getf2: LU panel factorization

Functions
magma_int_t	magma_cgetf2_gpu (magma_int_t m, magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t *ipiv, magma_queue_t queue, magma_int_t *info)
	CGETF2 computes an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges. More...
magma_int_t	magma_dgetf2_gpu (magma_int_t m, magma_int_t n, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t *ipiv, magma_queue_t queue, magma_int_t *info)
	DGETF2 computes an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges. More...
magma_int_t	magma_sgetf2_gpu (magma_int_t m, magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *ipiv, magma_queue_t queue, magma_int_t *info)
	SGETF2 computes an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges. More...
magma_int_t	magma_zgetf2_gpu (magma_int_t m, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t *ipiv, magma_queue_t queue, magma_int_t *info)
	ZGETF2 computes an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges. More...

Detailed Description

Function Documentation

magma_int_t magma_cgetf2_gpu	(	magma_int_t	m,
		magma_int_t	n,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	ipiv,
		magma_queue_t	queue,
		magma_int_t *	info
	)

CGETF2 computes an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges.

The factorization has the form A = P * L * U where P is a permutation matrix, L is lower triangular with unit diagonal elements (lower trapezoidal if m > n), and U is upper triangular (upper trapezoidal if m < n).

This is the right-looking Level 2 BLAS version of the algorithm.

Parameters

[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. N >= 0 and N <= 1024. On CUDA architecture 1.x cards, N <= 512.
[in,out]	dA	COMPLEX array, dimension (LDDA,N) On entry, the m by n matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of the array A. LDDA >= max(1,M).
[out]	ipiv	INTEGER array, dimension (min(M,N)) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[in]	queue	magma_queue_t Queue to execute in.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -k, the k-th argument had an illegal value > 0: if INFO = k, U(k,k) is exactly zero. The factorization has been completed, but the factor U is exactly singular, and division by zero will occur if it is used to solve a system of equations.

magma_int_t magma_dgetf2_gpu	(	magma_int_t	m,
		magma_int_t	n,
		magmaDouble_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	ipiv,
		magma_queue_t	queue,
		magma_int_t *	info
	)

DGETF2 computes an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges.

The factorization has the form A = P * L * U where P is a permutation matrix, L is lower triangular with unit diagonal elements (lower trapezoidal if m > n), and U is upper triangular (upper trapezoidal if m < n).

This is the right-looking Level 2 BLAS version of the algorithm.

Parameters

[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. N >= 0 and N <= 1024. On CUDA architecture 1.x cards, N <= 512.
[in,out]	dA	DOUBLE PRECISION array, dimension (LDDA,N) On entry, the m by n matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of the array A. LDDA >= max(1,M).
[out]	ipiv	INTEGER array, dimension (min(M,N)) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[in]	queue	magma_queue_t Queue to execute in.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -k, the k-th argument had an illegal value > 0: if INFO = k, U(k,k) is exactly zero. The factorization has been completed, but the factor U is exactly singular, and division by zero will occur if it is used to solve a system of equations.

magma_int_t magma_sgetf2_gpu	(	magma_int_t	m,
		magma_int_t	n,
		magmaFloat_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	ipiv,
		magma_queue_t	queue,
		magma_int_t *	info
	)

SGETF2 computes an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges.

The factorization has the form A = P * L * U where P is a permutation matrix, L is lower triangular with unit diagonal elements (lower trapezoidal if m > n), and U is upper triangular (upper trapezoidal if m < n).

This is the right-looking Level 2 BLAS version of the algorithm.

Parameters

[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. N >= 0 and N <= 1024. On CUDA architecture 1.x cards, N <= 512.
[in,out]	dA	REAL array, dimension (LDDA,N) On entry, the m by n matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of the array A. LDDA >= max(1,M).
[out]	ipiv	INTEGER array, dimension (min(M,N)) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[in]	queue	magma_queue_t Queue to execute in.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -k, the k-th argument had an illegal value > 0: if INFO = k, U(k,k) is exactly zero. The factorization has been completed, but the factor U is exactly singular, and division by zero will occur if it is used to solve a system of equations.

magma_int_t magma_zgetf2_gpu	(	magma_int_t	m,
		magma_int_t	n,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	ipiv,
		magma_queue_t	queue,
		magma_int_t *	info
	)

ZGETF2 computes an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges.

The factorization has the form A = P * L * U where P is a permutation matrix, L is lower triangular with unit diagonal elements (lower trapezoidal if m > n), and U is upper triangular (upper trapezoidal if m < n).

This is the right-looking Level 2 BLAS version of the algorithm.

Parameters

[in]	m	INTEGER The number of rows of the matrix A. M >= 0.
[in]	n	INTEGER The number of columns of the matrix A. N >= 0 and N <= 1024. On CUDA architecture 1.x cards, N <= 512.
[in,out]	dA	COMPLEX_16 array, dimension (LDDA,N) On entry, the m by n matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of the array A. LDDA >= max(1,M).
[out]	ipiv	INTEGER array, dimension (min(M,N)) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[in]	queue	magma_queue_t Queue to execute in.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -k, the k-th argument had an illegal value > 0: if INFO = k, U(k,k) is exactly zero. The factorization has been completed, but the factor U is exactly singular, and division by zero will occur if it is used to solve a system of equations.