Keyword : Upper

F01QGF	$R Q$ factorization of real $m$ by $n$ upper trapezoidal matrix $(m \leq n)$
F01RGF	$R Q$ factorization of complex $m$ by $n$ upper trapezoidal matrix $(m \leq n)$
F02WUF	SVD of real upper triangular matrix (Black Box)
F02XUF	SVD of complex upper triangular matrix (Black Box)
F06QPF	$Q R$ factorization by sequence of plane rotations, rank-1 update of real upper triangular matrix
F06QQF	$Q R$ factorization by sequence of plane rotations, real upper triangular matrix augmented by a full row
F06QRF	$Q R$ or $R Q$ factorization by sequence of plane rotations, real upper Hessenberg matrix
F06QSF	$Q R$ or $R Q$ factorization by sequence of plane rotations, real upper spiked matrix
F06QTF	$Q R$ factorization of $U P$ or $R Q$ factorization of $P U$ , $U$ real upper triangular, $P$ a sequence of plane rotations
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
F06TPF	$Q R$ factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix
F06TQF	$Q R$ factorization by sequence of plane rotations, complex upper triangular matrix augmented by a full row
F06TRF	$Q R$ or $R Q$ factorization by sequence of plane rotations, complex upper Hessenberg matrix
F06TSF	$Q R$ or $R Q$ factorization by sequence of plane rotations, complex upper spiked matrix
F06TTF	$Q R$ factorization of $U P$ or $R Q$ factorization of $P U$ , $U$ complex upper triangular, $P$ a sequence of plane rotations
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
F08BHF	Reduces a real upper trapezoidal matrix to upper triangular form
F08BVF	Reduces a complex upper trapezoidal matrix to upper triangular form
F08NEF	Orthogonal reduction of real general matrix to upper Hessenberg form
F08NSF	Unitary reduction of complex general matrix to upper Hessenberg form
F08PEF	Computes the 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	Computes the 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 $A X + X B = C$ , $A$ 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 $A X + X B = C$ , $A$ 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 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
F08YEF	Computes the generalized singular value decomposition of a real upper triangular (or trapezoidal) matrix pair
F08YKF	Left and right eigenvectors of a pair of real upper quasi-triangular matrices
F08YSF	Computes the generalized singular value decomposition of a complex upper triangular (or trapezoidal) matrix pair
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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NAG Library Manual