getri_batch (Group Version)

oneMKL - Data Parallel C++ Developer Reference

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ID 772045

Date 11/07/2023

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getri_batch (Group Version)

Computes the batch of inverses of an LU-factored general matrices determined by the getrf_batch (Group Version) function. This routine belongs to the oneapi::mkl::lapack namespace.

Description
API

Description

The routine computes the inverses A_i^-1 of a general matrices A_i, iϵ{1...batch_size}. Before calling this routine, call getrf_batch (Group Version) function to factorize A_i.

The total number of problems to solve, batch_size, is a sum of sizes of all of the groups of parameters as provided by group_sizesarray.

API

Syntax

namespace oneapi::mkl::lapack {
  sycl::event getri_batch(sycl::queue &queue,
  std::int64_t *n,
  T **a,
  std::int64_t *lda,
  std::int64_t **ipiv,
  std::int64_t group_count,
  std::int64_t *group_sizes,
  T *scratchpad,
  std::int64_t scratchpad_size,
  const std::vector<sycl::event> &events = {})
}

This function supports the following precisions and devices:

T	Devices supported
`float`	CPU and GPU
`double`	CPU and GPU
`std::complex<float>`	CPU and GPU
`std::complex<double>`	CPU and GPU

Input Parameters

queue: Device queue where calculations will be performed.
n: Array of group_count parameters n_g specifying the order of the matrices A_i belonging to group g (n_g ≥ 0).
a: Result of the getrf_batch (Group Version) function. The pointers must be device-accessible.
lda: Array of group_count parameters lda_g specifying the leading dimension of A_i belonging to group g (lda_g ≥ max(1, n_g)).
ipiv: The array as returned by getrf_batch (Group Version). The pointers must be device-accessible.
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 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: 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 getri_batch_scratchpad_size (Group Version).
events: List of events to wait for before starting computation. Defaults to empty list.

Output Parameters

a: Overwritten by the n_g-by-n_g matrices A_i^-1.

Exceptions

Exception	Description
`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.

Exception

Description

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.

Return Values

Output event to wait on to ensure computation is complete.

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oneMKL - Data Parallel C++ Developer Reference

getri_batch (Group Version)

Description

API