getrs (USM Version)

Solves a system of linear equations with an LU-factored square coefficient matrix, with multiple right-hand sides. This routine belongs to the oneapi::mkl::lapacknamespace.


cl::sycl::event getrs(cl::sycl::queue &queue, mkl::transpose trans, std::int64_t n, std::int64_t nrhs, T *a, std::int64_t lda, std::int64_t *ipiv, T *b, std::int64_t ldb, T *scratchpad, std::int64_t scratchpad_size, const cl::sycl::vector_class<cl::sycl::event> &events = {})

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


Devices supported


Host, CPU, GPU


Host, CPU, GPU


Host, CPU, GPU


Host, CPU, GPU


The routine solves for X the following systems of linear equations:

A*X = B

if trans=mkl::transpose::nontrans

AT*X = B

if trans=mkl::transpose::trans

AH*X = B

if trans=mkl::transpose::conjtrans

Before calling this routine, you must call the getrf (USM Version) function to compute the LU factorization of A.

Input Parameters


Device queue where calculations will be performed.


Indicates the form of the equations:

If trans=mkl::transpose::nontrans, then A*X = B is solved for X.

If trans=mkl::transpose::trans, then AT*X = B is solved for X.

If trans=mkl::transpose::conjtrans, then AH*X = B is solved for X.


The order of the matrix A and the number of rows in matrix B(0≤n).


The number of right-hand sides (0≤nrhs).


Pointer to the array containing the factorization of the matrix A, as returned by getrf (USM Version). The second dimension of a must be at least max(1, n).


The leading dimension of a.


Array, size at least max(1, n). The ipiv array, as returned by getrf (USM Version).


The array b contains the matrix B whose columns are the right-hand sides for the systems of equations. The second dimension of b must be at least max(1,nrhs).


The leading dimension of b.


Pointer to scratchpad memory to be used by the routine for storing intermediate results.


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 getrs_scratchpad_size function.


List of events to wait for before starting computation. Defaults to empty list.

Output Parameters


The buffer b is overwritten by the solution matrix X.



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 = i, the i-th diagonal element of U is zero, and the solve could not be completed. 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.