oneapi::mkl::sparse::trsv

Solves a system of linear equations for a triangular sparse matrix.

Syntax

Note

Currently, complex types are not supported.

Using SYCL buffers:

void oneapi::mkl::sparse::trsv(cl::sycl::queue &queue, oneapi::mkl::uplo uplo_flag, oneapi::mkl::transpose transpose_flag, oneapi::mkl::diag diag_flag, oneapi::mkl::sparse::matrix_handle_t handle, cl::sycl::buffer<fp, 1> &x, cl::sycl::buffer<fp, 1> &y)

Using USM pointers:

cl::sycl::event oneapi::mkl::sparse::trsv(cl::sycl::queue &queue, oneapi::mkl::uplo uplo_flag, oneapi::mkl::transpose transpose_flag, oneapi::mkl::diag diag_flag, oneapi::mkl::sparse::matrix_handle_t handle, fp *x, fp *y, const cl::sycl::vector_class<cl::sycl::event> &dependencies = {})

Include Files

  • mkl_spblas_sycl.hpp

Description

Note

Refer to Supported Types for a list of supported <fp> and <intType>, and refer to Exceptions for a detailed description of the exceptions thrown. The oneapi::mkl::sparse::trsv routine solves a system of linear equations for a square matrix:

op(A)*y =  x

where A is a triangular sparse matrix of size m rows by m columns, op is a matrix modifier for matrix A, alpha is a scalar, and x and y are dense vectors of length at least m.

Input Parameters

queue

Specifies the SYCL command queue which will be used for SYCL kernels execution.

uplo_flag

Specifies which part of the matrix is to be processed.

oneapi::mkl::uplo::lower

The lower triangular matrix part is processed.

oneapi::mkl::uplo::upper

The upper triangular matrix part is processed.

transpose_flag

Specifies operation op() on input matrix.

oneapi::mkl::transpose::nontrans

Non-transpose, op(A) = A.

oneapi::mkl::transpose::trans

Transpose, op(A) = AT.

oneapi::mkl::transpose::conjtrans

Conjugate transpose, op(A) = AH.

Note

Currently, the only supported case for operation is oneapi::mkl::transpose::nontrans.

diag_flag

Specifies if the diagonal used for computations is unit or not.

oneapi::mkl::diag::nonunit

Diagonal elements might not be equal to one.

oneapi::mkl::diag::unit

Diagonal elements are equal to one.

handle

Handle to object containing sparse matrix and other internal data. Created using one of the oneapi::mkl::sparse::set_<sparse_matrix_type>_data routines.

Note

Currently, the only supported case for <sparse_matrix_type> is csr.

x

SYCL or USM memory object containing an array of size at least equal to the number of columns of input matrix if op = oneapi::mkl::transpose::nontrans and at least the number of rows of input matrix otherwise. It is the input vector x

y

SYCL or USM memory object containing an array of size at least equal to the number of rows of the input matrix if op = oneapi::mkl::transpose::nontrans and at least the number of columns of the input matrix otherwise.

dependencies

A vector of type cl::sycl::vector_class<cl::sycl::event> containing the list of events that the oneapi::mkl::sparse::trsv routine depends on.

Output Parameters

y

SYCL or USM memory object containing an array of size at least nRows filled with the solution to the system of linear equations.

Return Values (USM Only)

cl::sycl::event

SYCL event which can be waited upon or added as a dependency for the completion of the trsv routine.

Example

An example of how to use oneapi::mkl::sparse::trsv with SYCL buffers or USM can be found in the Intel® oneMKL installation directory, under:

examples/sycl/spblas/sparse_trsv.cpp
examples/sycl/spblas/sparse_trsv_usm.cpp