F01ABF

Inverse of real symmetric positivedefinite matrix using iterative refinement 
F01ADF

Inverse of real symmetric positivedefinite matrix

F01MCF

LDL^{T} factorization of real symmetric positivedefinite variablebandwidth 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 positivedefinite matrix (Black Box)

F03ACF

Determinant of real symmetric positivedefinite band matrix (Black Box)

F03AEF

LL^{T} factorization and determinant of real symmetric positivedefinite matrix

F04ABF

Solution of real symmetric positivedefinite simultaneous linear equations with multiple righthand sides using iterative refinement (Black Box)

F04ACF

Solution of real symmetric positivedefinite banded simultaneous linear equations with multiple righthand sides (Black Box)

F04AFF

Solution of real symmetric positivedefinite simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AEF)

F04AGF

Solution of real symmetric positivedefinite simultaneous linear equations (coefficient matrix already factorized by F03AEF)

F04ASF

Solution of real symmetric positivedefinite simultaneous linear equations, one righthand side using iterative refinement (Black Box)

F04FAF

Solution of real symmetric positivedefinite tridiagonal simultaneous linear equations, one righthand side (Black Box)

F04FEF

Solution of the Yule–Walker equations for real symmetric positivedefinite Toeplitz matrix, one righthand side

F04FFF

Solution of real symmetric positivedefinite Toeplitz system, one righthand side

F04MCF

Solution of real symmetric positivedefinite variablebandwidth simultaneous linear equations (coefficient matrix already factorized by F01MCF)

F04MEF

Update solution of the Yule–Walker equations for real symmetric positivedefinite Toeplitz matrix

F04MFF

Update solution of real symmetric positivedefinite 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

Matrixvector product, real symmetric matrix

F06PDF

Matrixvector product, real symmetric band matrix

F06PEF

Matrixvector product, real symmetric packed matrix

F06PPF

Rank1 update, real symmetric matrix

F06PQF

Rank1 update, real symmetric packed matrix

F06PRF

Rank2 update, real symmetric matrix

F06PSF

Rank2 update, real symmetric packed matrix

F06QMF

Orthogonal similarity transformation of real symmetric matrix as a sequence of plane rotations 
F06RCF

1norm, ∞norm, Frobenius norm, largest absolute element, real symmetric matrix

F06RDF

1norm, ∞norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage

F06REF

1norm, ∞norm, Frobenius norm, largest absolute element, real symmetric band matrix

F06UFF

1norm, ∞norm, Frobenius norm, largest absolute element, complex symmetric matrix

F06UGF

1norm, ∞norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage

F06UHF

1norm, ∞norm, Frobenius norm, largest absolute element, complex symmetric band matrix

F06YCF

Matrixmatrix product, one real symmetric matrix, one real rectangular matrix

F06YPF

Rankk update of real symmetric matrix

F06YRF

Rank2k update of real symmetric matrix

F06ZTF

Matrixmatrix product, one complex symmetric matrix, one complex rectangular matrix

F06ZUF

Rankk update of complex symmetric matrix

F06ZWF

Rank2k update of complex symmetric matrix

F07FDF

Cholesky factorization of real symmetric positivedefinite matrix

F07FEF

Solution of real symmetric positivedefinite system of linear equations, multiple righthand sides, matrix already factorized by F07FDF 
F07FGF

Estimate condition number of real symmetric positivedefinite matrix, matrix already factorized by F07FDF 
F07FHF

Refined solution with error bounds of real symmetric positivedefinite system of linear equations, multiple righthand sides

F07FJF

Inverse of real symmetric positivedefinite matrix, matrix already factorized by F07FDF 
F07GDF

Cholesky factorization of real symmetric positivedefinite matrix, packed storage

F07GEF

Solution of real symmetric positivedefinite system of linear equations, multiple righthand sides, matrix already factorized by F07GDF, packed storage

F07GGF

Estimate condition number of real symmetric positivedefinite matrix, matrix already factorized by F07GDF, packed storage

F07GHF

Refined solution with error bounds of real symmetric positivedefinite system of linear equations, multiple righthand sides, packed storage

F07GJF

Inverse of real symmetric positivedefinite matrix, matrix already factorized by F07GDF, packed storage

F07HDF

Cholesky factorization of real symmetric positivedefinite band matrix

F07HEF

Solution of real symmetric positivedefinite band system of linear equations, multiple righthand sides, matrix already factorized by F07HDF 
F07HGF

Estimate condition number of real symmetric positivedefinite band matrix, matrix already factorized by F07HDF 
F07HHF

Refined solution with error bounds of real symmetric positivedefinite band system of linear equations, multiple righthand sides

F07MDF

Bunch–Kaufman factorization of real symmetric indefinite matrix

F07MEF

Solution of real symmetric indefinite system of linear equations, multiple righthand 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 righthand 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 righthand 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 righthand 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 righthand 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 righthand 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 righthand 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 righthand 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, rootfree variant of QL or QR 
F08JGF

All eigenvalues and eigenvectors of real symmetric positivedefinite tridiagonal matrix, reduced from real symmetric positivedefinite matrix

F08JGF

All eigenvalues and eigenvectors of real symmetric positivedefinite tridiagonal matrix, reduced from real symmetric positivedefinite 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 positivedefinite tridiagonal matrix, reduced from complex Hermitian positivedefinite 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 positivedefinite 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
