geqrf (USM Version)¶

Computes the QR factorization of a general m-by-n matrix. This routine belongs to the oneapi::mkl::lapack namespace.

Description ¶

The routine forms the QR factorization of a general m-by-n matrix A. No pivoting is performed.

The routine does not form the matrix Q explicitly. Instead, Q is represented as a product of min(m, n) elementary reflectors. Routines are provided to work with Q in this representation.

API ¶

Syntax¶

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

gerqf (USM version) supports the following precisions and devices:

T	Devices supported
`float`	Host, CPU, and GPU
`double`	Host, CPU, and GPU
`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 matrix A (0≤m).
n: The number of columns in the matrix A (0≤n).
a: Pointer to the memory holding input matrix A. The second dimension of a must be at least max(1, n).
lda: The leading dimension of a, at least max(1, m).
scratchpad: Pointer to scratchpad memory to be used by the 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 the geqrf_scratchpad_size function.
events: List of events to wait for before starting computation. Defaults to empty list.

Output Parameters¶

a

Overwritten by the factorization data as follows:

The elements on and above the diagonal of the array contain the min(m,n)-by-n upper trapezoidal matrix R (R is upper triangular if m≥n); the elements below the diagonal, with the array tau, present the orthogonal matrix Q as a product of min(m,n) elementary reflectors.

tau

Array, size at least min(m,n).

Contains scalars that define elementary reflectors for the matrix Q in its decomposition in a product of elementary reflectors.

Exceptions¶

Exception	Description
`mkl::lapack::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 = -i`, the `i`-th parameter had an illegal value. If `info` is equal to the value passed as scratchpad size, and detail() returns non zero, then the passed scratchpad has an insufficient size, and the required size should not be less than the value returned by the detail() method of the exception object.

Exception

Description

mkl::lapack::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 = -i, the i-th parameter had an illegal value.

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

Return Values¶

Output event to wait on to ensure computation is complete.

geqrf geqrf_batch (Buffer Strided Version)

oneAPI Math Kernel Library (oneMKL) documentation