gels: Least squares solves Ax = b using QR factorization (driver)

Functions
magma_int_t	magma_cgels (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaFloatComplex_ptr A, magma_int_t lda, magmaFloatComplex_ptr B, magma_int_t ldb, magmaFloatComplex *hwork, magma_int_t lwork, magma_int_t *info)
	CGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_cgels3_gpu (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaFloatComplex_ptr dA, magma_int_t ldda, magmaFloatComplex_ptr dB, magma_int_t lddb, magmaFloatComplex *hwork, magma_int_t lwork, magma_int_t *info)
	CGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_cgels_gpu (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaFloatComplex_ptr dA, magma_int_t ldda, magmaFloatComplex_ptr dB, magma_int_t lddb, magmaFloatComplex *hwork, magma_int_t lwork, magma_int_t *info)
	CGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_dgels (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaDouble_ptr A, magma_int_t lda, magmaDouble_ptr B, magma_int_t ldb, double *hwork, magma_int_t lwork, magma_int_t *info)
	DGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_dgels3_gpu (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaDouble_ptr dA, magma_int_t ldda, magmaDouble_ptr dB, magma_int_t lddb, double *hwork, magma_int_t lwork, magma_int_t *info)
	DGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_dgels_gpu (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaDouble_ptr dA, magma_int_t ldda, magmaDouble_ptr dB, magma_int_t lddb, double *hwork, magma_int_t lwork, magma_int_t *info)
	DGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_sgels (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaFloat_ptr A, magma_int_t lda, magmaFloat_ptr B, magma_int_t ldb, float *hwork, magma_int_t lwork, magma_int_t *info)
	SGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_sgels3_gpu (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaFloat_ptr dA, magma_int_t ldda, magmaFloat_ptr dB, magma_int_t lddb, float *hwork, magma_int_t lwork, magma_int_t *info)
	SGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_sgels_gpu (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaFloat_ptr dA, magma_int_t ldda, magmaFloat_ptr dB, magma_int_t lddb, float *hwork, magma_int_t lwork, magma_int_t *info)
	SGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_zgels (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaDoubleComplex_ptr A, magma_int_t lda, magmaDoubleComplex_ptr B, magma_int_t ldb, magmaDoubleComplex *hwork, magma_int_t lwork, magma_int_t *info)
	ZGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_zgels3_gpu (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaDoubleComplex_ptr dA, magma_int_t ldda, magmaDoubleComplex_ptr dB, magma_int_t lddb, magmaDoubleComplex *hwork, magma_int_t lwork, magma_int_t *info)
	ZGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...
magma_int_t	magma_zgels_gpu (magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t nrhs, magmaDoubleComplex_ptr dA, magma_int_t ldda, magmaDoubleComplex_ptr dB, magma_int_t lddb, magmaDoubleComplex *hwork, magma_int_t lwork, magma_int_t *info)
	ZGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A. More...

Detailed Description

Function Documentation

magma_int_t magma_cgels	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloatComplex_ptr	A,
		magma_int_t	lda,
		magmaFloatComplex_ptr	B,
		magma_int_t	ldb,
		magmaFloatComplex *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

CGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	A	COMPLEX array, dimension (LDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by CGEQRF.
[in]	lda	INTEGER The leading dimension of the array A, LDA >= M.
[in,out]	B	COMPLEX array, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	ldb	INTEGER The leading dimension of the array B. LDB >= M.
[out]	hwork	(workspace) COMPLEX array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= max( N*NB, 2*NB*NB ), where NB is the blocksize given by magma_get_cgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_cgels3_gpu	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		magmaFloatComplex_ptr	dB,
		magma_int_t	lddb,
		magmaFloatComplex *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

CGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	dA	COMPLEX array, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by CGEQRF3.
[in]	ldda	INTEGER The leading dimension of the array A, LDDA >= M.
[in,out]	dB	COMPLEX array on the GPU, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array dB. LDDB >= M.
[out]	hwork	(workspace) COMPLEX array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= (M - N + NB)*(NRHS + NB) + NRHS*NB, where NB is the blocksize given by magma_get_cgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_cgels_gpu	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		magmaFloatComplex_ptr	dB,
		magma_int_t	lddb,
		magmaFloatComplex *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

CGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	dA	COMPLEX array on the GPU, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by CGEQRF.
[in]	ldda	INTEGER The leading dimension of the array A, LDDA >= M.
[in,out]	dB	COMPLEX array on the GPU, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array dB. LDDB >= M.
[out]	hwork	(workspace) COMPLEX array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= (M - N + NB)*(NRHS + NB) + NRHS*NB, where NB is the blocksize given by magma_get_cgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_dgels	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaDouble_ptr	A,
		magma_int_t	lda,
		magmaDouble_ptr	B,
		magma_int_t	ldb,
		double *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

DGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	A	DOUBLE PRECISION array, dimension (LDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by DGEQRF.
[in]	lda	INTEGER The leading dimension of the array A, LDA >= M.
[in,out]	B	DOUBLE PRECISION array, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	ldb	INTEGER The leading dimension of the array B. LDB >= M.
[out]	hwork	(workspace) DOUBLE PRECISION array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= max( N*NB, 2*NB*NB ), where NB is the blocksize given by magma_get_dgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_dgels3_gpu	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaDouble_ptr	dA,
		magma_int_t	ldda,
		magmaDouble_ptr	dB,
		magma_int_t	lddb,
		double *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

DGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	dA	DOUBLE PRECISION array, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by DGEQRF3.
[in]	ldda	INTEGER The leading dimension of the array A, LDDA >= M.
[in,out]	dB	DOUBLE PRECISION array on the GPU, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array dB. LDDB >= M.
[out]	hwork	(workspace) DOUBLE PRECISION array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= (M - N + NB)*(NRHS + NB) + NRHS*NB, where NB is the blocksize given by magma_get_dgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_dgels_gpu	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaDouble_ptr	dA,
		magma_int_t	ldda,
		magmaDouble_ptr	dB,
		magma_int_t	lddb,
		double *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

DGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	dA	DOUBLE PRECISION array on the GPU, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by DGEQRF.
[in]	ldda	INTEGER The leading dimension of the array A, LDDA >= M.
[in,out]	dB	DOUBLE PRECISION array on the GPU, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array dB. LDDB >= M.
[out]	hwork	(workspace) DOUBLE PRECISION array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= (M - N + NB)*(NRHS + NB) + NRHS*NB, where NB is the blocksize given by magma_get_dgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_sgels	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloat_ptr	A,
		magma_int_t	lda,
		magmaFloat_ptr	B,
		magma_int_t	ldb,
		float *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

SGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	A	REAL array, dimension (LDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by SGEQRF.
[in]	lda	INTEGER The leading dimension of the array A, LDA >= M.
[in,out]	B	REAL array, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	ldb	INTEGER The leading dimension of the array B. LDB >= M.
[out]	hwork	(workspace) REAL array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= max( N*NB, 2*NB*NB ), where NB is the blocksize given by magma_get_sgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_sgels3_gpu	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloat_ptr	dA,
		magma_int_t	ldda,
		magmaFloat_ptr	dB,
		magma_int_t	lddb,
		float *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

SGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	dA	REAL array, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by SGEQRF3.
[in]	ldda	INTEGER The leading dimension of the array A, LDDA >= M.
[in,out]	dB	REAL array on the GPU, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array dB. LDDB >= M.
[out]	hwork	(workspace) REAL array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= (M - N + NB)*(NRHS + NB) + NRHS*NB, where NB is the blocksize given by magma_get_sgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_sgels_gpu	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloat_ptr	dA,
		magma_int_t	ldda,
		magmaFloat_ptr	dB,
		magma_int_t	lddb,
		float *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

SGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	dA	REAL array on the GPU, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by SGEQRF.
[in]	ldda	INTEGER The leading dimension of the array A, LDDA >= M.
[in,out]	dB	REAL array on the GPU, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array dB. LDDB >= M.
[out]	hwork	(workspace) REAL array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= (M - N + NB)*(NRHS + NB) + NRHS*NB, where NB is the blocksize given by magma_get_sgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_zgels	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaDoubleComplex_ptr	A,
		magma_int_t	lda,
		magmaDoubleComplex_ptr	B,
		magma_int_t	ldb,
		magmaDoubleComplex *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

ZGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	A	COMPLEX_16 array, dimension (LDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by ZGEQRF.
[in]	lda	INTEGER The leading dimension of the array A, LDA >= M.
[in,out]	B	COMPLEX_16 array, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	ldb	INTEGER The leading dimension of the array B. LDB >= M.
[out]	hwork	(workspace) COMPLEX_16 array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= max( N*NB, 2*NB*NB ), where NB is the blocksize given by magma_get_zgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_zgels3_gpu	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		magmaDoubleComplex_ptr	dB,
		magma_int_t	lddb,
		magmaDoubleComplex *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

ZGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	dA	COMPLEX_16 array, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by ZGEQRF3.
[in]	ldda	INTEGER The leading dimension of the array A, LDDA >= M.
[in,out]	dB	COMPLEX_16 array on the GPU, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array dB. LDDB >= M.
[out]	hwork	(workspace) COMPLEX_16 array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= (M - N + NB)*(NRHS + NB) + NRHS*NB, where NB is the blocksize given by magma_get_zgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_zgels_gpu	(	magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		magmaDoubleComplex_ptr	dB,
		magma_int_t	lddb,
		magmaDoubleComplex *	hwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

ZGELS solves the overdetermined, least squares problem min || A*X - C || using the QR factorization A.

The underdetermined problem (m < n) is not currently handled.

Parameters

[in]	trans	magma_trans_t = MagmaNoTrans: the linear system involves A. Only TRANS=MagmaNoTrans is currently handled.
[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. M >= N >= 0.
[in]	nrhs	INTEGER The number of columns of the matrix C. NRHS >= 0.
[in,out]	dA	COMPLEX_16 array on the GPU, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, A is overwritten by details of its QR factorization as returned by ZGEQRF.
[in]	ldda	INTEGER The leading dimension of the array A, LDDA >= M.
[in,out]	dB	COMPLEX_16 array on the GPU, dimension (LDDB,NRHS) On entry, the M-by-NRHS matrix C. On exit, the N-by-NRHS solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array dB. LDDB >= M.
[out]	hwork	(workspace) COMPLEX_16 array, dimension MAX(1,LWORK). On exit, if INFO = 0, HWORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array HWORK, LWORK >= (M - N + NB)*(NRHS + NB) + NRHS*NB, where NB is the blocksize given by magma_get_zgeqrf_nb( M, N ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the HWORK array, returns this value as the first entry of the HWORK array.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value