oneapi::mkl::sparse::trmv

Intel® oneAPI Math Kernel Library (oneMKL) - Data Parallel C++ Developer Reference

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ID 772045

Date 12/16/2022

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oneapi::mkl::sparse::trmv

Computes a sparse matrix-dense vector product over upper or lower triangular parts of the matrix.

Description
API
Examples

Description

NOTE:

Refer to Sparse BLAS Supported Data and Integer Types for a list of supported <fp> and <intType> data and integer types and refer to Error Handling for a detailed description of the possible exceptions thrown.

The oneapi::mkl::sparse::trmv routine computes a sparse matrix-dense vector product over a triangular part defined as

where and are scalars, is a sparse triangular matrix of size m rows by m columns and and are dense vectors of size m. The operation is a matrix modifier:

For a given matrix decomposition into lower, diagonal and upper parts , the triangular matrix vector product with one of oneapi::mkl::uplo::lower or oneapi::mkl::uplo::upper selected will perform the appropriate matrix product using respectively or for oneapi::mkl::diag::nonunit or if using oneapi::mkl::diag::unit, will perform the appropriate matrix product for or where is the identity matrix.

API

Syntax

NOTE:

Currently, complex types are not supported.

Using SYCL buffers:

namespace oneapi::mkl::sparse {
    void trmv (
        sycl::queue &queue,
        oneapi::mkl::uplo uplo_flag,
        oneapi::mkl::transpose transpose_flag,
        oneapi::mkl::diag diag_flag,
        const fp alpha,
        oneapi::mkl::sparse::matrix_handle_t handle,
        sycl::buffer<fp, 1> &x,
        const fp beta, sycl::buffer<fp, 1> &y)
}

Using USM pointers:

namespace oneapi::mkl::sparse {
    sycl::event trmv(
        sycl::queue &queue,
        oneapi::mkl::uplo uplo_flag,
        oneapi::mkl::transpose transpose_flag,
        oneapi::mkl::diag
        diag_flag,
        const fp alpha,
        oneapi::mkl::sparse::matrix_handle_t handle,
        fp *x,
        const fp beta,
        fp *y,
        const std::vector<sycl::event> &dependencies = {})
}

Include Files

oneapi/mkl/spblas.hpp

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, .
`oneapi::mkl::transpose::trans`	Transpose, .
`oneapi::mkl::transpose::conjtrans`	Conjugate transpose, .

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.

NOTE:

Currently, the only supported case for diag_flag is oneapi::mkl::diag::nonunit.

alpha

Specifies the scalar, .

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 buffer or device-accessible USM pointer of size at least equal to the number of columns of input matrix if transpose_flag = oneapi::mkl::transpose::nontrans and at least the number of rows of input matrix otherwise.

beta

Specifies the scalar, .

y

SYCL buffer or device-accessible USM pointer of size at least equal to the number of rows of the input matrix if transpose_flag = oneapi::mkl::transpose::nontrans and at least the number of columns of the input matrix otherwise.

dependencies

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

Output Parameters

y: Overwritten by the updated vector, .

Return Values (USM Only)

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

Examples

An example of how to use oneapi::mkl::sparse::trmv with SYCL buffers can be found in the oneMKL installation directory, under:

examples/dpcpp/sparse_blas/source/sparse_trmv.cpp

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Intel® oneAPI Math Kernel Library (oneMKL) - Data Parallel C++ Developer Reference

oneapi::mkl::sparse::trmv

Description

API

Examples