Functions
magma_int_t	magma_cunglq (magma_int_t m, magma_int_t n, magma_int_t k, magmaFloatComplex A, magma_int_t lda, magmaFloatComplex tau, magmaFloatComplex work, magma_int_t lwork, magma_int_t info)
	Purpose: CUNGLQ generates an M-by-N complex matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order N More...

magma_int_t	magma_dorglq (magma_int_t m, magma_int_t n, magma_int_t k, double A, magma_int_t lda, double tau, double work, magma_int_t lwork, magma_int_t info)
	Purpose: DORGLQ generates an M-by-N real matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order N More...

magma_int_t	magma_sorglq (magma_int_t m, magma_int_t n, magma_int_t k, float A, magma_int_t lda, float tau, float work, magma_int_t lwork, magma_int_t info)
	Purpose: SORGLQ generates an M-by-N real matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order N More...

magma_int_t	magma_zunglq (magma_int_t m, magma_int_t n, magma_int_t k, magmaDoubleComplex A, magma_int_t lda, magmaDoubleComplex tau, magmaDoubleComplex work, magma_int_t lwork, magma_int_t info)
	Purpose: ZUNGLQ generates an M-by-N complex matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order N More...

Detailed Description

Function Documentation

magma_int_t magma_cunglq	(	magma_int_t	m,
		magma_int_t	n,
		magma_int_t	k,
		magmaFloatComplex *	A,
		magma_int_t	lda,
		magmaFloatComplex *	tau,
		magmaFloatComplex *	work,
		magma_int_t	lwork,
		magma_int_t *	info
	)

Purpose:

CUNGLQ generates an M-by-N complex matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order N

Q  =  H(k)**H . . . H(2)**H H(1)**H

as returned by CGELQF.

Arguments:

Parameters

[in]	m	INTEGER The number of rows of the matrix Q. M >= 0.
[in]	n	INTEGER The number of columns of the matrix Q. N >= M.
[in]	k	INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
[in,out]	A	COMPLEX array, dimension (LDA,N) On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by CGELQF in the first k rows of its array argument A. On exit, the M-by-N matrix Q.
[in]	lda	INTEGER The first dimension of the array A. LDA >= max(1,M).
[in]	tau	COMPLEX array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGELQF.
[out]	work	COMPLEX array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array WORK. LWORK >= M*NB, where NB is the optimal blocksize.

If LWORK = -1, a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.

Parameters

[out]

info

INTEGER

= 0: successful exit;
< 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_dorglq	(	magma_int_t	m,
		magma_int_t	n,
		magma_int_t	k,
		double *	A,
		magma_int_t	lda,
		double *	tau,
		double *	work,
		magma_int_t	lwork,
		magma_int_t *	info
	)

Purpose:

DORGLQ generates an M-by-N real matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order N

Q  =  H(k)**H . . . H(2)**H H(1)**H

as returned by DGELQF.

Arguments:

Parameters

[in]	m	INTEGER The number of rows of the matrix Q. M >= 0.
[in]	n	INTEGER The number of columns of the matrix Q. N >= M.
[in]	k	INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
[in,out]	A	DOUBLE PRECISION array, dimension (LDA,N) On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by DGELQF in the first k rows of its array argument A. On exit, the M-by-N matrix Q.
[in]	lda	INTEGER The first dimension of the array A. LDA >= max(1,M).
[in]	tau	DOUBLE PRECISION array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DGELQF.
[out]	work	DOUBLE PRECISION array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array WORK. LWORK >= M*NB, where NB is the optimal blocksize.

If LWORK = -1, a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.

Parameters

[out]

info

INTEGER

= 0: successful exit;
< 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_sorglq	(	magma_int_t	m,
		magma_int_t	n,
		magma_int_t	k,
		float *	A,
		magma_int_t	lda,
		float *	tau,
		float *	work,
		magma_int_t	lwork,
		magma_int_t *	info
	)

Purpose:

SORGLQ generates an M-by-N real matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order N

Q  =  H(k)**H . . . H(2)**H H(1)**H

as returned by SGELQF.

Arguments:

Parameters

[in]	m	INTEGER The number of rows of the matrix Q. M >= 0.
[in]	n	INTEGER The number of columns of the matrix Q. N >= M.
[in]	k	INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
[in,out]	A	REAL array, dimension (LDA,N) On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by SGELQF in the first k rows of its array argument A. On exit, the M-by-N matrix Q.
[in]	lda	INTEGER The first dimension of the array A. LDA >= max(1,M).
[in]	tau	REAL array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGELQF.
[out]	work	REAL array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array WORK. LWORK >= M*NB, where NB is the optimal blocksize.

If LWORK = -1, a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.

Parameters

[out]

info

INTEGER

= 0: successful exit;
< 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_zunglq	(	magma_int_t	m,
		magma_int_t	n,
		magma_int_t	k,
		magmaDoubleComplex *	A,
		magma_int_t	lda,
		magmaDoubleComplex *	tau,
		magmaDoubleComplex *	work,
		magma_int_t	lwork,
		magma_int_t *	info
	)

Purpose:

ZUNGLQ generates an M-by-N complex matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order N

Q  =  H(k)**H . . . H(2)**H H(1)**H

as returned by ZGELQF.

Arguments:

Parameters

[in]	m	INTEGER The number of rows of the matrix Q. M >= 0.
[in]	n	INTEGER The number of columns of the matrix Q. N >= M.
[in]	k	INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
[in,out]	A	COMPLEX_16 array, dimension (LDA,N) On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGELQF in the first k rows of its array argument A. On exit, the M-by-N matrix Q.
[in]	lda	INTEGER The first dimension of the array A. LDA >= max(1,M).
[in]	tau	COMPLEX_16 array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGELQF.
[out]	work	COMPLEX_16 array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array WORK. LWORK >= M*NB, where NB is the optimal blocksize.

If LWORK = -1, a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.

Parameters

[out]

info

INTEGER

= 0: successful exit;
< 0: if INFO = -i, the i-th argument had an illegal value

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Detailed Description

Function Documentation

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