rocsolver_sgetri_batched Interface Reference#
hipfort_rocsolver::rocsolver_sgetri_batched Interface Reference
The GETRI_BATCHED functions invert a batch of general n-by-n matrices using the LU factorization computed by GETRF_BATCHED.
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Public Member Functions | |
| integer(kind(rocblas_status_success)) function | rocsolver_sgetri_batched_ (handle, n, a, lda, ipiv, stridep, myinfo, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgetri_batched_rank_0 (handle, n, a, lda, ipiv, stridep, myinfo, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgetri_batched_rank_1 (handle, n, a, lda, ipiv, stridep, myinfo, batch_count) |
Detailed Description
The GETRI_BATCHED functions invert a batch of general n-by-n matrices using the LU factorization computed by GETRF_BATCHED.
The inverse of matrix \(A_l\) in the batch is computed by solving the linear system
\[ A_l^{-1} L_l^{} = U_l^{-1} \]
where \(L_l\) is the lower triangular factor of \(A_l\) with unit diagonal elements, and \(U_l\) is the upper triangular factor.
- Parameters
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[in] handle - rocblas_handle. [in] n - rocblas_int. n >= 0. The number of rows and columns of all matrices A_l in the batch. [in,out] A - array of pointers to type. Each pointer points to an array on the GPU of dimension lda*n. On entry, the factors L_l and U_l of the factorization A_l = P_l*L_l*U_l returned by GETRF_BATCHED. On exit, the inverses of A_l if info[l] = 0, and otherwise undefined. [in] lda - rocblas_int. lda >= n. Specifies the leading dimension of matrices A_l. [in] ipiv - pointer to rocblas_int. Array on the GPU (the size depends on the value of strideP). The pivot indices returned by GETRF_BATCHED. [in] strideP - rocblas_stride. Stride from the start of one vector ipiv_l to the next one ipiv_(l+j). There is no restriction for the value of strideP. The normal use case is strideP >= n. [out] myInfo - pointer to rocblas_int. Array of batch_count integers on the GPU. If info[l] = 0, successful exit for inversion of A_l. If info[l] = i > 0, U_l is singular. U_l[i,i] is the first zero pivot. [in] batch_count - rocblas_int. batch_count >= 0. Number of matrices in the batch.
Member Function/Subroutine Documentation
◆ rocsolver_sgetri_batched_()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetri_batched::rocsolver_sgetri_batched_ | ( | type(c_ptr), value | handle, |
| integer(c_int), value | n, | ||
| type(c_ptr), value | a, | ||
| integer(c_int), value | lda, | ||
| type(c_ptr), value | ipiv, | ||
| integer(c_int64_t), value | stridep, | ||
| type(c_ptr), value | myinfo, | ||
| integer(c_int), value | batch_count | ||
| ) |
◆ rocsolver_sgetri_batched_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetri_batched::rocsolver_sgetri_batched_rank_0 | ( | type(c_ptr) | handle, |
| integer(c_int) | n, | ||
| type(c_ptr) | a, | ||
| integer(c_int) | lda, | ||
| integer(c_int), target | ipiv, | ||
| integer(c_int64_t) | stridep, | ||
| type(c_ptr) | myinfo, | ||
| integer(c_int) | batch_count | ||
| ) |
◆ rocsolver_sgetri_batched_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetri_batched::rocsolver_sgetri_batched_rank_1 | ( | type(c_ptr) | handle, |
| integer(c_int) | n, | ||
| type(c_ptr) | a, | ||
| integer(c_int) | lda, | ||
| integer(c_int), dimension(:), target | ipiv, | ||
| integer(c_int64_t) | stridep, | ||
| type(c_ptr) | myinfo, | ||
| integer(c_int) | batch_count | ||
| ) |
The documentation for this interface was generated from the following file: