# hipblaszgeqrfstridedbatched Interface Reference#

HIPFORT API Reference: hipfort_hipblas::hipblaszgeqrfstridedbatched Interface Reference
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.

## ◆ 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 )

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