upper

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, 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
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, 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
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 quasi-triangular or transposes
F08QKF   Left and right eigenvectors of real upper quasi-triangular matrix
F08QLF   Estimates of sensitivities of selected eigenvalues and eigenvectors of real upper quasi-triangular matrix
F08QVF   Solve complex Sylvester matrix equation AX + XB = C, A and B are upper triangular or conjugate-transposes
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 quasi-triangular 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

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© The Numerical Algorithms Group Ltd, Oxford UK. 2001