potrs: Cholesky forward and back solves

Functions
magma_int_t	magma_cpotrs_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)
	CPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF. More...
magma_int_t	magma_dpotrs_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)
	DPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by DPOTRF. More...
magma_int_t	magma_spotrs_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)
	SPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by SPOTRF. More...
magma_int_t	magma_zpotrs_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)
	ZPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPOTRF. More...

Detailed Description

Function Documentation

magma_int_t magma_cpotrs_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
	)

CPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF.

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]	dA	COMPLEX array on the GPU, dimension (LDDA,N) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by CPOTRF.
[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_int_t magma_dpotrs_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
	)

DPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by DPOTRF.

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]	dA	DOUBLE PRECISION array on the GPU, dimension (LDDA,N) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by DPOTRF.
[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_int_t magma_spotrs_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
	)

SPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by SPOTRF.

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]	dA	REAL array on the GPU, dimension (LDDA,N) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by SPOTRF.
[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_int_t magma_zpotrs_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
	)

ZPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPOTRF.

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]	dA	COMPLEX_16 array on the GPU, dimension (LDDA,N) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by ZPOTRF.
[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