Intel® oneAPI Math Kernel Library (oneMKL) - Data Parallel C++ Developer Reference
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trsv
Solves a system of linear equations whose coefficients are in a triangular matrix.
Description
The trsv routines solve a system of linear equations whose coefficients are in a triangular matrix. The operation is defined as:
where:
op(A) is one of op(A) = A, or op(A) = AT, or op(A) = AH
A is n x n unit or non-unit, upper or lower triangular matrix
b and x are vectors of length n
trsv supports the following precisions:
T |
|---|
float |
double |
std::complex<float> |
std::complex<double> |
trsv (Buffer Version)
Syntax
namespace oneapi::mkl::blas::column_major {
void trsv(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 trsv(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
-
Number of rows and columns 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 n and positive.
- x
-
Buffer holding the n-element right-hand side vector b. Size of the buffer must be at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.
- incx
-
Stride of vector x.
Output Parameters
- x
-
Buffer holding solution vector x.
trsv (USM Version)
Syntax
namespace oneapi::mkl::blas::column_major {
sycl::event trsv(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 trsv(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
-
Number of rows and columns 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 n and positive.
- x
-
Pointer to the n-element right-hand side vector b. Size of the array holding the n-element right-hand side vector b must be at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.
- incx
-
Stride of vector x.
- dependencies
-
List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.
Output Parameters
- x
-
Pointer to solution vector x.
Return Values
Output event to wait on to ensure computation is complete.