or/unmlq: Multiply by Q from LQ factorization

Functions
magma_int_t	magma_cunmlq (magma_side_t side, magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t k, magmaFloatComplex *A, magma_int_t lda, magmaFloatComplex *tau, magmaFloatComplex *C, magma_int_t ldc, magmaFloatComplex *work, magma_int_t lwork, magma_int_t *info)
	CUNMLQ overwrites the general complex M-by-N matrix C with. More...
magma_int_t	magma_dormlq (magma_side_t side, magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t k, double *A, magma_int_t lda, double *tau, double *C, magma_int_t ldc, double *work, magma_int_t lwork, magma_int_t *info)
	DORMLQ overwrites the general real M-by-N matrix C with. More...
magma_int_t	magma_sormlq (magma_side_t side, magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t k, float *A, magma_int_t lda, float *tau, float *C, magma_int_t ldc, float *work, magma_int_t lwork, magma_int_t *info)
	SORMLQ overwrites the general real M-by-N matrix C with. More...
magma_int_t	magma_zunmlq (magma_side_t side, magma_trans_t trans, magma_int_t m, magma_int_t n, magma_int_t k, magmaDoubleComplex *A, magma_int_t lda, magmaDoubleComplex *tau, magmaDoubleComplex *C, magma_int_t ldc, magmaDoubleComplex *work, magma_int_t lwork, magma_int_t *info)
	ZUNMLQ overwrites the general complex M-by-N matrix C with. More...

Detailed Description

Function Documentation

magma_int_t magma_cunmlq	(	magma_side_t	side,
		magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	k,
		magmaFloatComplex *	A,
		magma_int_t	lda,
		magmaFloatComplex *	tau,
		magmaFloatComplex *	C,
		magma_int_t	ldc,
		magmaFloatComplex *	work,
		magma_int_t	lwork,
		magma_int_t *	info
	)

CUNMLQ overwrites the general complex M-by-N matrix C with.

                         SIDE = MagmaLeft     SIDE = MagmaRight
TRANS = MagmaNoTrans:    Q * C                C * Q
TRANS = Magma_ConjTrans: Q**H * C             C * Q**H

where Q is a complexunitary matrix defined as the product of k elementary reflectors

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

as returned by CGELQF. Q is of order M if SIDE = MagmaLeft and of order N if SIDE = MagmaRight.

Parameters

[in]	side	magma_side_t = MagmaLeft: apply Q or Q**H from the Left; = MagmaRight: apply Q or Q**H from the Right.
[in]	trans	magma_trans_t = MagmaNoTrans: No transpose, apply Q; = Magma_ConjTrans: Conjugate transpose, apply Q**H.
[in]	m	INTEGER The number of rows of the matrix C. M >= 0.
[in]	n	INTEGER The number of columns of the matrix C. N >= 0.
[in]	k	INTEGER The number of elementary reflectors whose product defines the matrix Q. If SIDE = MagmaLeft, M >= K >= 0; if SIDE = MagmaRight, N >= K >= 0.
[in]	A	COMPLEX array, dimension (LDA,M) if SIDE = MagmaLeft, (LDA,N) if SIDE = MagmaRight. 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. A is modified by the routine but restored on exit.
[in]	lda	INTEGER The leading dimension of the array A. LDA >= max(1,K).
[in]	tau	COMPLEX array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGELQF.
[in,out]	C	COMPLEX array, dimension (LDC,N) On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
[in]	ldc	INTEGER The leading dimension of the array C. LDC >= max(1,M).
[out]	work	(workspace) COMPLEX array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array WORK. If SIDE = MagmaLeft, LWORK >= max(1,N); if SIDE = MagmaRight, LWORK >= max(1,M). For optimum performance if SIDE = MagmaLeft, LWORK >= N*NB; if SIDE = MagmaRight, LWORK >= M*NB, where NB is the optimal blocksize. If LWORK = -1, then 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.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_dormlq	(	magma_side_t	side,
		magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	k,
		double *	A,
		magma_int_t	lda,
		double *	tau,
		double *	C,
		magma_int_t	ldc,
		double *	work,
		magma_int_t	lwork,
		magma_int_t *	info
	)

DORMLQ overwrites the general real M-by-N matrix C with.

                         SIDE = MagmaLeft     SIDE = MagmaRight
TRANS = MagmaNoTrans:    Q * C                C * Q
TRANS = MagmaTrans: Q**H * C             C * Q**H

where Q is a realorthogonal matrix defined as the product of k elementary reflectors

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

as returned by DGELQF. Q is of order M if SIDE = MagmaLeft and of order N if SIDE = MagmaRight.

