| f01edc | Real symmetric matrix exponential |
| f01efc | Function of a real symmetric matrix |
| f01mcc | LDLT factorization of real symmetric positive definite variable-bandwidth (skyline) matrix |
| f02aac | All eigenvalues of real symmetric matrix |
| f02abc | All eigenvalues and eigenvectors of real symmetric matrix |
| f03bfc | LLT factorization and determinant of real symmetric positive definite matrix |
| f03bhc | Determinant of real symmetric positive definite banded matrix |
| f04bdc | Computes the solution and error-bound to a real symmetric positive definite system of linear equations |
| f04bec | Computes the solution and error-bound to a real symmetric positive definite system of linear equations, packed storage |
| f04bfc | Computes the solution and error-bound to a real symmetric positive definite banded system of linear equations |
| f04bgc | Computes the solution and error-bound to a real symmetric positive definite tridiagonal system of linear equations |
| f04bhc | Computes the solution and error-bound to a real symmetric system of linear equations |
| f04bjc | Computes the solution and error-bound to a real symmetric system of linear equations, packed storage |
| f04dhc | Computes the solution and error-bound to a complex symmetric system of linear equations |
| f04djc | Computes the solution and error-bound to a complex symmetric system of linear equations, packed storage |
| f04mcc | Approximate solution of real symmetric positive definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by f01mcc) |
| f07fbc | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations |
| f07fdc | Cholesky factorization of real symmetric positive definite matrix |
| f07fec | Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fdc |
| f07ffc | Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number |
| f07fgc | Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07fdc |
| f07fhc | Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides |
| f07fjc | Inverse of real symmetric positive definite matrix, matrix already factorized by f07fdc |
| f07gac | Computes the solution to a real symmetric positive definite system of linear equations, packed storage |
| f07gbc | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations, packed storage |
| f07gdc | Cholesky factorization of real symmetric positive definite matrix, packed storage |
| f07gec | Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gdc, packed storage |
| f07gfc | Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, packed storage |
| f07ggc | Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07gdc, packed storage |
| f07ghc | Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides, packed storage |
| f07gjc | Inverse of real symmetric positive definite matrix, matrix already factorized by f07gdc, packed storage |
| f07hac | Computes the solution to a real symmetric positive definite banded system of linear equations |
| f07hbc | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations |
| f07hdc | Cholesky factorization of real symmetric positive definite band matrix |
| f07hec | Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hdc |
| f07hfc | Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number |
| f07hgc | Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hdc |
| f07hhc | Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides |
| f07jac | Computes the solution to a real symmetric positive definite tridiagonal system of linear equations |
| f07jbc | Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite tridiagonal system of linear equations |
| f07jdc | Computes the modified Cholesky factorization of a real symmetric positive definite tridiagonal matrix |
| f07jec | Solves a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by f07jdc |
| f07jgc | Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by f07jdc |
| f07jhc | Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides |
| f07mdc | Bunch–Kaufman factorization of real symmetric indefinite matrix |
| f07mec | Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mdc |
| f07mgc | Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07mdc |
| f07mhc | Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides |
| f07mjc | Inverse of real symmetric indefinite matrix, matrix already factorized by f07mdc |
| f07nrc | Bunch–Kaufman factorization of complex symmetric matrix |
| f07nsc | Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07nrc |
| f07nuc | Estimate condition number of complex symmetric matrix, matrix already factorized by f07nrc |
| f07nvc | Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides |
| f07nwc | Inverse of complex symmetric matrix, matrix already factorized by f07nrc |
| f07pac | Computes the solution to a real symmetric system of linear equations, packed storage |
| f07pbc | Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage |
| f07pdc | Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage |
| f07pec | Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pdc, packed storage |
| f07pgc | Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage |
| f07phc | Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage |
| f07pjc | Inverse of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage |
| f07qnc | Computes the solution to a complex symmetric system of linear equations, packed storage |
| f07qpc | Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage |
