| 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 |
| F03AEF | LLT factorization and determinant of real symmetric positive-definite matrix |
| F03AFF | LU factorization and determinant of real 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 UZ or RQ factorization of ZU, U real upper triangular, Z a sequence of plane rotations |
| F06TPF | QR factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix |
| F06TQF | QR×k 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 UZ or RQ factorization of ZU, U complex upper triangular, Z 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 |
| 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 |
| 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 |
| F08AEF | QR factorization of real general rectangular matrix |
| F08AFF | Form all or part of orthogonal Q from QR factorization determined by F08AEF or F08BEF |
| 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 or F08BSF |
| 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 |
| F08BSF | QR factorization of complex general rectangular matrix with column pivoting |
| F08PEF | Eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix |
| F08PSF | 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 |
| 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 |