sy/hesv: Solves Ax = b using symmetric/Hermitian indefinite factorization - no pivoting (driver)

Functions
magma_int_t	magma_chesv_nopiv_gpu (magma_uplo_t uplo, 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)
	CHESV solves a system of linear equations A * X = B where A is an n-by-n Hermitian matrix and X and B are n-by-nrhs matrices. More...
magma_int_t	magma_dsysv_nopiv_gpu (magma_uplo_t uplo, 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)
	DSYSV solves a system of linear equations A * X = B where A is an n-by-n symmetric matrix and X and B are n-by-nrhs matrices. More...
magma_int_t	magma_ssysv_nopiv_gpu (magma_uplo_t uplo, 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)
	SSYSV solves a system of linear equations A * X = B where A is an n-by-n symmetric matrix and X and B are n-by-nrhs matrices. More...
magma_int_t	magma_zhesv_nopiv_gpu (magma_uplo_t uplo, 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)
	ZHESV solves a system of linear equations A * X = B where A is an n-by-n Hermitian matrix and X and B are n-by-nrhs matrices. More...

Detailed Description

Function Documentation

magma_int_t magma_chesv_nopiv_gpu	(	magma_uplo_t	uplo,
		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
	)

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

The LU decomposition with no pivoting is used to factor A as: A = U^H * D * U, if UPLO = MagmaUpper, or A = L * D * L^H, if UPLO = MagmaLower, where U is an upper triangular matrix, L is lower triangular, and D is a diagonal matrix. The factored form of A is then used to solve the system of equations A * X = B.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[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, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L/U and the diagonal D from the factorization.
[in]	ldda	INTEGER The leading dimension of the array A. ldda >= max(1,n).
[in,out]	dB	COMPLEX array, 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_int_t magma_dsysv_nopiv_gpu	(	magma_uplo_t	uplo,
		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
	)

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

The LU decomposition with no pivoting is used to factor A as: A = U^H * D * U, if UPLO = MagmaUpper, or A = L * D * L^H, if UPLO = MagmaLower, where U is an upper triangular matrix, L is lower triangular, and D is a diagonal matrix. The factored form of A is then used to solve the system of equations A * X = B.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[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, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L/U and the diagonal D from the factorization.
[in]	ldda	INTEGER The leading dimension of the array A. ldda >= max(1,n).
[in,out]	dB	DOUBLE PRECISION array, 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_int_t magma_ssysv_nopiv_gpu	(	magma_uplo_t	uplo,
		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
	)

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

The LU decomposition with no pivoting is used to factor A as: A = U^H * D * U, if UPLO = MagmaUpper, or A = L * D * L^H, if UPLO = MagmaLower, where U is an upper triangular matrix, L is lower triangular, and D is a diagonal matrix. The factored form of A is then used to solve the system of equations A * X = B.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[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, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L/U and the diagonal D from the factorization.
[in]	ldda	INTEGER The leading dimension of the array A. ldda >= max(1,n).
[in,out]	dB	REAL array, 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_int_t magma_zhesv_nopiv_gpu	(	magma_uplo_t	uplo,
		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
	)

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

The LU decomposition with no pivoting is used to factor A as: A = U^H * D * U, if UPLO = MagmaUpper, or A = L * D * L^H, if UPLO = MagmaLower, where U is an upper triangular matrix, L is lower triangular, and D is a diagonal matrix. The factored form of A is then used to solve the system of equations A * X = B.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[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, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L/U and the diagonal D from the factorization.
[in]	ldda	INTEGER The leading dimension of the array A. ldda >= max(1,n).
[in,out]	dB	COMPLEX_16 array, 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