, form rows of Q, after RQ factorization by F01RJF |
| F01ZAF Example Text Example Data |
14 | Convert real matrix between packed triangular and square storage schemes |
| F01ZBF Example Text Example Data |
14 | Convert complex matrix between packed triangular and square storage schemes |
| F01ZCF Example Text Example Data |
14 | Convert real matrix between packed banded and rectangular storage schemes |
| F01ZDF Example Text Example Data |
14 | Convert complex matrix between packed banded and rectangular storage schemes |