Visible to Intel only — GUID: GUID-3369F9D1-DA8F-49C9-B5CD-92698657456D
Visible to Intel only — GUID: GUID-3369F9D1-DA8F-49C9-B5CD-92698657456D
tbsv
Solves a system of linear equations whose coefficients are in a triangular band matrix.
Description
The tbsv routines solve a system of linear equations whose coefficients are in a triangular band 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 band matrix, with (k + 1) diagonals
b and x are vectors of length n
tbsv supports the following precisions:
T |
---|
float |
double |
std::complex<float> |
std::complex<double> |
tbsv (Buffer Version)
Syntax
namespace oneapi::mkl::blas::column_major { void tbsv(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 tbsv(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.
- 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 solution vector x.
tbsv (USM Version)
Syntax
namespace oneapi::mkl::blas::column_major { sycl::event tbsv(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 tbsv(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.
- 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 solution vector x.
Return Values
Output event to wait on to ensure computation is complete.