Functions
magma_int_t	magma_cgetri_gpu (magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t ipiv, magmaFloatComplex_ptr dwork, magma_int_t lwork, magma_int_t info)
	CGETRI computes the inverse of a matrix using the LU factorization computed by CGETRF. More...

magma_int_t	magma_dgetri_gpu (magma_int_t n, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t ipiv, magmaDouble_ptr dwork, magma_int_t lwork, magma_int_t info)
	DGETRI computes the inverse of a matrix using the LU factorization computed by DGETRF. More...

magma_int_t	magma_sgetri_gpu (magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t ipiv, magmaFloat_ptr dwork, magma_int_t lwork, magma_int_t info)
	SGETRI computes the inverse of a matrix using the LU factorization computed by SGETRF. More...

magma_int_t	magma_zgetri_gpu (magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t ipiv, magmaDoubleComplex_ptr dwork, magma_int_t lwork, magma_int_t info)
	ZGETRI computes the inverse of a matrix using the LU factorization computed by ZGETRF. More...

Detailed Description

Function Documentation

magma_int_t magma_cgetri_gpu	(	magma_int_t	n,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	ipiv,
		magmaFloatComplex_ptr	dwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

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	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]	ipiv	INTEGER array, dimension (N) The pivot indices from CGETRF; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
[out]	dwork	(workspace) COMPLEX array on the GPU, dimension (MAX(1,LWORK))
[in]	lwork	INTEGER The dimension of the array DWORK. LWORK >= N*NB, where NB is the optimal blocksize returned by magma_get_cgetri_nb(n). Unlike LAPACK, this version does not currently support a workspace query, because the workspace is on the GPU.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, U(i,i) is exactly zero; the matrix is singular and its cannot be computed.

magma_int_t magma_dgetri_gpu	(	magma_int_t	n,
		magmaDouble_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	ipiv,
		magmaDouble_ptr	dwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

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	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]	ipiv	INTEGER array, dimension (N) The pivot indices from DGETRF; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
[out]	dwork	(workspace) DOUBLE PRECISION array on the GPU, dimension (MAX(1,LWORK))
[in]	lwork	INTEGER The dimension of the array DWORK. LWORK >= N*NB, where NB is the optimal blocksize returned by magma_get_dgetri_nb(n). Unlike LAPACK, this version does not currently support a workspace query, because the workspace is on the GPU.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, U(i,i) is exactly zero; the matrix is singular and its cannot be computed.

magma_int_t magma_sgetri_gpu	(	magma_int_t	n,
		magmaFloat_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	ipiv,
		magmaFloat_ptr	dwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

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	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]	ipiv	INTEGER array, dimension (N) The pivot indices from SGETRF; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
[out]	dwork	(workspace) REAL array on the GPU, dimension (MAX(1,LWORK))
[in]	lwork	INTEGER The dimension of the array DWORK. LWORK >= N*NB, where NB is the optimal blocksize returned by magma_get_sgetri_nb(n). Unlike LAPACK, this version does not currently support a workspace query, because the workspace is on the GPU.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, U(i,i) is exactly zero; the matrix is singular and its cannot be computed.

magma_int_t magma_zgetri_gpu	(	magma_int_t	n,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	ipiv,
		magmaDoubleComplex_ptr	dwork,
		magma_int_t	lwork,
		magma_int_t *	info
	)

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	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]	ipiv	INTEGER array, dimension (N) The pivot indices from ZGETRF; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
[out]	dwork	(workspace) COMPLEX_16 array on the GPU, dimension (MAX(1,LWORK))
[in]	lwork	INTEGER The dimension of the array DWORK. LWORK >= N*NB, where NB is the optimal blocksize returned by magma_get_zgetri_nb(n). Unlike LAPACK, this version does not currently support a workspace query, because the workspace is on the GPU.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, U(i,i) is exactly zero; the matrix is singular and its cannot be computed.

Functions

Detailed Description

Function Documentation