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D5 : QR decomposition, Gram--Schmidt orthogonalization

f08aec    nag_dgeqrf
QR factorization of real general rectangular matrix
f08afc    nag_dorgqr
Form all or part of orthogonal Q from QR factorization determined by f08aec, f08bec or f08bfc
f08agc    nag_dormqr
Apply orthogonal transformation determined by f08aec, f08bec or f08bfc
f08ahc    nag_dgelqf
LQ factorization of real general rectangular matrix
f08ajc    nag_dorglq
Form all or part of orthogonal Q from LQ factorization determined by f08ahc
f08akc    nag_dormlq
Apply orthogonal transformation determined by f08ahc
f08asc    nag_zgeqrf
QR factorization of complex general rectangular matrix
f08atc    nag_zungqr
Form all or part of unitary Q from QR factorization determined by f08asc, f08bsc or f08btc
f08auc    nag_zunmqr
Apply unitary transformation determined by f08asc, f08bsc or f08btc
f08avc    nag_zgelqf
LQ factorization of complex general rectangular matrix
f08awc    nag_zunglq
Form all or part of unitary Q from LQ factorization determined by f08avc
f08axc    nag_zunmlq
Apply unitary transformation determined by f08avc
f08bec    nag_dgeqpf
QR factorization of real general rectangular matrix with column pivoting
f08bfc    nag_dgeqp3
QR factorization of real general rectangular matrix with column pivoting, using BLAS-3
f08bhc    nag_dtzrzf
Reduces a real upper trapezoidal matrix to upper triangular form
f08bkc    nag_dormrz
Apply orthogonal transformation determined by f08bhc
f08bsc    nag_zgeqpf
QR factorization of complex general rectangular matrix with column pivoting
f08btc    nag_zgeqp3
QR factorization of complex general rectangular matrix with column pivoting, using BLAS-3
f08bvc    nag_ztzrzf
Reduces a complex upper trapezoidal matrix to upper triangular form
f08bxc    nag_zunmrz
Apply unitary transformation determined by f08bvc
f08cec    nag_dgeqlf
QL factorization of real general rectangular matrix
f08cfc    nag_dorgql
Form all or part of orthogonal Q from QL factorization determined by f08cec
f08cgc    nag_dormql
Apply orthogonal transformation determined by f08cec
f08chc    nag_dgerqf
RQ factorization of real general rectangular matrix
f08cjc    nag_dorgrq
Form all or part of orthogonal Q from RQ factorization determined by f08chc
f08ckc    nag_dormrq
Apply orthogonal transformation determined by f08chc
f08csc    nag_zgeqlf
QL factorization of complex general rectangular matrix
f08ctc    nag_zungql
Form all or part of orthogonal Q from QL factorization determined by f08csc
f08cuc    nag_zunmql
Apply unitary transformation determined by f08csc
f08cvc    nag_zgerqf
RQ factorization of complex general rectangular matrix
f08cwc    nag_zungrq
Form all or part of orthogonal Q from RQ factorization determined by f08cvc
f08cxc    nag_zunmrq
Apply unitary transformation determined by f08cvc
f08zec    nag_dggqrf
Computes a generalized QR factorization of a real matrix pair
f08zfc    nag_dggrqf
Computes a generalized RQ factorization of a real matrix pair
f08zsc    nag_zggqrf
Computes a generalized QR factorization of a complex matrix pair
f08ztc    nag_zggrqf
Computes a generalized RQ factorization of a complex matrix pair

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© The Numerical Algorithms Group Ltd, Oxford UK. 2012