gesv: Solves Ax = b using LU factorization - no pivoting (driver)

Functions
magma_int_t	magma_cgesv_nopiv_gpu (magma_int_t n, magma_int_t nrhs, magmaFloatComplex_ptr dA, magma_int_t ldda, magmaFloatComplex_ptr dB, magma_int_t lddb, magma_int_t *info)
	CGESV solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices.
magma_int_t	magma_dgesv_nopiv_gpu (magma_int_t n, magma_int_t nrhs, magmaDouble_ptr dA, magma_int_t ldda, magmaDouble_ptr dB, magma_int_t lddb, magma_int_t *info)
	DGESV solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices.
magma_int_t	magma_sgesv_nopiv_gpu (magma_int_t n, magma_int_t nrhs, magmaFloat_ptr dA, magma_int_t ldda, magmaFloat_ptr dB, magma_int_t lddb, magma_int_t *info)
	SGESV solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices.
magma_int_t	magma_zgesv_nopiv_gpu (magma_int_t n, magma_int_t nrhs, magmaDoubleComplex_ptr dA, magma_int_t ldda, magmaDoubleComplex_ptr dB, magma_int_t lddb, magma_int_t *info)
	ZGESV solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices.

Detailed Description

Function Documentation

magma_cgesv_nopiv_gpu()

magma_int_t magma_cgesv_nopiv_gpu	(	magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		magmaFloatComplex_ptr	dB,
		magma_int_t	lddb,
		magma_int_t *	info )

CGESV solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices.

The LU decomposition with no pivoting is used to factor A as A = L * U, where L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B.

Parameters

[in]	n	INTEGER The order of the matrix A. n >= 0.
[in]	nrhs	INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. nrhs >= 0.
[in,out]	dA	COMPLEX array on the GPU, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L and U from the factorization A = L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of the array A. ldda >= max(1,n).
[in,out]	dB	COMPLEX array on the GPU, dimension (lddb,nrhs) On entry, the right hand side matrix B. On exit, the solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array B. lddb >= max(1,n).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_dgesv_nopiv_gpu()

magma_int_t magma_dgesv_nopiv_gpu	(	magma_int_t	n,
		magma_int_t	nrhs,
		magmaDouble_ptr	dA,
		magma_int_t	ldda,
		magmaDouble_ptr	dB,
		magma_int_t	lddb,
		magma_int_t *	info )

DGESV solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices.

The LU decomposition with no pivoting is used to factor A as A = L * U, where L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B.

Parameters

[in]	n	INTEGER The order of the matrix A. n >= 0.
[in]	nrhs	INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. nrhs >= 0.
[in,out]	dA	DOUBLE PRECISION array on the GPU, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L and U from the factorization A = L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of the array A. ldda >= max(1,n).
[in,out]	dB	DOUBLE PRECISION array on the GPU, dimension (lddb,nrhs) On entry, the right hand side matrix B. On exit, the solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array B. lddb >= max(1,n).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_sgesv_nopiv_gpu()

magma_int_t magma_sgesv_nopiv_gpu	(	magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloat_ptr	dA,
		magma_int_t	ldda,
		magmaFloat_ptr	dB,
		magma_int_t	lddb,
		magma_int_t *	info )

SGESV solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices.

The LU decomposition with no pivoting is used to factor A as A = L * U, where L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B.

Parameters

[in]	n	INTEGER The order of the matrix A. n >= 0.
[in]	nrhs	INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. nrhs >= 0.
[in,out]	dA	REAL array on the GPU, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L and U from the factorization A = L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of the array A. ldda >= max(1,n).
[in,out]	dB	REAL array on the GPU, dimension (lddb,nrhs) On entry, the right hand side matrix B. On exit, the solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array B. lddb >= max(1,n).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

magma_zgesv_nopiv_gpu()

magma_int_t magma_zgesv_nopiv_gpu	(	magma_int_t	n,
		magma_int_t	nrhs,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		magmaDoubleComplex_ptr	dB,
		magma_int_t	lddb,
		magma_int_t *	info )

ZGESV solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices.

The LU decomposition with no pivoting is used to factor A as A = L * U, where L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B.

Parameters

[in]	n	INTEGER The order of the matrix A. n >= 0.
[in]	nrhs	INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. nrhs >= 0.
[in,out]	dA	COMPLEX_16 array on the GPU, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L and U from the factorization A = L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of the array A. ldda >= max(1,n).
[in,out]	dB	COMPLEX_16 array on the GPU, dimension (lddb,nrhs) On entry, the right hand side matrix B. On exit, the solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array B. lddb >= max(1,n).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value