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

LDL^{T} factorization of real symmetric positivedefinite variablebandwidth 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

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

F03AFF

LU factorization and determinant of real matrix

F06QPF

QR factorization by sequence of plane rotations, rank1 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, rank1 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

F07CDF

LU factorization of real tridiagonal matrix

F07CRF

LU factorization of complex tridiagonal matrix

F07FDF

Cholesky factorization of real symmetric positivedefinite matrix 
F07FRF

Cholesky factorization of complex Hermitian positivedefinite matrix 
F07GDF

Cholesky factorization of real symmetric positivedefinite matrix, packed storage 
F07GRF

Cholesky factorization of complex Hermitian positivedefinite matrix, packed storage 
F07HDF

Cholesky factorization of real symmetric positivedefinite band matrix 
F07HRF

Cholesky factorization of complex Hermitian positivedefinite band matrix 
F07JDF

Computes the modified Cholesky factorization of a real symmetric positivedefinite tridiagonal matrix 
F07JRF

Computes the modified Cholesky factorization of a complex Hermitian positivedefinite tridiagonal 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

F08BFF

QR factorization of real general rectangular matrix with column pivoting, using BLAS3

F08BSF

QR factorization of complex general rectangular matrix with column pivoting

F08BTF

QR factorization of complex general rectangular matrix with column pivoting, using BLAS3

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

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 positivedefinite band matrix A 
F08UTF

Computes a split Cholesky factorization of complex Hermitian positivedefinite 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 nonHermitian 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
