rocsolver_sgeqlf_batched Interface Reference#
GEQLF_BATCHED computes the QL factorization of a batch of general m-by-n matrices. More...
Public Member Functions | |
integer(kind(rocblas_status_success)) function | rocsolver_sgeqlf_batched_ (handle, m, n, A, lda, ipiv, strideP, batch_count) |
integer(kind(rocblas_status_success)) function | rocsolver_sgeqlf_batched_full_rank (handle, m, n, A, lda, ipiv, strideP, batch_count) |
integer(kind(rocblas_status_success)) function | rocsolver_sgeqlf_batched_rank_0 (handle, m, n, A, lda, ipiv, strideP, batch_count) |
integer(kind(rocblas_status_success)) function | rocsolver_sgeqlf_batched_rank_1 (handle, m, n, A, lda, ipiv, strideP, batch_count) |
Detailed Description
GEQLF_BATCHED computes the QL 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
\[ A_j = Q_j\left[\begin{array}{c} 0\newline L_j \end{array}\right] \]
where \(L_j\) is lower triangular (lower trapezoidal if m < n), and \(Q_j\) is a m-by-m orthogonal/unitary matrix represented as the product of Householder matrices
\[ Q = H_{j_k}H_{j_{k-1}}\cdots H_{j_1}, \quad \text{with} \: k = \text{min}(m,n) \]
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 last m-i elements of the 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 below the (m-n)-th subdiagonal (when m >= n) or the (n-m)-th superdiagonal (when n > m) contain the factor L_j; the elements above the sub/superdiagonal are the first i - 1 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_sgeqlf_batched_()
integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeqlf_batched::rocsolver_sgeqlf_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_sgeqlf_batched_full_rank()
integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeqlf_batched::rocsolver_sgeqlf_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_sgeqlf_batched_rank_0()
integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeqlf_batched::rocsolver_sgeqlf_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_sgeqlf_batched_rank_1()
integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeqlf_batched::rocsolver_sgeqlf_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: