tbmv

oneMKL - Data Parallel C++ Developer Reference

Download PDF

ID 772045

Date 6/24/2024

Version

Public

A newer version of this document is available. Customers should click here to go to the newest version.

Visible to Intel only — GUID: GUID-94DBF324-C6D4-48D0-B46F-E64A44A42666

View Details

tbmv

Computes a matrix-vector product using a triangular band matrix.

Description

The tbmv routines compute a matrix-vector product with a triangular band matrix. The operation is defined as:

where:

op(A) is one of op(A) = A, or op(A) = A^T, or op(A) = A^H
A is n x n unit or non-unit, upper or lower triangular band matrix, with (k + 1) diagonals
x is a vector of length n

tbmv supports the following precisions:

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

tbmv (Buffer Version)

Syntax

namespace oneapi::mkl::blas::column_major {
    void tbmv(sycl::queue &queue,
              oneapi::mkl::uplo upper_lower,
              oneapi::mkl::transpose trans,
              oneapi::mkl::diag unit_diag,
              std::int64_t n,
              std::int64_t k,
              sycl::buffer<T,1> &a,
              std::int64_t lda,
              sycl::buffer<T,1> &x,
              std::int64_t incx)
}

namespace oneapi::mkl::blas::row_major {
    void tbmv(sycl::queue &queue,
              oneapi::mkl::uplo upper_lower,
              oneapi::mkl::transpose trans,
              oneapi::mkl::diag unit_diag,
              std::int64_t n,
              std::int64_t k,
              sycl::buffer<T,1> &a,
              std::int64_t lda,
              sycl::buffer<T,1> &x,
              std::int64_t incx)
}

Input Parameters

queue: The queue where the routine should be executed.
upper_lower: Specifies whether matrix A is upper or lower triangular. See Data Types for more details..
trans: Specifies op(A), the transposition operation applied to matrix A. See Data Types for more details.
unit_diag: Specifies whether matrix A is unit triangular or not. See Data Types for more details.
n: Numbers of rows and columns of matrix A. Must be at least zero.
k: Number of sub/super-diagonals of matrix A. Must be at least zero.
a: Buffer holding input matrix A. Size of the buffer must be at least lda * n. See Matrix Storage for more details.
lda: Leading dimension of matrix A. Must be at least (k + 1) and positive.
x: Buffer holding input vector x. Size of the buffer must be at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.
incx: Stride of vector x. Must not be zero.

Output Parameters

x: Buffer holding updated vector x.

tbmv (USM Version)

Syntax

namespace oneapi::mkl::blas::column_major {
    sycl::event tbmv(sycl::queue &queue,
                     oneapi::mkl::uplo upper_lower,
                     oneapi::mkl::transpose trans,
                     oneapi::mkl::diag unit_diag,
                     std::int64_t n,
                     std::int64_t k,
                     const T *a,
                     std::int64_t lda,
                     T *x,
                     std::int64_t incx,
                     const std::vector<sycl::event> &dependencies = {})
}

namespace oneapi::mkl::blas::row_major {
    sycl::event tbmv(sycl::queue &queue,
                     oneapi::mkl::uplo upper_lower,
                     oneapi::mkl::transpose trans,
                     oneapi::mkl::diag unit_diag,
                     std::int64_t n,
                     std::int64_t k,
                     const T *a,
                     std::int64_t lda,
                     T *x,
                     std::int64_t incx,
                     const std::vector<sycl::event> &dependencies = {})
}

Input Parameters

queue: The queue where the routine should be executed.
upper_lower: Specifies whether matrix A is upper or lower triangular. See Data Types for more details.
trans: Specifies op(A), the transposition operation applied to matrix A. See Data Types for more details.
unit_diag: Specifies whether matrix A is unit triangular or not. See Data Types for more details.
n: Numbers of rows and columns of matrix A. Must be at least zero.
k: Number of sub/super-diagonals of matrix A. Must be at least zero.
a: Pointer to input matrix A. Size of the array holding input matrix A must be at least lda * n. See Matrix Storage for more details.
lda: Leading dimension of matrix A. Must be at least (k + 1) and positive.
x: Pointer to input vector x. Size of the array holding input vector x must be at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.
incx: Stride of vector x. Must not be zero.
dependencies: List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.

Output Parameters

x: Pointer to updated vector x.

Return Values

Output event to wait on to ensure computation is complete.

Select Your Language

Using Intel.com Search

Quick Links

Recent Searches

Advanced Search

Only search in

oneMKL - Data Parallel C++ Developer Reference

tbmv

Description

tbmv (Buffer Version)

tbmv (USM Version)