ungqr_batch (USM Strided Version)¶

Generates the complex unitary matrices Q_i of the batch of QR factorizations formed by geqrf_batch function (USM stride version). This routine belongs to the oneapi::mkl::lapack namespace.

Description ¶

The routine generates the wholes or parts of m-by-m unitary matrix Q_i of the QR factorization formed by the geqrf_batch (USM Strided Version) function.

Usually Q_i is determined from the QR factorization of an m by p matrix A_i with m≥p. To compute the whole matrices Q_i, use:

ungqr_batch(queue, m, m, p, a, ...)

To compute the leading p columns of Q_i (which form an orthonormal basis in the space spanned by the columns of A_i):

ungqr_batch(queue, m, p, p, a, ...)

To compute the matrix Q_i^k of the QR factorization of the leading k columns of the matrices A_i:

ungqr_batch(queue, m, m, k, a, ...)

To compute the leading k columns of Q_i^k (which form an orthonormal basis in the space spanned by the leading k columns of the matrices A_i):

ungqr_batch(queue, m, k, k, a, ...)

API ¶

Syntax¶

namespace oneapi::mkl::lapack {
  cl::sycl::event ungqr_batch(cl::sycl::queue &queue,
  std::int64_t m,
  std::int64_t n,
  std::int64_t k,
  T *a,
  std::int64_t lda,
  std::int64_t stride_a,
  T *tau,
  std::int64_t  stride_tau,
  std::int64_t batch_size,
  T *scratchpad,
  std::int64_t scratchpad_size,
  const std::vector<cl::sycl::event> &events = {})
}

Function supports the following precisions and devices.

T	Devices supported
`std::complex<float>`	Host, CPU, and GPU
`std::complex<double>`	Host, CPU, and GPU

Input Parameters¶

queue: Device queue where calculations will be performed.
m: The number of rows in the matrices A_i (0 ≤ m).
n: The number of columns in the matrices A_i (0 ≤ n).
k: the number of elementary reflectors whose product defines the matrices Q_i (0 ≤ k ≤ n) .
a: Array resulting after a call to geqrf_batch (USM Strided Version).
lda: The leading dimension of A_i (lda ≤ m).
stride_a: The stride between the beginnings of matrices A_i inside the batch array a.
tau: Array resulting after a call to geqrf_batch (USM Strided Version).
stride_tau: The stride between the beginnings of arrays tau_i inside the array tau.
batch_size: Specifies the number of problems in a batch.
scratchpad: Scratchpad memory to be used by routine for storing intermediate results.
scratchpad_size: Size of scratchpad memory as a number of floating point elements of type T. Size should not be less than the value returned by ungqr_batch_scratchpad_size (Strided Version).
events: List of events to wait for before starting computation. Defaults to empty list.

Output Parameters¶

a: Array data is overwritten by a batch of n leading columns of the m-by-m unitary matrices Q_i.

Exceptions¶

Exception	Description
`mkl::lapack::batch_exception`	This exception is thrown when problems occur during calculations. You can obtain the info code of the problem using the info() method of the exception object: If `info = -n`, the `n`-th parameter had an illegal value. If `info` equals the value passed as scratchpad size, and detail() returns non-zero, then the passed scratchpad is of insufficient size, and the required size should be not less then value returned by the detail() method of the exception object.

Exception

Description

mkl::lapack::batch_exception

This exception is thrown when problems occur during calculations. You can obtain the info code of the problem using the info() method of the exception object:

If info = -n, the n-th parameter had an illegal value.

If info equals the value passed as scratchpad size, and detail() returns non-zero, then the passed scratchpad is of insufficient size, and the required size should be not less then value returned by the detail() method of the exception object.

Return Values¶

Output event to wait on to ensure computation is complete.

ungqr_batch (Group Version) ungqr_batch_scratchpad_size (Group Version)

oneAPI Math Kernel Library (oneMKL) documentation