getrs_batch_scratchpad_size#

Computes size of scratchpad memory required for the getrs_batch function.

Description

getrs_batch_scratchpad_size supports the following precisions.

T

float

double

std::complex<float>

std::complex<double>

T
`float`
`double`
`std::complex<float>`
`std::complex<double>`

Group API

Computes the number of elements of type T the scratchpad memory should able to hold to be passed to the Group API of the getrs_batch function.

Syntax

namespace oneapi::mkl::lapack {
  template <typename T>
  std::int64_t getrs_batch_scratchpad_size(sycl::queue &queue, mkl::transpose *trans, std::int64_t *n, std::int64_t *nrhs, std::int64_t *lda, std::int64_t *ldb, std::int64_t group_count, std::int64_t *group_sizes)
}

Input Parameters

queue: Device queue where calculations will be performed.
trans: Array of group_count parameters \(\text{trans}_g\) indicating the form of the equations for the group \(g\):

If trans = mkl::transpose::nontrans, then \(A_iX_i = B_i\) is solved for \(X_i\).

If trans = mkl::transpose::trans, then \(A_i^TX_i = B_i\) is solved for \(X_i\).

If trans = mkl::transpose::conjtrans, then \(A_iHX_i = B_i\) is solved for \(X_i\).
n: Array of group_count parameters \(n_g\) specifying the order of the matrices \(A_i\) and the number of rows in matrices \(B_i\) (\(0 \le n_g\)) belonging to group \(g\).
nrhs: Array of group_count parameters nrhsg specifying the number of right-hand sides (\(0 \le \text{nrhs}_g\)) for group \(g\).
lda: Array of group_count parameters \(\text{lda}_g\) specifying the leading dimensions of \(A_i\) from group \(g\).
ldb: Array of group_count parameters \(\text{ldb}_g\) specifying the leading dimensions of \(B_i\) in the group \(g\).
group_count: 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.

Return Values

Number of elements of type T the scratchpad memory should able to hold to be passed to the Group API of the getrs_batch function.

Strided API

Computes the number of elements of type T the scratchpad memory should able to hold to be passed to the Strided API of the getrs_batch function.

Syntax

namespace oneapi::mkl::lapack {
  template <typename T>
  std::int64_t getrs_batch_scratchpad_size(sycl::queue &queue, mkl::transpose trans, std::int64_t n, std::int64_t nrhs, std::int64_t lda, std::int64_t stride_a, std::int64_t stride_ipiv, std::int64_t ldb, std::int64_t stride_b, std::int64_t batch_size)
};

Input Parameters

queue: Device queue where calculations will be performed.
trans: Indicates the form of the equations:

If trans = mkl::transpose::nontrans, then \(A_iX_i = B_i\) is solved for \(X_i\).

If trans = mkl::transpose::trans, then \(A_i^TX_i = B_i\) is solved for \(X_i\).

If trans = mkl::transpose::conjtrans, then \(A_i^HX_i = B_i\) is solved for \(X_i\).
n: Order of the matrices \(A_i\) and the number of rows in matrices \(B_i\) (\(0 \le n\)).
nrhs: Number of right-hand sides (\(0 \le \text{nrhs}\)).
lda: Leading dimension of \(A_i\).
stride_a: Stride between the beginnings of matrices \(B_i\) inside the batch array b.
stride_ipiv: Stride between the beginnings of arrays ipivi inside the array ipiv.
ldb: Leading dimension of \(B_i\).
batch_size: Number of problems in a batch.

Return Values

Number of elements of type T the scratchpad memory should able to hold to be passed to the Strided API of the getrs_batch function.

Parent topic: LAPACK-like Extensions Routines