| F01BRF | LU factorization of real sparse matrix |
| F01BSF | LU factorization of real sparse matrix with known sparsity pattern |
| 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 |
| F02WDF | QR factorization, possibly followed by SVD |
| F03BAF | Determinant of real matrix, matrix already factorized by F07ADF |
| F03BFF | Determinant of real symmetric positive definite matrix |
| F03BHF | Determinant of real symmetric positive definite banded matrix |
| F03BNF | Determinant of complex matrix |
| F06QPF | QR factorization by sequence of plane rotations, rank-1 update of real upper triangular matrix |
| F06QQF | QR factorization by sequence of plane rotations, real upper triangular matrix augmented by a full row |
| F06QRF | QR or RQ factorization by sequence of plane rotations, real upper Hessenberg matrix |
| F06QSF | QR or RQ factorization by sequence of plane rotations, real upper spiked matrix |
| F06QTF | QR factorization of UP or RQ factorization of PU, U real upper triangular, P a sequence of plane rotations |
| F06TPF | QR factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix |
| F06TQF | QR factorization by sequence of plane rotations, complex upper triangular matrix augmented by a full row |
| F06TRF | QR or RQ factorization by sequence of plane rotations, complex upper Hessenberg matrix |
| F06TSF | QR or RQ factorization by sequence of plane rotations, complex upper spiked matrix |
| F06TTF | QR factorization of UP or RQ factorization of PU, U complex upper triangular, P a sequence of plane rotations |
| F07ADF | LU factorization of real m by n matrix |
| F07ARF | LU factorization of complex m by n matrix |
| F07BDF | LU factorization of real m by n band matrix |
| F07BRF | LU factorization of complex m by n band matrix |
| F07CDF | LU factorization of real tridiagonal matrix |
| F07CRF | LU factorization of complex tridiagonal matrix |
| F07FDF | Cholesky factorization of real symmetric positive definite matrix |
| F07FRF | Cholesky factorization of complex Hermitian positive definite matrix |
| F07GDF | Cholesky factorization of real symmetric positive definite matrix, packed storage |
| F07GRF | Cholesky factorization of complex Hermitian positive definite matrix, packed storage |
| F07HDF | Cholesky factorization of real symmetric positive definite band matrix |
| F07HRF | Cholesky factorization of complex Hermitian positive definite band matrix |
| F07JDF | Computes the modified Cholesky factorization of a real symmetric positive definite tridiagonal matrix |
| F07JRF | Computes the modified Cholesky factorization of a complex Hermitian positive definite tridiagonal matrix |
| F07KDF | Cholesky factorization of real symmetric positive semidefinite matrix |
| F07KRF | Cholesky factorization of complex Hermitian positive semidefinite matrix |
| F07MDF | Bunch–Kaufman factorization of real symmetric indefinite matrix |
| F07MRF | Bunch–Kaufman factorization of complex Hermitian indefinite matrix |
| F07NRF | Bunch–Kaufman factorization of complex symmetric matrix |
| F07PDF | Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage |
| F07PRF | Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage |
| F07QRF | Bunch–Kaufman factorization of complex symmetric matrix, packed storage |
| F07WDF | Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format |
| F07WRF | Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format |
| F08AEF | QR factorization of real general rectangular matrix |
| F08AFF | Form all or part of orthogonal Q from QR factorization determined by F08AEF, F08BEF or F08BFF |
| F08AHF | LQ factorization of real general rectangular matrix |
| F08AJF | Form all or part of orthogonal Q from LQ factorization determined by F08AHF |
| F08ASF | QR factorization of complex general rectangular matrix |
| F08ATF | Form all or part of unitary Q from QR factorization determined by F08ASF, F08BSF or F08BTF |
| F08AVF | LQ factorization of complex general rectangular matrix |
| F08AWF | Form all or part of unitary Q from LQ factorization determined by F08AVF |
| F08BEF | QR factorization of real general rectangular matrix with column pivoting |
| F08BFF | QR factorization of real general rectangular matrix with column pivoting, using BLAS-3 |
| F08BSF | QR factorization of complex general rectangular matrix with column pivoting |
| F08BTF | QR factorization of complex general rectangular matrix with column pivoting, using BLAS-3 |
| F08CEF | QL factorization of real general rectangular matrix |
| F08CFF | Form all or part of orthogonal Q from QL factorization determined by F08CEF |
| F08CHF | RQ factorization of real general rectangular matrix |
| F08CJF | Form all or part of orthogonal Q from RQ factorization determined by F08CHF |
| F08CSF | QL factorization of complex general rectangular matrix |
| F08CTF | Form all or part of orthogonal Q from QL factorization determined by F08CSF |
| F08CVF | RQ factorization of complex general rectangular matrix |
| F08CWF | Form all or part of orthogonal Q from RQ factorization determined by F08CVF |
| F08PEF | Computes the eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix |
| F08PSF | Computes the eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix |
| F08QFF | Reorder Schur factorization of real matrix using orthogonal similarity transformation |
| F08QGF | Reorder Schur factorization of real matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities |
| F08QTF | Reorder Schur factorization of complex matrix using unitary similarity transformation |
| F08QUF | Reorder Schur factorization of complex matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities |
| F08UFF | Computes a split Cholesky factorization of real symmetric positive definite band matrix A |
| F08UTF | Computes a split Cholesky factorization of complex Hermitian positive definite band matrix A |
| F08XEF | Eigenvalues and generalized Schur factorization of real generalized upper Hessenberg form reduced from a pair of real general matrices |
| F08XSF | Eigenvalues and generalized Schur factorization of complex generalized upper Hessenberg form reduced from a pair of complex general matrices |
| F08ZEF | Computes a generalized QR factorization of a real matrix pair |
| F08ZFF | Computes a generalized RQ factorization of a real matrix pair |
| F08ZSF | Computes a generalized QR factorization of a complex matrix pair |
| F08ZTF | Computes a generalized RQ factorization of a complex matrix pair |
| F11DAF | Real sparse nonsymmetric linear systems, incomplete LU factorization |
| F11DNF | Complex sparse non-Hermitian linear systems, incomplete LU factorization |
| F11JAF | Real sparse symmetric matrix, incomplete Cholesky factorization |
| F11JNF | Complex sparse Hermitian matrix, incomplete Cholesky factorization |
| F11MEF | LU factorization of real sparse matrix |