| f07qrc | Bunch–Kaufman factorization of complex symmetric matrix, packed storage |
| f07qsc | Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07qrc, packed storage |
| f07quc | Estimate condition number of complex symmetric matrix, matrix already factorized by f07qrc, packed storage |
| f07qvc | Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage |
| f07qwc | Inverse of complex symmetric matrix, matrix already factorized by f07qrc, packed storage |
| f08fac | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
| f08fbc | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
| f08fcc | Computes all eigenvalues and, optionally, all eigenvectors of real symmetric matrix (divide-and-conquer) |
| f08fdc | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix (Relatively Robust Representations) |
| f08fec | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form |
| f08flc | Computes the reciprocal condition numbers for the eigenvectors of a real symmetric or complex Hermitian matrix or for the left or right singular vectors of a general matrix |
| f08fsc | Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form |
| f08gac | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage |
| f08gbc | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage |
| f08gcc | Computes all eigenvalues and, optionally, all eigenvectors of real symmetric matrix, packed storage (divide-and-conquer) |
| f08gec | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage |
| f08gsc | Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage |
| f08hac | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
| f08hbc | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
| f08hcc | Computes all eigenvalues and, optionally, all eigenvectors of real symmetric band matrix (divide-and-conquer) |
| f08hec | Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |
| f08hsc | Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form |
| f08jbc | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix |
| f08jcc | Computes all eigenvalues and, optionally, all eigenvectors of real symmetric tridiagonal matrix (divide-and-conquer) |
| f08jdc | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix (Relatively Robust Representations) |
| f08jec | All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using the implicit QL or QR algorithm |
| f08jfc | All eigenvalues of real symmetric tridiagonal matrix, root-free variant of the QL or QR algorithm |
| f08jgc | Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from real symmetric positive definite matrix |
| f08jhc | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a matrix reduced to this form (divide-and-conquer) |
| f08jjc | Selected eigenvalues of real symmetric tridiagonal matrix by bisection |
| f08jkc | Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array |
| f08jlc | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a symmetric matrix reduced to this form (Relatively Robust Representations) |
| f08jsc | All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using the implicit QL or QR algorithm |
| f08juc | Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from complex Hermitian positive definite matrix |
| f08jvc | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (divide-and-conquer) |
| f08jxc | Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array |
| f08jyc | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (Relatively Robust Representations) |
| f08ufc | Computes a split Cholesky factorization of real symmetric positive definite band matrix A |
| f11gdc | Real sparse symmetric linear systems, setup for f11gec |
| f11gec | Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos method or the MINRES algorithm |
| f11gfc | Real sparse symmetric linear systems, diagnostic for f11gec |
| f11jac | Incomplete Cholesky factorization (symmetric) |
| f11jcc | Solver with incomplete Cholesky preconditioning (symmetric) |
| f11jdc | Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix |
| f11jec | Solver with Jacobi, SSOR, or no preconditioning (symmetric) |
| f11xec | Real sparse symmetric matrix vector multiply |
| f11zbc | Sparse sort (symmetric) |
| f16pcc | Matrix-vector product, real symmetric matrix |
| f16pdc | Matrix-vector product, real symmetric band matrix |
| f16pec | Matrix-vector product, real symmetric packed matrix |
| f16ppc | Rank-1 update, real symmetric matrix |
| f16pqc | Rank-1 update, real symmetric packed matrix |
| f16prc | Rank-2 update, real symmetric matrix |
| f16psc | Rank-2 update, real symmetric packed matrix |
| f16rcc | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric matrix |
| f16rdc | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage |
| f16rec | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric band matrix |
| f16tac | Matrix-vector product, complex symmetric matrix |
| f16tcc | Matrix-vector product, complex symmetric packed matrix |
| f16ufc | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric matrix |
| f16ugc | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage |
| f16ycc | Matrix-matrix product, one real symmetric matrix, one real rectangular matrix |
| f16ypc | Rank-k update of a real symmetric matrix |
| f16yrc | Rank-2k update of a real symmetric matrix |
| f16ztc | Matrix-matrix product, one complex symmetric matrix, one complex rectangular matrix |
| f16zuc | Rank-k update of a complex symmetric matrix |
| f16zwc | Rank-2k update of a complex symmetric matrix |