Visible to Intel only — GUID: GUID-00E1E2BE-DCCF-4F4F-83C3-D6A035DD2C06
Visible to Intel only — GUID: GUID-00E1E2BE-DCCF-4F4F-83C3-D6A035DD2C06
unmrq
Multiplies a complex matrix by the unitary matrix Q of the RQ factorization formed by gerqf. This routine belongs to the oneapi::mkl::lapack namespace.
Description
The routine multiplies a complex m-by-n matrix C by Q or QH, where Q is the complex unitary matrix defined as a product of k elementary reflectors H(i) of order n: Q = H(1)H* H(2)H*…*H(k)Has returned by the RQ factorization routine gerqf .
Depending on the parameters side and trans, the routine can form one of the matrix products Q*C, QH*C, C*Q, or C*QH (overwriting the result over C).
API
Syntax
namespace oneapi::mkl::lapack { void unmrq(sycl::queue &queue, mkl::side side, mkl::transpose trans, std::int64_t m, std::int64_t n, std::int64_t k, sycl::buffer<T> &a, std::int64_t lda, sycl::buffer<T> &tau, sycl::buffer<T> &c, std::int64_t ldc, sycl::buffer<T> &scratchpad, std::int64_t scratchpad_size) }
unmrq supports the following precisions and devices:
T |
Devices supported |
---|---|
std::complex<float> |
CPU |
std::complex<double> |
CPU |
Input Parameters
- queue
-
Device queue where calculations will be performed.
- side
-
If side = mkl::side::left, Q or QT is applied to C from the left. If side = mkl::side::right, Q or QT is applied to C from the right.
- trans
-
If trans=mkl::transpose::trans, the routine multiplies C by Q.
If trans=mkl::transpose::nontrans, the routine multiplies C by QT.
- m
-
The number of rows in the matrix A (0 ≤ m).
- n
-
The number of columns in the matrix A (0 ≤ n ≤ m).
- k
-
The number of elementary reflectors whose product defines the matrix Q (0 ≤ k ≤ n).
- a
-
Buffer holding the result of the gerqf function. The second dimension of a must be at least max(1,k).
- lda
-
The leading dimension of a.
- tau
-
Buffer holding tau returned by the :ref:`gerqf function.
- c
-
Buffer holding the matrix C. The second dimension of c must be at least max(1,n).
- ldc
-
The leading dimension of c.
- scratchpad
-
Buffer holding 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 unmrq_scratchpad_size function.
Output Parameters
- c
-
Overwritten by the product Q*C, QT*C, C*Q, or C*QT (as specified by side and trans).
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. |