| F01ABF | Inverse of real symmetric positive-definite matrix using iterative refinement |
| F01ADF | Inverse of real symmetric positive-definite matrix |
| F01MCF | LDLT factorization of real symmetric positive-definite variable-bandwidth matrix |
| F02FAF | All eigenvalues and eigenvectors of real symmetric matrix (Black Box) |
| F02FCF | Selected eigenvalues and eigenvectors of real symmetric matrix (Black Box) |
| F02FJF | Selected eigenvalues and eigenvectors of sparse symmetric eigenproblem (Black Box) |
| F03ABF | Determinant of real symmetric positive-definite matrix (Black Box) |
| F03ACF | Determinant of real symmetric positive-definite band matrix (Black Box) |
| F03AEF | LLT factorization and determinant of real symmetric positive-definite matrix |
| F04ABF | Solution of real symmetric positive-definite simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box) |
| F04ACF | Solution of real symmetric positive-definite banded simultaneous linear equations with multiple right-hand sides (Black Box) |
| F04AFF | Solution of real symmetric positive-definite simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AEF) |
| F04AGF | Solution of real symmetric positive-definite simultaneous linear equations (coefficient matrix already factorized by F03AEF) |
| F04ASF | Solution of real symmetric positive-definite simultaneous linear equations, one right-hand side using iterative refinement (Black Box) |
| F04FAF | Solution of real symmetric positive-definite tridiagonal simultaneous linear equations, one right-hand side (Black Box) |
| F04FEF | Solution of the Yule–Walker equations for real symmetric positive-definite Toeplitz matrix, one right-hand side |
| F04FFF | Solution of real symmetric positive-definite Toeplitz system, one right-hand side |
| F04MCF | Solution of real symmetric positive-definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by F01MCF) |
| F04MEF | Update solution of the Yule–Walker equations for real symmetric positive-definite Toeplitz matrix |
| F04MFF | Update solution of real symmetric positive-definite Toeplitz system |
| F06BHF | Apply real similarity rotation to 2 by 2 symmetric matrix |
| F06BPF | Compute eigenvalue of 2 by 2 real symmetric matrix |
| F06FPF | Apply real symmetric plane rotation to two vectors |
| F06PCF | Matrix-vector product, real symmetric matrix |
| F06PDF | Matrix-vector product, real symmetric band matrix |
| F06PEF | Matrix-vector product, real symmetric packed matrix |
| F06PPF | Rank-1 update, real symmetric matrix |
| F06PQF | Rank-1 update, real symmetric packed matrix |
| F06PRF | Rank-2 update, real symmetric matrix |
| F06PSF | Rank-2 update, real symmetric packed matrix |
| F06QMF | Orthogonal similarity transformation of real symmetric matrix as a sequence of plane rotations |
| F06RCF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric matrix |
| F06RDF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage |
| F06REF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric band matrix |
| F06UFF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric matrix |
| F06UGF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage |
| F06UHF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric band matrix |
| F06YCF | Matrix-matrix product, one real symmetric matrix, one real rectangular matrix |
| F06YPF | Rank-k update of real symmetric matrix |
| F06YRF | Rank-2k update of real symmetric matrix |
| F06ZTF | Matrix-matrix product, one complex symmetric matrix, one complex rectangular matrix |
| F06ZUF | Rank-k update of complex symmetric matrix |
| F06ZWF | Rank-2k update of complex symmetric matrix |
| F07FDF | Cholesky factorization of real symmetric positive-definite matrix |
| F07FEF | Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FDF |
| F07FGF | Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by F07FDF |
| F07FHF | Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides |
| F07FJF | Inverse of real symmetric positive-definite matrix, matrix already factorized by F07FDF |
| F07GDF | Cholesky factorization of real symmetric positive-definite matrix, packed storage |
| F07GEF | Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GDF, packed storage |
| F07GGF | Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by F07GDF, packed storage |
| F07GHF | Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides, packed storage |
| F07GJF | Inverse of real symmetric positive-definite matrix, matrix already factorized by F07GDF, packed storage |
| F07HDF | Cholesky factorization of real symmetric positive-definite band matrix |
| F07HEF | Solution of real symmetric positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HDF |
| F07HGF | Estimate condition number of real symmetric positive-definite band matrix, matrix already factorized by F07HDF |
| F07HHF | Refined solution with error bounds of real symmetric positive-definite band system of linear equations, multiple right-hand sides |
| F07MDF | Bunch–Kaufman factorization of real symmetric indefinite matrix |
| F07MEF | Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MDF |
| F07MGF | Estimate condition number of real symmetric indefinite matrix, matrix already factorized by F07MDF |
| F07MHF | Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides |
| F07MJF | Inverse of real symmetric indefinite matrix, matrix already factorized by F07MDF |
| F07NRF | Bunch–Kaufman factorization of complex symmetric matrix |
| F07NSF | Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07NRF |
| F07NUF | Estimate condition number of complex symmetric matrix, matrix already factorized by F07NRF |
| F07NVF | Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides |
| F07NWF | Inverse of complex symmetric matrix, matrix already factorized by F07NRF |
| F07PDF | Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage |
| F07PEF | Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PDF, packed storage |
| F07PGF | Estimate condition number of real symmetric indefinite matrix, matrix already factorized by F07PDF, packed storage |
| F07PHF | Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage |
| F07PJF | Inverse of real symmetric indefinite matrix, matrix already factorized by F07PDF, packed storage |
| F07QRF | Bunch–Kaufman factorization of complex symmetric matrix, packed storage |
| F07QSF | Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07QRF, packed storage |
| F07QUF | Estimate condition number of complex symmetric matrix, matrix already factorized by F07QRF, packed storage |
| F07QVF | Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage |
| F07QWF | Inverse of complex symmetric matrix, matrix already factorized by F07QRF, packed storage |
| F08FCF | All eigenvalues and optionally all eigenvectors of real symmetric matrix, using divide and conquer |
| F08FEF | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form |
| F08FEF | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form |
| F08FSF | Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form |
| F08GCF | All eigenvalues and optionally all eigenvectors of real symmetric matrix, packed storage, using divide and conquer |
| F08GEF | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage |
| F08GEF | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage |
| F08GSF | Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage |
| F08HCF | All eigenvalues and optionally all eigenvectors of real symmetric band matrix, using divide and conquer |
| F08HEF | Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |
| F08HEF | Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |
| F08HSF | Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form |
| F08JCF | All eigenvalues and optionally all eigenvectors of real symmetric tridiagonal matrix, using divide and conquer |
| F08JEF | All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using implicit QL or QR |
| F08JEF | All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using implicit QL or QR |
| F08JFF | All eigenvalues of real symmetric tridiagonal matrix, root-free variant of QL or QR |
| F08JGF | All eigenvalues and eigenvectors of real symmetric positive-definite tridiagonal matrix, reduced from real symmetric positive-definite matrix |
| F08JGF | All eigenvalues and eigenvectors of real symmetric positive-definite tridiagonal matrix, reduced from real symmetric positive-definite matrix |
| F08JJF | Selected eigenvalues of real symmetric tridiagonal matrix by bisection |
| F08JKF | Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array |
| F08JSF | All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using implicit QL or QR |
| F08JUF | All eigenvalues and eigenvectors of real symmetric positive-definite tridiagonal matrix, reduced from complex Hermitian positive-definite matrix |
| F08JXF | Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array |
| F08UFF | Computes a split Cholesky factorization of real symmetric positive-definite band matrix A |
| F11GDF | Real sparse symmetric linear systems, setup for F11GEF |
| F11GEF | Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos |
| F11GFF | Real sparse symmetric linear systems, diagnostic for F11GEF |
| F11GRF | Complex sparse symmetric linear systems, setup for F11GEF |
| F11GSF | Complex sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos |
| F11GTF | Complex sparse symmetric linear systems, diagnostic for F11GEF |
| F11JAF | Real sparse symmetric matrix, incomplete Cholesky factorization |
| F11JCF | Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JAF (Black Box) |
| F11JDF | Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix |
| F11JEF | Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box) |
| F11XEF | Real sparse symmetric matrix vector multiply |
| F11ZBF | Real sparse symmetric matrix reorder routine |