rocsolver_sgeqrf_batched Interface Reference#
hipfort_rocsolver::rocsolver_sgeqrf_batched Interface Reference
GEQRF_BATCHED computes the QR factorization of a batch of general m-by-n matrices. More...
Public Member Functions | |
| integer(kind(rocblas_status_success)) function | rocsolver_sgeqrf_batched_ (handle, m, n, A, lda, ipiv, strideP, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgeqrf_batched_full_rank (handle, m, n, A, lda, ipiv, strideP, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgeqrf_batched_rank_0 (handle, m, n, A, lda, ipiv, strideP, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgeqrf_batched_rank_1 (handle, m, n, A, lda, ipiv, strideP, batch_count) |
Detailed Description
GEQRF_BATCHED computes the QR factorization of a batch of general m-by-n matrices.
(This is the blocked version of the algorithm).
The factorization of matrix \(A_j\) in the batch has the form
\[ A_j = Q_j\left[\begin{array}{c} R_j\newline 0 \end{array}\right] \]
where \(R_j\) is upper triangular (upper trapezoidal if m < n), and \(Q_j\) is a m-by-m orthogonal/unitary matrix represented as the product of Householder matrices
\[ Q_j = H_{j_1}H_{j_2}\cdots H_{j_k}, \quad \text{with} \: k = \text{min}(m,n) \]
Each Householder matrix \(H_{j_i}\) is given by
\[ H_{j_i} = I - \text{ipiv}_j[i] \cdot v_{j_i} v_{j_i}' \]
where the first i-1 elements of Householder vector \(v_{j_i}\) are zero, and \(v_{j_i}[i] = 1\).
- Parameters
-
[in] handle rocblas_handle. [in] m rocblas_int. m >= 0.
The number of rows of all the matrices A_j in the batch.[in] n rocblas_int. n >= 0.
The number of columns of all the matrices A_j 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 m-by-n matrices A_j to be factored. On exit, the elements on and above the diagonal contain the factor R_j. The elements below the diagonal are the last m - i elements of Householder vector v_(j_i).[in] lda rocblas_int. lda >= m.
Specifies the leading dimension of matrices A_j.[out] ipiv pointer to type. Array on the GPU (the size depends on the value of strideP).
Contains the vectors ipiv_j of corresponding Householder scalars.[in] strideP rocblas_stride.
Stride from the start of one vector ipiv_j to the next one ipiv_(j+1). There is no restriction for the value of strideP. Normal use is strideP >= min(m,n).[in] batch_count rocblas_int. batch_count >= 0.
Number of matrices in the batch.
Member Function/Subroutine Documentation
◆ rocsolver_sgeqrf_batched_()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeqrf_batched::rocsolver_sgeqrf_batched_ | ( | type(c_ptr), value | handle, |
| integer(c_int), value | m, | ||
| integer(c_int), value | n, | ||
| type(c_ptr) | A, | ||
| integer(c_int), value | lda, | ||
| type(c_ptr), value | ipiv, | ||
| integer(c_int64_t), value | strideP, | ||
| integer(c_int), value | batch_count | ||
| ) |
◆ rocsolver_sgeqrf_batched_full_rank()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeqrf_batched::rocsolver_sgeqrf_batched_full_rank | ( | type(c_ptr) | handle, |
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| real(c_float), dimension(:,:,:), target | A, | ||
| integer(c_int) | lda, | ||
| real(c_float), dimension(:), target | ipiv, | ||
| integer(c_int64_t) | strideP, | ||
| integer(c_int) | batch_count | ||
| ) |
◆ rocsolver_sgeqrf_batched_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeqrf_batched::rocsolver_sgeqrf_batched_rank_0 | ( | type(c_ptr) | handle, |
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| real(c_float), target | A, | ||
| integer(c_int) | lda, | ||
| real(c_float), target | ipiv, | ||
| integer(c_int64_t) | strideP, | ||
| integer(c_int) | batch_count | ||
| ) |
◆ rocsolver_sgeqrf_batched_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeqrf_batched::rocsolver_sgeqrf_batched_rank_1 | ( | type(c_ptr) | handle, |
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| real(c_float), dimension(:), target | A, | ||
| integer(c_int) | lda, | ||
| real(c_float), dimension(:), target | ipiv, | ||
| integer(c_int64_t) | strideP, | ||
| integer(c_int) | batch_count | ||
| ) |
The documentation for this interface was generated from the following file: