getrfnp_batch (Group Version)#
Computes the batch of LU factorizations of a batch of general m-by-n matrices.
This routine belongs to the oneapi::mkl::lapack namespace.
Description#
The routine computes the LU factorizations of a batch of general
m-by-n matrices Ai, (iϵ{1...batch_size}) as
Where Li is lower triangular with unit diagonal elements
(lower trapezoidal if m > n) and Ui is upper triangular
(upper trapezoidal if m < n). The routine does not perform any pivoting.
Total number of problems to solve, batch_size, is a sum of sizes
of all of the groups of parameters as provided by
group_sizes array.
API#
Syntax#
namespace oneapi::mkl::lapack {
sycl::event getrfnp_batch(sycl::queue &queue,
int64_t *m,
int64_t *n,
T **a,
int64_t *lda,
int64_t group_count,
int64_t *group_sizes,
T *scratchpad,
int64_t scratchpad_size,
const std::vector<sycl::event> &events = {})
}
This function supports the following precisions and devices:
T |
Devices supported |
|---|---|
|
CPU and GPU |
|
CPU and GPU |
|
CPU and GPU |
|
CPU and GPU |
Input Parameters#
- queue
Device queue where calculations will be performed.
- m
Array of
group_countparameters mg specifying the number of rows in the matricesAi belonging to groupg(mg ≥ 0).- n
Array of
group_countparameters ng specifying the number of columns in the matricesAi belonging to groupg(ng ≥ 0).- a
Array of
batch_sizepointers to input matricesAi. The pointers must be device-accessible.- lda
Array of
group_countparameters ldag specifying the leading dimension ofAi belonging to groupg(ldag ≥max(1, mg)).- group_count
Specifies the number of groups of parameters. Must be at least 0.
- group_sizes
Array of group_count integers. Array element with index
gspecifies the number of problems to solve for each of the groups of parametersg. So the total number of problems to solve,batch_size, is a sum of all parameter group sizes.- 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 then the value returned by getrfnp_batch_scratchpad_size (Group Version).
- events
List of events to wait for before starting computation. Defaults to empty list.
Output Parameters#
- a
Matrices pointed to by array
aare overwritten byLi andUi. The unit diagonal elements ofLi are not stored.
Exceptions#
Exception |
Description |
|---|---|
|
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 If If |
Return Values#
Output event to wait on to ensure computation is complete.