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trsm
Solves a triangular matrix equation (forward or backward solve).
Description
The trsm routines solve triangular matrix equations where one of the matrices in the multiplication is triangular. The argument left_right determines if the triangular matrix, A, is on the left of the multiplication (left_right = side::left) or on the right (left_right = side::right). The operation is defined as:
If (left_right = side::left),
If (left_right = side::right),
where:
op(A) is one of op(A) = A, or op(A) = AT, or op(A) = AH
alpha is a scalar
A is either m x m or n x n triangular matrix
B and X are m x n general matrices
On return, matrix B is overwritten by solution matrix X.
trsm supports the following precisions:
T |
|---|
float |
double |
std::complex<float> |
std::complex<double> |
trsm (Buffer Version)
Syntax
namespace oneapi::mkl::blas::column_major {
void trsm(sycl::queue &queue,
oneapi::mkl::side left_right,
oneapi::mkl::uplo upper_lower,
oneapi::mkl::transpose transa,
oneapi::mkl::diag unit_diag,
std::int64_t m,
std::int64_t n,
T alpha,
sycl::buffer<T,1> &a,
std::int64_t lda,
sycl::buffer<T,1> &b,
std::int64_t ldb,
compute_mode mode = compute_mode::unset)
}
namespace oneapi::mkl::blas::row_major {
void trsm(sycl::queue &queue,
oneapi::mkl::side left_right,
oneapi::mkl::uplo upper_lower,
oneapi::mkl::transpose trans,
oneapi::mkl::diag unit_diag,
std::int64_t m,
std::int64_t n,
T alpha,
sycl::buffer<T,1> &a,
std::int64_t lda,
sycl::buffer<T,1> &b,
std::int64_t ldb,
compute_mode mode = compute_mode::unset)
}
Input Parameters
- queue
-
The queue where the routine should be executed.
- left_right
-
Specifies whether matrix A is on the left side or right side of the multiplication. See Data Types for more details.
- 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.
- m
-
Number of rows of matrix B. Must be at least zero.
- n
-
Number of columns of matrix B. Must be at least zero.
- alpha
-
Scaling factor for the solution.
- a
-
Buffer holding input matrix A. Size of the buffer must be at least lda * m if left_right = side::left or lda * n if left_right = side::right. See Matrix Storage for more details.
- lda
-
Leading dimension of matrix A. Must be at least m if left_right = side::left or at least n if left_right = side::right. Must be positive.
- b
-
Buffer holding input matrix B. Size of the buffer must be at least ldb * n if column major layout or at least ldb * m if row major layout is used. See Matrix Storage for more details.
- ldb
-
Leading dimension of matrix B. Must be at least m if column major layout or at least n if row major layout is used. Must be positive.
- mode
-
Optional. Compute mode settings. See Compute Modes for more details.
Output Parameters
- b
-
Output buffer overwritten by solution matrix X.
trsm (USM Version)
Syntax
namespace oneapi::mkl::blas::column_major {
sycl::event trsm(sycl::queue &queue,
oneapi::mkl::side left_right,
oneapi::mkl::uplo upper_lower,
oneapi::mkl::transpose trans,
oneapi::mkl::diag unit_diag,
std::int64_t m,
std::int64_t n,
T alpha,
const T *a,
std::int64_t lda,
T *b,
std::int64_t ldb,
compute_mode mode = compute_mode::unset,
const std::vector<sycl::event> &dependencies = {})
}
namespace oneapi::mkl::blas::row_major {
sycl::event trsm(sycl::queue &queue,
oneapi::mkl::side left_right,
oneapi::mkl::uplo upper_lower,
oneapi::mkl::transpose trans,
oneapi::mkl::diag unit_diag,
std::int64_t m,
std::int64_t n,
T alpha,
const T *a,
std::int64_t lda,
T *b,
std::int64_t ldb,
compute_mode mode = compute_mode::unset,
const std::vector<sycl::event> &dependencies = {})
}
Input Parameters
- queue
-
The queue where the routine should be executed.
- left_right
-
Specifies whether matrix A is on the left side or right side of the multiplication. See Data Types for more details.
- 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.
- m
-
Number of rows of matrix B. Must be at least zero.
- n
-
Number of columns of matrix B. Must be at least zero.
- alpha
-
Scaling factor for the solution.
- a
-
Pointer to input matrix A. Size of the array must be at least lda * m if left_right = side::left or lda * n if left_right = side::right. See Matrix Storage for more details.
- lda
-
Leading dimension of matrix A. Must be at least m if left_right = side::left or at least n if left_right = side::right. Must be positive.
- b
-
Pointer to input matrix B. Size of the array must be at least ldb * n if column major layout or at least ldb * m if row major layout is used. See Matrix Storage for more details.
- ldb
-
Leading dimension of matrix B. Must be at least m if column major layout or at least n if row major layout is used. Must be positive.
- mode
-
Optional. Compute mode settings. See Compute Modes for more details.
- dependencies
-
Optional. List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.
mode and dependencies may be omitted independently; it is not necessary to specify mode in order to provide dependencies.
Output Parameters
- b
-
Pointer to output matrix overwritten by solution matrix X.
Return Values
Output event to wait on to ensure computation is complete.