rocsolver_sgerq2_batched Interface Reference#
The GERQ2_BATCHED functions compute the RQ factorization of a batch of general m-by-n matrices.
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Public Member Functions | |
| integer(kind(rocblas_status_success)) function | rocsolver_sgerq2_batched_ (handle, m, n, a, lda, ipiv, stridep, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgerq2_batched_rank_0 (handle, m, n, a, lda, ipiv, stridep, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgerq2_batched_rank_1 (handle, m, n, a, lda, ipiv, stridep, batch_count) |
Detailed Description
The GERQ2_BATCHED functions compute the RQ factorization of a batch of general m-by-n matrices.
(This is the unblocked version of the algorithm.)
The factorization of matrix \(A_l\) in the batch has the form
\[ A_l = \left[\begin{array}{cc} 0 & R_l \end{array}\right] Q_l \]
where \(R_l\) is upper triangular (upper trapezoidal if m > n), and \(Q_l\) is an n -by-n orthogonal/unitary matrix represented as the product of Householder matrices
\[ Q_l = H_l(1)'H_l(2)' \cdots H_l(k)', \quad \text{with} \: k = \text{min}(m,n). \]
Each Householder matrices \(H_l(i)\) is given by
\[ H_l^{}(i) = I - \text{ipiv}_l^{}[i] \cdot v_{l_i}^{} v_{l_i}^H \]
where the last n-i elements of Householder vector \(v_{l_i}\) are zero, and \(v_{l_i}[i] = 1\).
- Parameters
-
[in] handle - rocblas_handle. [in] m - rocblas_int. m >= 0. The number of rows of all the matrices A_l in the batch. [in] n - rocblas_int. n >= 0. The number of columns of all the 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 m-by-n matrices A_l to be factored. On exit, the elements on and above the (m-n)-th subdiagonal (when m >= n) or the (n-m)-th superdiagonal (when n > m) contain the factor R_l, and the elements below the sub/superdiagonal are the first i - 1 elements of Householder vector v_(l_i). [in] lda - rocblas_int. lda >= m. Specifies the leading dimension of matrices A_l. [out] ipiv - pointer to type. Array on the GPU (the size depends on the value of strideP). Contains the vectors ipiv_l of corresponding Householder scalars. [in] strideP - rocblas_stride. Stride from the start of one vector ipiv_l to the next one ipiv_(l+1). There is no restriction for the value of strideP. Normal usage is strideP >= min(m,n). [in] batch_count - rocblas_int. batch_count >= 0. Number of matrices in the batch.
Member Function/Subroutine Documentation
◆ rocsolver_sgerq2_batched_()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgerq2_batched::rocsolver_sgerq2_batched_ | ( | type(c_ptr), value | handle, |
| integer(c_int), value | m, | ||
| 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, | ||
| integer(c_int), value | batch_count | ||
| ) |
◆ rocsolver_sgerq2_batched_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgerq2_batched::rocsolver_sgerq2_batched_rank_0 | ( | type(c_ptr) | handle, |
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| type(c_ptr) | a, | ||
| integer(c_int) | lda, | ||
| real(c_float), target | ipiv, | ||
| integer(c_int64_t) | stridep, | ||
| integer(c_int) | batch_count | ||
| ) |
◆ rocsolver_sgerq2_batched_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgerq2_batched::rocsolver_sgerq2_batched_rank_1 | ( | type(c_ptr) | handle, |
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| type(c_ptr) | 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: