getri_batch (Out-of-place, Buffer Strided Version)

oneMKL - Data Parallel C++ Developer Reference

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ID 772045

Date 6/24/2024

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getri_batch (Out-of-place, Buffer Strided Version)

Computes the batch of inverses of an LU-factored general matrices determined by getrf_batch (Buffer stride 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. Before calling this routine, call getrf_batch (Buffer Strided Version) function to factorize A_i.

API

Syntax

namespace oneapi::mkl::lapack {
 void getri_batch(sycl::queue &queue,
 int64_t n,
 sycl::buffer<T> &a,
 int64_t lda,
 int64_t stride_a,
 sycl::buffer<int64_t> &ipiv,
 int64_t stride_ipiv,
 sycl::buffer<T> &ainv,
 int64_t ldainv,
 int64_t stride_ainv,
 int64_t batch_size,
 sycl::buffer<T> &scratchpad,
 int64_t scratchpad_size)
}

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: The order of the matrices A_i (n ≥ 0).
a: Result of the getrf_batch (Buffer Strided Version) function
lda: The leading dimension of A_i (lda ≥ max(1, n)).
stride_a: The stride between the beginnings of matrices A_i inside the batch array a (stride_a ≥ max(1, lda * n)).
ipiv: The array as returned by getrf_batch (Buffer Strided Version).
stride_ipiv: The stride between the beginnings of arrays ipiv_i inside the array ipiv (stride_ipiv ≥ max(1, n)).
ldainv: The leading dimension of Ainv_i (ldainv ≥ max(1, n)).
stride_ainv: The stride between the beginnings of matrices Ainv_i inside the batch array ainv (stride_ainv ≥ max(1, ldainv * n)).
batch_size: The number of problems in a batch (batch_size ≥ 0).
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 than the value returned by the out-of-place, stride version of getri_batch_scratchpad_size (Strided Version) function.

Output Parameters

ainv: Overwritten by the n-by-n 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.

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oneMKL - Data Parallel C++ Developer Reference

getri_batch (Out-of-place, Buffer Strided Version)

Description

API