rocsolver_sgebd2_batched Interface Reference#
hipfort_rocsolver::rocsolver_sgebd2_batched Interface Reference
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Public Member Functions | |
| integer(kind(rocblas_status_success)) function | rocsolver_sgebd2_batched_full_rank (handle, m, n, A, lda, D, strideD, E, strideE, tauq, strideQ, taup, strideP, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgebd2_batched_orig (handle, m, n, A, lda, D, strideD, E, strideE, tauq, strideQ, taup, strideP, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgebd2_batched_rank_0 (handle, m, n, A, lda, D, strideD, E, strideE, tauq, strideQ, taup, strideP, batch_count) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgebd2_batched_rank_1 (handle, m, n, A, lda, D, strideD, E, strideE, tauq, strideQ, taup, strideP, batch_count) |
Detailed Description
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GEBD2_BATCHED computes the bidiagonal form of a batch of general m-by-n matrices.
(This is the unblocked version of the algorithm).
The bidiagonal form is given by:
B_j = Q_j' A_j P_j
where B_j is upper bidiagonal if m >= n and lower bidiagonal if m < n, and Q_j and P_j are orthogonalunitary matrices represented as the product of Householder matrices
Q_j = H_j(1) H_j(2) ... H_j(n) and P_j = G_j(1) G_j(2) ... G_j(n-1), if m >= n, or Q_j = H_j(1) H_j(2) ... H_j(m-1) and P_j = G_j(1) G_j(2) ... G_j(m), if m < n
Each Householder matrix H_j(i) and G_j(i), for j = 1,2,...,batch_count, is given by
H_j(i) = I - tauq_j[i-1] v_j(i) v_j(i)', and G_j(i) = I - taup_j[i-1] u_j(i) u_j(i)'
If m >= n, the first i-1 elements of the Householder vector v_j(i) are zero, and v_j(i)[i] = 1; while the first i elements of the Householder vector u_j(i) are zero, and u_j(i)[i+1] = 1. If m < n, the first i elements of the Householder vector v_j(i) are zero, and v_j(i)[i+1] = 1; while the first i-1 elements of the Householder vector u_j(i) are zero, and u_j(i)[i] = 1.
- Parameters
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[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 ldan.
On entry, the m-by-n matrices A_j to be factored. On exit, the elements on the diagonal and superdiagonal (if m >= n), or subdiagonal (if m < n) contain the bidiagonal form B_j. If m >= n, the elements below the diagonal are the m - i elements of vector v_j(i) for i = 1,2,...,n, and the elements above the superdiagonal are the n - i - 1 elements of vector u_j(i) for i = 1,2,...,n-1. If m < n, the elements below the subdiagonal are the m - i - 1 elements of vector v_j(i) for i = 1,2,...,m-1, and the elements above the diagonal are the n - i elements of vector u_j(i) for i = 1,2,...,m.[in] lda rocblas_int. lda >= m.
Specifies the leading dimension of matrices A_j.[out] D pointer to real type. Array on the GPU (the size depends on the value of strideD).
The diagonal elements of B_j.[in] strideD rocblas_stride.
Stride from the start of one vector D_j and the next one D_(j+1). There is no restriction for the value of strideD. Normal use case is strideD >= min(m,n).[out] E pointer to real type. Array on the GPU (the size depends on the value of strideE).
The off-diagonal elements of B_j.[in] strideE rocblas_stride.
Stride from the start of one vector E_j and the next one E_(j+1). There is no restriction for the value of strideE. Normal use case is strideE >= min(m,n)-1.[out] tauq pointer to type. Array on the GPU (the size depends on the value of strideQ).
Contains the vectors tauq_j of scalar factors of the Householder matrices H_j(i).[in] strideQ rocblas_stride.
Stride from the start of one vector tauq_j to the next one tauq_(j+1). There is no restriction for the value of strideQ. Normal use is strideQ >= min(m,n).[out] taup pointer to type. Array on the GPU (the size depends on the value of strideP).
Contains the vectors taup_j of scalar factors of the Householder matrices G_j(i).[in] strideP rocblas_stride.
Stride from the start of one vector taup_j to the next one taup_(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_sgebd2_batched_full_rank()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgebd2_batched::rocsolver_sgebd2_batched_full_rank | ( | type(c_ptr), value | handle, |
| integer(c_int), value | m, | ||
| integer(c_int), value | n, | ||
| real(c_float), dimension(:,:,:), target | A, | ||
| integer(c_int), value | lda, | ||
| real(c_float), dimension(:), target | D, | ||
| integer(c_int64_t), value | strideD, | ||
| real(c_float), dimension(:), target | E, | ||
| integer(c_int64_t), value | strideE, | ||
| real(c_float), dimension(:), target | tauq, | ||
| integer(c_int64_t), value | strideQ, | ||
| real(c_float), dimension(:), target | taup, | ||
| integer(c_int64_t), value | strideP, | ||
| integer(c_int), value | batch_count | ||
| ) |
◆ rocsolver_sgebd2_batched_orig()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgebd2_batched::rocsolver_sgebd2_batched_orig | ( | 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 | D, | ||
| integer(c_int64_t), value | strideD, | ||
| type(c_ptr), value | E, | ||
| integer(c_int64_t), value | strideE, | ||
| type(c_ptr), value | tauq, | ||
| integer(c_int64_t), value | strideQ, | ||
| type(c_ptr), value | taup, | ||
| integer(c_int64_t), value | strideP, | ||
| integer(c_int), value | batch_count | ||
| ) |
◆ rocsolver_sgebd2_batched_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgebd2_batched::rocsolver_sgebd2_batched_rank_0 | ( | type(c_ptr), value | handle, |
| integer(c_int), value | m, | ||
| integer(c_int), value | n, | ||
| real(c_float), target | A, | ||
| integer(c_int), value | lda, | ||
| real(c_float), target | D, | ||
| integer(c_int64_t), value | strideD, | ||
| real(c_float), target | E, | ||
| integer(c_int64_t), value | strideE, | ||
| real(c_float), target | tauq, | ||
| integer(c_int64_t), value | strideQ, | ||
| real(c_float), target | taup, | ||
| integer(c_int64_t), value | strideP, | ||
| integer(c_int), value | batch_count | ||
| ) |
◆ rocsolver_sgebd2_batched_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgebd2_batched::rocsolver_sgebd2_batched_rank_1 | ( | type(c_ptr), value | handle, |
| integer(c_int), value | m, | ||
| integer(c_int), value | n, | ||
| real(c_float), dimension(:), target | A, | ||
| integer(c_int), value | lda, | ||
| real(c_float), dimension(:), target | D, | ||
| integer(c_int64_t), value | strideD, | ||
| real(c_float), dimension(:), target | E, | ||
| integer(c_int64_t), value | strideE, | ||
| real(c_float), dimension(:), target | tauq, | ||
| integer(c_int64_t), value | strideQ, | ||
| real(c_float), dimension(:), target | taup, | ||
| integer(c_int64_t), value | strideP, | ||
| integer(c_int), value | batch_count | ||
| ) |
The documentation for this interface was generated from the following file: