Generates the real orthogonal matrices Qi of the batch of QR factorizations formed by geqrf_batch (Group Version). This routine belongs to the mkl::lapack namespace.
cl::sycl::event orgqr_batch(cl::sycl::queue &queue, std::int64_t *m, std::int64_t *n, std::int64_t *k, T **a, std::int64_t *lda, T **tau, std::int64_t group_count, std::int64_t *group_sizes, T *scratchpad, std::int64_t scratchpad_size, const cl::sycl::vector_class<cl::sycl::event> &events = {})
Function supports the following precisions and devices.
T | Devices supported |
---|---|
float | Host, CPU, and GPU |
double | Host, CPU, and GPU |
The routine generates the wholes or parts of the m-by-m orthogonal matrices Q1 of the batch of QR factorizations formed by the routine geqrf_batch (Group Version). Usually, Q1 is determined from the QR factorization of an m-by-p matrix A1 with m ≥p.
To compute the whole matrices Q1, use:
orgqr_batch(queue, m, m, p, a, ...)
To compute the leading p columns of Q1 (which form an orthonormal basis in the space spanned by the columns of A1):
orgqr_batch(queue, m, p, p, a, ...)
To compute the matrices Q1k of the QR factorizations of leading k columns of the matrices A1:
orgqr_batch(queue, m, m, k, a, ...)
To compute the leading k columns of Q1k (which form an orthonormal basis in the space spanned by leading k columns of the matrices A1):
orgqr_batch(queue, m, k, k, a, ...)
Device queue where calculations will be performed.
Array of group_count parameters mg as previously supplied to geqrf_batch (Group Version).
Array of group_count parameters ng as previously supplied to geqrf_batch (Group Version).
Array of group_count parameters kg as previously supplied to geqrf_batch (Group Version). The number of elementary reflectors whose product defines the matrices Qi (0 ≤ kg ≤ ng) .
Array resulting after a call to geqrf_batch (Group Version).
Array of leading dimension of Ai as previously supplied to geqrf_batch (Group Version).
Array resulting after a call to geqrf_batch (Group Version).
Specifies the number of groups of parameters. Must be at least 0.
Array of group_count integers. Array element with index g specifies the number of problems to solve for each of the groups of parameters g. So the total number of problems to solve, batch_size, is a sum of all parameter group sizes.
Scratchpad memory to be used by routine for storing intermediate results.
Size of scratchpad memory as a number of floating point elements of type T. Size should not be less then the value returned by orgqr_batch_scratchpad_size.
List of events to wait for before starting computation. Defaults to empty list.
Matrices pointed to by array a are overwritten by ng leading columns of the mg-by-mg orthogonal matrices Qi, where g is an index of group of parameters corresponding to Qi.
Exceptions
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. |
Output event to wait on to ensure computation is complete.