rocsolver_sgeql2_batched Interface Reference

• hipfort_rocsolver
• rocsolver_sgeql2_batched

Public Member Functions | List of all members

hipfort_rocsolver::rocsolver_sgeql2_batched Interface Reference

! More...

Public Member Functions
integer(kind(rocblas_status_success)) function	rocsolver_sgeql2_batched_full_rank (handle, m, n, A, lda, ipiv, strideP, batch_count)
integer(kind(rocblas_status_success)) function	rocsolver_sgeql2_batched_orig (handle, m, n, A, lda, ipiv, strideP, batch_count)
integer(kind(rocblas_status_success)) function	rocsolver_sgeql2_batched_rank_0 (handle, m, n, A, lda, ipiv, strideP, batch_count)
integer(kind(rocblas_status_success)) function	rocsolver_sgeql2_batched_rank_1 (handle, m, n, A, lda, ipiv, strideP, batch_count)

Detailed Description

!

GEQL2_BATCHED computes the QL factorization of a batch of general m-by-n matrices.

(This is the unblocked version of the algorithm).

The factorization of matrix A_j in the batch has the form

A_j =  Q_j  [  0  ]
             [ L_j ]

where L_j is lower triangular (lower trapezoidal if m < n), and Q_j is a m-by-m orthogonalunitary matrix represented as the product of Householder matrices

Q_j = H_j(k)  ...  H_j(2)  H_j(1), with k = min(m,n)

Each Householder matrices H_j(i), for j = 1,2,...,batch_count, and i = 1,2,...,k, is given by

H_j(i) = I - ipiv_j[i-1]  v_j(i)  v_j(i)'

where the last m-i 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 ldan. 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 subsuperdiagonal are the i - 1 elements of vector v_j(i) for i = 1,2,...,min(m,n).
[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 scalar factors of the Householder matrices H_j(i).
[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_sgeql2_batched_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeql2_batched::rocsolver_sgeql2_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	ipiv,
		integer(c_int64_t), value	strideP,
		integer(c_int), value	batch_count
	)

◆ rocsolver_sgeql2_batched_orig()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeql2_batched::rocsolver_sgeql2_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	ipiv,
		integer(c_int64_t), value	strideP,
		integer(c_int), value	batch_count
	)

◆ rocsolver_sgeql2_batched_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeql2_batched::rocsolver_sgeql2_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	ipiv,
		integer(c_int64_t), value	strideP,
		integer(c_int), value	batch_count
	)

◆ rocsolver_sgeql2_batched_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgeql2_batched::rocsolver_sgeql2_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	ipiv,
		integer(c_int64_t), value	strideP,
		integer(c_int), value	batch_count
	)

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The documentation for this interface was generated from the following file:

• hipfort_rocsolver.f