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GAMS Classification for the NAG Library
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D5 : QR decomposition, Gram--Schmidt orthogonalization

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
F05AAF    Gram–Schmidt orthogonalization of n vectors of order m
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 UP or RQ factorization of PU, U real upper triangular, P a sequence of plane rotations
F06TPF    QR factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix
F06TQF    QR 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 UP or RQ factorization of PU, U complex upper triangular, P a sequence of plane rotations
F08AEF    QR factorization of real general rectangular matrix
F08AFF    Form all or part of orthogonal Q from QR factorization determined by F08AEF, F08BEF or F08BFF
F08AGF    Apply orthogonal transformation determined by F08AEF, F08BEF or F08BFF
F08AHF    LQ factorization of real general rectangular matrix
F08AJF    Form all or part of orthogonal Q from LQ factorization determined by F08AHF
F08AKF    Apply orthogonal transformation 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, F08BSF or F08BTF
F08AUF    Apply unitary transformation determined by F08ASF, F08BSF or F08BTF
F08AVF    LQ factorization of complex general rectangular matrix
F08AWF    Form all or part of unitary Q from LQ factorization determined by F08AVF
F08AXF    Apply unitary transformation 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 BLAS-3
F08BHF    Reduces a real upper trapezoidal matrix to upper triangular form
F08BKF    Apply orthogonal transformation determined by F08BHF
F08BSF    QR factorization of complex general rectangular matrix with column pivoting
F08BTF    QR factorization of complex general rectangular matrix with column pivoting, using BLAS-3
F08BVF    Reduces a complex upper trapezoidal matrix to upper triangular form
F08BXF    Apply unitary transformation determined by F08BVF
F08CEF    QL factorization of real general rectangular matrix
F08CFF    Form all or part of orthogonal Q from QL factorization determined by F08CEF
F08CGF    Apply orthogonal transformation 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
F08CKF    Apply orthogonal transformation 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
F08CUF    Apply unitary transformation 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
F08CXF    Apply unitary transformation determined by F08CVF
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
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© The Numerical Algorithms Group Ltd, Oxford UK. 2013