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complib/cungrq(3) -- generate an M-by-N complex matrix Q with orthonormal rows,
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CUNGRQ generates an M-by-N complex matrix Q with orthonormal rows, which is defined as the last M rows of a product of K elementary reflectors of order N Q = H(1)' H(2)' . . . H(k)' as returned by CGERQF. |
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complib/cungtr(3) -- product of n-1 elementary reflectors of order N, as returned by CHETRD
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CUNGTR generates a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors of order N, as returned by CHETRD: if UPLO = 'U', Q = H(n-1) . . . H(2) H(1), if UPLO = 'L', Q = H(1) H(2) . . . H(n-1). |
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complib/cunm2l(3) -- overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L'
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CUNM2L overwrites the general complex m-by-n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(k) . . . H(2) H(1) as returned by CGEQLF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. |
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complib/cunm2r(3) -- overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L'
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CUNM2R overwrites the general complex m-by-n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by CGEQRF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. |
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complib/cunmbr(3) -- VECT = 'Q', CUNMBR overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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If VECT = 'Q', CUNMBR overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'C': Q**H * C C * Q**H If VECT = 'P', CUNMBR overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': P * C C * P TRANS = 'C': P**H * C C * P**H Here Q and P**H are the unitary matrices determined by CGEBRD when reducing a complex matrix A to bidiagonal form: A = Q * B * P**H. Q and P**H are defined as products of eleme... |
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complib/cunmhr(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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CUNMHR overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix of order nq, with nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of IHI-ILO elementary reflectors, as returned by CGEHRD: Q = H(ilo) H(ilo+1) . . . H(ihi-1). |
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complib/cunml2(3) -- overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L'
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CUNML2 overwrites the general complex m-by-n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(k)' . . . H(2)' H(1)' as returned by CGELQF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. |
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complib/cunmlq(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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CUNMLQ overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(k)' . . . H(2)' H(1)' as returned by CGELQF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. |
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complib/cunmql(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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CUNMQL overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(k) . . . H(2) H(1) as returned by CGEQLF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. |
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complib/cunmqr(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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CUNMQR overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by CGEQRF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. |
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complib/cunmr2(3) -- overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L'
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CUNMR2 overwrites the general complex m-by-n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1)' H(2)' . . . H(k)' as returned by CGERQF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. |
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complib/cunmrq(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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CUNMRQ overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1)' H(2)' . . . H(k)' as returned by CGERQF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. |
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complib/cunmtr(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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CUNMTR overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix of order nq, with nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of nq-1 elementary reflectors, as returned by CHETRD: if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1); if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1). |
