hipblaszgeqrfstridedbatched Interface Reference

• hipfort_hipblas
• hipblaszgeqrfstridedbatched

Public Member Functions | List of all members

hipfort_hipblas::hipblaszgeqrfstridedbatched Interface Reference

SOLVER API. More...

Public Member Functions
integer(kind(hipblas_status_success)) function	hipblaszgeqrfstridedbatched_ (handle, m, n, A, lda, strideA, ipiv, strideP, myInfo, batchCount)
integer(kind(hipblas_status_success)) function	hipblaszgeqrfstridedbatched_full_rank (handle, m, n, A, lda, strideA, ipiv, strideP, myInfo, batchCount)
integer(kind(hipblas_status_success)) function	hipblaszgeqrfstridedbatched_rank_0 (handle, m, n, A, lda, strideA, ipiv, strideP, myInfo, batchCount)
integer(kind(hipblas_status_success)) function	hipblaszgeqrfstridedbatched_rank_1 (handle, m, n, A, lda, strideA, ipiv, strideP, myInfo, batchCount)

Detailed Description

SOLVER API.

geqrfStridedBatched computes the QR factorization of a batch of general m-by-n matrices.

The factorization of matrix \(A_i\) in the batch has the form

\[ A_i = Q_i\left[\begin{array}{c} R_i\newline 0 \end{array}\right] \]

where \(R_i\) is upper triangular (upper trapezoidal if m < n), and \(Q_i\) is a m-by-m orthogonal/unitary matrix represented as the product of Householder matrices

\[ Q_i = H_{i_1}H_{i_2}\cdots H_{i_k}, \quad \text{with} \: k = \text{min}(m,n) \]

Each Householder matrix \(H_{i_j}\) is given by

\[ H_{i_j} = I - \text{ipiv}_j[j] \cdot v_{i_j} v_{i_j}' \]

where the first j-1 elements of Householder vector \(v_{i_j}\) are zero, and \(v_{i_j}[j] = 1\).

Parameters

[in]	handle	hipblasHandle_t.
[in]	m	int. m >= 0. The number of rows of all the matrices A_i in the batch.
[in]	n	int. n >= 0. The number of columns of all the matrices A_i in the batch.
[in,out]	A	pointer to type. Array on the GPU (the size depends on the value of strideA). On entry, the m-by-n matrices A_i to be factored. On exit, the elements on and above the diagonal contain the factor R_i. The elements below the diagonal are the last m - j elements of Householder vector v_(i_j).
[in]	lda	int. lda >= m. Specifies the leading dimension of matrices A_i.
[in]	strideA	hipblasStride. Stride from the start of one matrix A_i to the next one A_(i+1). There is no restriction for the value of strideA. Normal use case is strideA >= lda*n.
[out]	ipiv	pointer to type. Array on the GPU (the size depends on the value of strideP). Contains the vectors ipiv_i of corresponding Householder scalars.
[in]	strideP	hipblasStride. Stride from the start of one vector ipiv_i to the next one ipiv_(i+1). There is no restriction for the value of strideP. Normal use is strideP >= min(m,n).
[out]	info	pointer to a int on the host. If info = 0, successful exit. If info = k < 0, the k-th argument is invalid.
[in]	batchCount	int. batchCount >= 0. Number of matrices in the batch.

Member Function/Subroutine Documentation

◆ hipblaszgeqrfstridedbatched_()

integer(kind(hipblas_status_success)) function hipfort_hipblas::hipblaszgeqrfstridedbatched::hipblaszgeqrfstridedbatched_	(	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,
		integer(c_int64_t), value	strideA,
		type(c_ptr), value	ipiv,
		integer(c_int64_t), value	strideP,
		type(c_ptr), value	myInfo,
		integer(c_int), value	batchCount
	)

◆ hipblaszgeqrfstridedbatched_full_rank()

integer(kind(hipblas_status_success)) function hipfort_hipblas::hipblaszgeqrfstridedbatched::hipblaszgeqrfstridedbatched_full_rank	(	type(c_ptr)	handle,
		integer(c_int)	m,
		integer(c_int)	n,
		complex(c_double_complex), dimension(:,:), target	A,
		integer(c_int)	lda,
		integer(c_int64_t)	strideA,
		type(c_ptr)	ipiv,
		integer(c_int64_t)	strideP,
		type(c_ptr)	myInfo,
		integer(c_int)	batchCount
	)

◆ hipblaszgeqrfstridedbatched_rank_0()

integer(kind(hipblas_status_success)) function hipfort_hipblas::hipblaszgeqrfstridedbatched::hipblaszgeqrfstridedbatched_rank_0	(	type(c_ptr)	handle,
		integer(c_int)	m,
		integer(c_int)	n,
		complex(c_double_complex), target	A,
		integer(c_int)	lda,
		integer(c_int64_t)	strideA,
		type(c_ptr)	ipiv,
		integer(c_int64_t)	strideP,
		type(c_ptr)	myInfo,
		integer(c_int)	batchCount
	)

◆ hipblaszgeqrfstridedbatched_rank_1()

integer(kind(hipblas_status_success)) function hipfort_hipblas::hipblaszgeqrfstridedbatched::hipblaszgeqrfstridedbatched_rank_1	(	type(c_ptr)	handle,
		integer(c_int)	m,
		integer(c_int)	n,
		complex(c_double_complex), dimension(:), target	A,
		integer(c_int)	lda,
		integer(c_int64_t)	strideA,
		type(c_ptr)	ipiv,
		integer(c_int64_t)	strideP,
		type(c_ptr)	myInfo,
		integer(c_int)	batchCount
	)

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

• hipfort_hipblas.f