Functions
magma_int_t	magma_cgetri_outofplace_batched (magma_int_t n, magmaFloatComplex dA_array, magma_int_t ldda, magma_int_t dipiv_array, magmaFloatComplex *dinvA_array, magma_int_t lddia, magma_int_t info_array, magma_int_t batchCount, magma_queue_t queue)
	CGETRI computes the inverse of a matrix using the LU factorization computed by CGETRF. More...

magma_int_t	magma_dgetri_outofplace_batched (magma_int_t n, double dA_array, magma_int_t ldda, magma_int_t dipiv_array, double *dinvA_array, magma_int_t lddia, magma_int_t info_array, magma_int_t batchCount, magma_queue_t queue)
	DGETRI computes the inverse of a matrix using the LU factorization computed by DGETRF. More...

magma_int_t	magma_sgetri_outofplace_batched (magma_int_t n, float dA_array, magma_int_t ldda, magma_int_t dipiv_array, float *dinvA_array, magma_int_t lddia, magma_int_t info_array, magma_int_t batchCount, magma_queue_t queue)
	SGETRI computes the inverse of a matrix using the LU factorization computed by SGETRF. More...

magma_int_t	magma_zgetri_outofplace_batched (magma_int_t n, magmaDoubleComplex dA_array, magma_int_t ldda, magma_int_t dipiv_array, magmaDoubleComplex *dinvA_array, magma_int_t lddia, magma_int_t info_array, magma_int_t batchCount, magma_queue_t queue)
	ZGETRI computes the inverse of a matrix using the LU factorization computed by ZGETRF. More...

Detailed Description

Function Documentation

magma_int_t magma_cgetri_outofplace_batched	(	magma_int_t	n,
		magmaFloatComplex **	dA_array,
		magma_int_t	ldda,
		magma_int_t **	dipiv_array,
		magmaFloatComplex **	dinvA_array,
		magma_int_t	lddia,
		magma_int_t *	info_array,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

CGETRI computes the inverse of a matrix using the LU factorization computed by CGETRF.

This method inverts U and then computes inv(A) by solving the system inv(A)*L = inv(U) for inv(A).

Note that it is generally both faster and more accurate to use CGESV, or CGETRF and CGETRS, to solve the system AX = B, rather than inverting the matrix and multiplying to form X = inv(A)*B. Only in special instances should an explicit inverse be computed with this routine.

Parameters

[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array on the GPU, dimension (LDDA,N) On entry, the factors L and U from the factorization A = PLU as computed by CGETRF_GPU. On exit, if INFO = 0, the inverse of the original matrix A.
[in]	ldda	INTEGER The leading dimension of the array A. LDDA >= max(1,N).
[in]	dipiv_array	Array of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (N) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[out]	dinvA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array on the GPU, dimension (LDDIA,N) It contains the inverse of the matrix
[in]	lddia	INTEGER The leading dimension of the array invA_array. LDDIA >= max(1,N).
[out]	info_array	Array of INTEGERs, dimension (batchCount), for corresponding matrices. = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed. > 0: if INFO = i, U(i,i) 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.
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_dgetri_outofplace_batched	(	magma_int_t	n,
		double **	dA_array,
		magma_int_t	ldda,
		magma_int_t **	dipiv_array,
		double **	dinvA_array,
		magma_int_t	lddia,
		magma_int_t *	info_array,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

DGETRI computes the inverse of a matrix using the LU factorization computed by DGETRF.

This method inverts U and then computes inv(A) by solving the system inv(A)*L = inv(U) for inv(A).

Note that it is generally both faster and more accurate to use DGESV, or DGETRF and DGETRS, to solve the system AX = B, rather than inverting the matrix and multiplying to form X = inv(A)*B. Only in special instances should an explicit inverse be computed with this routine.

Parameters

[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array on the GPU, dimension (LDDA,N) On entry, the factors L and U from the factorization A = PLU as computed by DGETRF_GPU. On exit, if INFO = 0, the inverse of the original matrix A.
[in]	ldda	INTEGER The leading dimension of the array A. LDDA >= max(1,N).
[in]	dipiv_array	Array of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (N) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[out]	dinvA_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array on the GPU, dimension (LDDIA,N) It contains the inverse of the matrix
[in]	lddia	INTEGER The leading dimension of the array invA_array. LDDIA >= max(1,N).
[out]	info_array	Array of INTEGERs, dimension (batchCount), for corresponding matrices. = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed. > 0: if INFO = i, U(i,i) 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.
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_sgetri_outofplace_batched	(	magma_int_t	n,
		float **	dA_array,
		magma_int_t	ldda,
		magma_int_t **	dipiv_array,
		float **	dinvA_array,
		magma_int_t	lddia,
		magma_int_t *	info_array,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

SGETRI computes the inverse of a matrix using the LU factorization computed by SGETRF.

This method inverts U and then computes inv(A) by solving the system inv(A)*L = inv(U) for inv(A).

Note that it is generally both faster and more accurate to use SGESV, or SGETRF and SGETRS, to solve the system AX = B, rather than inverting the matrix and multiplying to form X = inv(A)*B. Only in special instances should an explicit inverse be computed with this routine.

Parameters

[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA_array	Array of pointers, dimension (batchCount). Each is a REAL array on the GPU, dimension (LDDA,N) On entry, the factors L and U from the factorization A = PLU as computed by SGETRF_GPU. On exit, if INFO = 0, the inverse of the original matrix A.
[in]	ldda	INTEGER The leading dimension of the array A. LDDA >= max(1,N).
[in]	dipiv_array	Array of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (N) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[out]	dinvA_array	Array of pointers, dimension (batchCount). Each is a REAL array on the GPU, dimension (LDDIA,N) It contains the inverse of the matrix
[in]	lddia	INTEGER The leading dimension of the array invA_array. LDDIA >= max(1,N).
[out]	info_array	Array of INTEGERs, dimension (batchCount), for corresponding matrices. = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed. > 0: if INFO = i, U(i,i) 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.
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgetri_outofplace_batched	(	magma_int_t	n,
		magmaDoubleComplex **	dA_array,
		magma_int_t	ldda,
		magma_int_t **	dipiv_array,
		magmaDoubleComplex **	dinvA_array,
		magma_int_t	lddia,
		magma_int_t *	info_array,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

ZGETRI computes the inverse of a matrix using the LU factorization computed by ZGETRF.

This method inverts U and then computes inv(A) by solving the system inv(A)*L = inv(U) for inv(A).

Note that it is generally both faster and more accurate to use ZGESV, or ZGETRF and ZGETRS, to solve the system AX = B, rather than inverting the matrix and multiplying to form X = inv(A)*B. Only in special instances should an explicit inverse be computed with this routine.

Parameters

[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array on the GPU, dimension (LDDA,N) On entry, the factors L and U from the factorization A = PLU as computed by ZGETRF_GPU. On exit, if INFO = 0, the inverse of the original matrix A.
[in]	ldda	INTEGER The leading dimension of the array A. LDDA >= max(1,N).
[in]	dipiv_array	Array of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (N) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[out]	dinvA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array on the GPU, dimension (LDDIA,N) It contains the inverse of the matrix
[in]	lddia	INTEGER The leading dimension of the array invA_array. LDDIA >= max(1,N).
[out]	info_array	Array of INTEGERs, dimension (batchCount), for corresponding matrices. = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed. > 0: if INFO = i, U(i,i) 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.
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

Functions

Detailed Description

Function Documentation