Parameters

[in]	side	magma_side_t = MagmaLeft: apply Q or Q**H from the Left; = MagmaRight: apply Q or Q**H from the Right.
[in]	trans	magma_trans_t = MagmaNoTrans: No transpose, apply Q; = MagmaTrans: Conjugate transpose, apply Q**H.
[in]	m	INTEGER The number of rows of the matrix C. M >= 0.
[in]	n	INTEGER The number of columns of the matrix C. N >= 0.
[in]	k	INTEGER The number of elementary reflectors whose product defines the matrix Q. If SIDE = MagmaLeft, M >= K >= 0; if SIDE = MagmaRight, N >= K >= 0.
[in]	A	DOUBLE PRECISION array, dimension (LDA,M) if SIDE = MagmaLeft, (LDA,N) if SIDE = MagmaRight. 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. A is modified by the routine but restored on exit.
[in]	lda	INTEGER The leading dimension of the array A. LDA >= max(1,K).
[in]	tau	DOUBLE PRECISION array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DGELQF.
[in,out]	C	DOUBLE PRECISION array, dimension (LDC,N) On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
[in]	ldc	INTEGER The leading dimension of the array C. LDC >= max(1,M).
[out]	work	(workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array WORK. If SIDE = MagmaLeft, LWORK >= max(1,N); if SIDE = MagmaRight, LWORK >= max(1,M). For optimum performance if SIDE = MagmaLeft, LWORK >= N*NB; if SIDE = MagmaRight, LWORK >= M*NB, where NB is the optimal blocksize. If LWORK = -1, then 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.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_sormlq	(	magma_side_t	side,
		magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	k,
		float *	A,
		magma_int_t	lda,
		float *	tau,
		float *	C,
		magma_int_t	ldc,
		float *	work,
		magma_int_t	lwork,
		magma_int_t *	info
	)

SORMLQ overwrites the general real M-by-N matrix C with.

                         SIDE = MagmaLeft     SIDE = MagmaRight
TRANS = MagmaNoTrans:    Q * C                C * Q
TRANS = MagmaTrans: Q**H * C             C * Q**H

where Q is a realorthogonal matrix defined as the product of k elementary reflectors

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

as returned by SGELQF. Q is of order M if SIDE = MagmaLeft and of order N if SIDE = MagmaRight.

Parameters

[in]	side	magma_side_t = MagmaLeft: apply Q or Q**H from the Left; = MagmaRight: apply Q or Q**H from the Right.
[in]	trans	magma_trans_t = MagmaNoTrans: No transpose, apply Q; = MagmaTrans: Conjugate transpose, apply Q**H.
[in]	m	INTEGER The number of rows of the matrix C. M >= 0.
[in]	n	INTEGER The number of columns of the matrix C. N >= 0.
[in]	k	INTEGER The number of elementary reflectors whose product defines the matrix Q. If SIDE = MagmaLeft, M >= K >= 0; if SIDE = MagmaRight, N >= K >= 0.
[in]	A	REAL array, dimension (LDA,M) if SIDE = MagmaLeft, (LDA,N) if SIDE = MagmaRight. 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. A is modified by the routine but restored on exit.
[in]	lda	INTEGER The leading dimension of the array A. LDA >= max(1,K).
[in]	tau	REAL array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGELQF.
[in,out]	C	REAL array, dimension (LDC,N) On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
[in]	ldc	INTEGER The leading dimension of the array C. LDC >= max(1,M).
[out]	work	(workspace) REAL array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array WORK. If SIDE = MagmaLeft, LWORK >= max(1,N); if SIDE = MagmaRight, LWORK >= max(1,M). For optimum performance if SIDE = MagmaLeft, LWORK >= N*NB; if SIDE = MagmaRight, LWORK >= M*NB, where NB is the optimal blocksize. If LWORK = -1, then 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.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_int_t magma_zunmlq	(	magma_side_t	side,
		magma_trans_t	trans,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	k,
		magmaDoubleComplex *	A,
		magma_int_t	lda,
		magmaDoubleComplex *	tau,
		magmaDoubleComplex *	C,
		magma_int_t	ldc,
		magmaDoubleComplex *	work,
		magma_int_t	lwork,
		magma_int_t *	info
	)

ZUNMLQ overwrites the general complex M-by-N matrix C with.

                         SIDE = MagmaLeft     SIDE = MagmaRight
TRANS = MagmaNoTrans:    Q * C                C * Q
TRANS = Magma_ConjTrans: Q**H * C             C * Q**H

where Q is a complexunitary matrix defined as the product of k elementary reflectors

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

as returned by ZGELQF. Q is of order M if SIDE = MagmaLeft and of order N if SIDE = MagmaRight.

Parameters

[in]	side	magma_side_t = MagmaLeft: apply Q or Q**H from the Left; = MagmaRight: apply Q or Q**H from the Right.
[in]	trans	magma_trans_t = MagmaNoTrans: No transpose, apply Q; = Magma_ConjTrans: Conjugate transpose, apply Q**H.
[in]	m	INTEGER The number of rows of the matrix C. M >= 0.
[in]	n	INTEGER The number of columns of the matrix C. N >= 0.
[in]	k	INTEGER The number of elementary reflectors whose product defines the matrix Q. If SIDE = MagmaLeft, M >= K >= 0; if SIDE = MagmaRight, N >= K >= 0.
[in]	A	COMPLEX_16 array, dimension (LDA,M) if SIDE = MagmaLeft, (LDA,N) if SIDE = MagmaRight. 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. A is modified by the routine but restored on exit.
[in]	lda	INTEGER The leading dimension of the array A. LDA >= max(1,K).
[in]	tau	COMPLEX_16 array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGELQF.
[in,out]	C	COMPLEX_16 array, dimension (LDC,N) On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
[in]	ldc	INTEGER The leading dimension of the array C. LDC >= max(1,M).
[out]	work	(workspace) COMPLEX_16 array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The dimension of the array WORK. If SIDE = MagmaLeft, LWORK >= max(1,N); if SIDE = MagmaRight, LWORK >= max(1,M). For optimum performance if SIDE = MagmaLeft, LWORK >= N*NB; if SIDE = MagmaRight, LWORK >= M*NB, where NB is the optimal blocksize. If LWORK = -1, then 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.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value