F01QGF

RQ factorization of real m by n upper trapezoidal matrix (m ≤ n)

F01RGF

RQ factorization of complex m by n upper trapezoidal matrix (m ≤ n)

F02WUF

SVD of real upper triangular matrix (Black Box)

F02XUF

SVD of complex upper triangular matrix (Black Box)

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 
F06QVF

Compute upper Hessenberg matrix by sequence of plane rotations, real upper triangular matrix

F06QVF

Compute upper Hessenberg matrix by sequence of plane rotations, real upper triangular matrix

F06QWF

Compute upper spiked matrix by sequence of plane rotations, real upper triangular matrix

F06QWF

Compute upper spiked matrix by sequence of plane rotations, real upper triangular matrix

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 
F06TVF

Compute upper Hessenberg matrix by sequence of plane rotations, complex upper triangular matrix

F06TVF

Compute upper Hessenberg matrix by sequence of plane rotations, complex upper triangular matrix

F06TWF

Compute upper spiked matrix by sequence of plane rotations, complex upper triangular matrix

F06TWF

Compute upper spiked matrix by sequence of plane rotations, complex upper triangular matrix

F08NEF

Orthogonal reduction of real general matrix to upper Hessenberg form

F08NSF

Unitary reduction of complex general matrix to upper Hessenberg form

F08PEF

Eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix

F08PKF

Selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration 
F08PSF

Eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix

F08PXF

Selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration 
F08QHF

Solve real Sylvester matrix equation AX + XB = C, A and B are upper quasitriangular or transposes

F08QKF

Left and right eigenvectors of real upper quasitriangular matrix

F08QLF

Estimates of sensitivities of selected eigenvalues and eigenvectors of real upper quasitriangular matrix

F08QVF

Solve complex Sylvester matrix equation AX + XB = C, A and B are upper triangular or conjugatetransposes 
F08QXF

Left and right eigenvectors of complex upper triangular matrix

F08QYF

Estimates of sensitivities of selected eigenvalues and eigenvectors of complex upper triangular matrix

F08WEF

Orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form

F08WSF

Unitary reduction of a pair of complex general matrices to generalized upper Hessenberg form

F08XEF

Eigenvalues and generalized Schur factorization of real generalized upper Hessenberg matrix reduced from a pair of real general matrices

F08XSF

Eigenvalues and generalized Schur factorization of complex generalized upper Hessenberg matrix reduced from a pair of complex general matrices

F08YKF

Left and right eigenvectors of a pair of real upper quasitriangular matrices

F08YXF

Left and right eigenvectors of a pair of complex upper triangular matrices

G01EEF

Computes upper and lower tail probabilities and probability density function for the beta distribution 