rocsolver_sgehrd_batched Interface Reference#
hipfort_rocsolver::rocsolver_sgehrd_batched Interface Reference
The GEHRD_BATCHED functions compute the upper Hessenberg form of a batch of general square matrices. More...
Public Member Functions | |
| integer(c_int) function | rocsolver_sgehrd_batched_ (handle, n, ilo, ihi, a, lda, tau, stridep, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgehrd_batched_rank_0 (handle, n, ilo, ihi, a, lda, tau, stridep, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgehrd_batched_rank_1 (handle, n, ilo, ihi, a, lda, tau, stridep, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgehrd_batched_strided_rank (handle, n, ilo, ihi, a, lda, tau, stridep, batch_count) |
Detailed Description
The GEHRD_BATCHED functions compute the upper Hessenberg form of a batch of general square matrices.
(This is the blocked version of the algorithm.)
For each instance in the batch, the upper Hessenberg form is given by:
\[ H_l = Q_l^H A_l Q_l \]
where \(H_l\) is an upper Hessenberg matrix, and \(Q\) is an n -by-n orthogonal/unitary matrix represented as the product of \((ihi-ilo)\) Householder matrices
\[ Q_l = H_l(ilo)H_l(ilo+1)\cdots H_l(ihi-1) \]
Each Householder matrix \(H(i)\) is given by
\[ H_l^{}(i) = I - \text{tau}_l^{}[i] \cdot v_{l_i}^{} v_{l_i}^H \]
where the first i elements of the Householder vector \(v_{l_i}\) are zero, and \(v_{l_i}[i+1] = 1\).
- Parameters
-
[in] handle - rocblas_handle. [in] n - rocblas_int. n >= 0. The number of rows and columns of all the matrices A_l in the batch. [in] ilo - rocblas_int. 1 <= ilo <= ihi. The starting 1-based index of the row and column to be reduced. [in] ihi - rocblas_int. ilo <= ihi <= n. The ending 1-based index of the row and column to be reduced. [in,out] A - Array of pointers to type. Each pointer points to an array on the GPU of dimension lda*n. On entry, the n-by-n matrices A_l to be reduced. On exit, the elements on and above the first subdiagonal contain the upper Hessenberg form H_l, and the elements below the first subdiagonal are the last ihi - i - 1 elements of Householder vector v_(l_i). [in] lda - rocblas_int. lda >= n. Specifies the leading dimension of matrices A_l. [out] tau - pointer to type. Array on the GPU (the size depends on the value of strideP). Contains the vectors tau_l of corresponding Householder scalars. [in] strideP - rocblas_stride. Stride from the start of one vector tau_l to the next one tau_(l+1). There is no restriction for the value of strideP. Normal usage is strideP >= n-1. [in] batch_count - rocblas_int. batch_count >= 0. Number of matrices in the batch.
Member Function/Subroutine Documentation
◆ rocsolver_sgehrd_batched_()
| integer(c_int) function hipfort_rocsolver::rocsolver_sgehrd_batched::rocsolver_sgehrd_batched_ | ( | type(c_ptr), value | handle, |
| integer(c_int), value | n, | ||
| integer(c_int), value | ilo, | ||
| integer(c_int), value | ihi, | ||
| type(c_ptr), value | a, | ||
| integer(c_int), value | lda, | ||
| type(c_ptr), value | tau, | ||
| integer(c_int64_t), value | stridep, | ||
| integer(c_int), value | batch_count | ||
| ) |
◆ rocsolver_sgehrd_batched_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgehrd_batched::rocsolver_sgehrd_batched_rank_0 | ( | type(c_ptr), value | handle, |
| integer(c_int) | n, | ||
| integer(c_int) | ilo, | ||
| integer(c_int) | ihi, | ||
| type(c_ptr), value | a, | ||
| integer(c_int) | lda, | ||
| real(c_float), target | tau, | ||
| integer(c_int64_t) | stridep, | ||
| integer(c_int) | batch_count | ||
| ) |
◆ rocsolver_sgehrd_batched_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgehrd_batched::rocsolver_sgehrd_batched_rank_1 | ( | type(c_ptr), value | handle, |
| integer(c_int) | n, | ||
| integer(c_int) | ilo, | ||
| integer(c_int) | ihi, | ||
| type(c_ptr), value | a, | ||
| integer(c_int) | lda, | ||
| real(c_float), dimension(:), target | tau, | ||
| integer(c_int64_t) | stridep, | ||
| integer(c_int) | batch_count | ||
| ) |
◆ rocsolver_sgehrd_batched_strided_rank()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgehrd_batched::rocsolver_sgehrd_batched_strided_rank | ( | type(c_ptr), value | handle, |
| integer(c_int) | n, | ||
| integer(c_int) | ilo, | ||
| integer(c_int) | ihi, | ||
| type(c_ptr), value | a, | ||
| integer(c_int) | lda, | ||
| real(c_float), dimension(:,:), target | tau, | ||
| integer(c_int64_t) | stridep, | ||
| integer(c_int) | batch_count | ||
| ) |
The documentation for this interface was generated from the following file: