MAGMA
2.5.4
Matrix Algebra for GPU and Multicore Architectures

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...  
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.
[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 = P*L*U 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

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.
[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 = P*L*U 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

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.
[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 = P*L*U 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

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.
[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 = P*L*U 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
