TRTRS

Solves triangular systems. More...

Collaboration diagram for TRTRS:

Functions
template<typename T , size_t M, size_t N, size_t NRHS>
auto	tatooine::lapack::trtrs (tensor< T, M, N > &A, tensor< T, M, NRHS > &B, uplo const u, op const t, diag const d)
template<typename T , size_t M, size_t N>
auto	tatooine::lapack::trtrs (tensor< T, M, N > &A, tensor< T, M > &b, uplo const u, op const t, diag const d)
template<typename T >
auto	tatooine::lapack::trtrs (tensor< T > &A, tensor< T > &B, uplo const u, op const t, diag const d)

Detailed Description

Solves triangular systems.

TRTRS solves a triangular system of the form

\(\mA \cdot \mX = \mB\) or \(\Transpose{\mA} \cdot \mX = \mB\)

where \(\mathbf{A}\) is a triangular matrix of order N, and \(\mathbf{B}\) is an N x RHS matrix. A check is made to verify that \(\mathbf{A}\) is nonsingular.

• LAPACK documentation

Function Documentation

trtrs() [1/3]

template<typename T >

auto tatooine::lapack::trtrs	(	tensor< T > &	A,
		tensor< T > &	B,
		uplo const	u,
		op const	t,
		diag const	d
	)

Parameters

[in]	A	The triangular matrix \(\mA\).
[in,out]	B	On entry, the right hand side matrix \(\mB\). On exit, if INFO = 0, the solution matrix \(\mX\).
	uplo	A is lower or upper triangular matrix: U: \(\mA\) is upper triangular; L: \(\mA\) is lower triangular.
	diag	A is unit (1s on main diagonal) or non-unit N: \(\mA\) is non-unit triangular U: \(\mA\) is unit triangular

trtrs() [2/3]

template<typename T , size_t M, size_t N>

auto tatooine::lapack::trtrs	(	tensor< T, M, N > &	A,
		tensor< T, M > &	b,
		uplo const	u,
		op const	t,
		diag const	d
	)

Parameters

[in]	A	The triangular matrix \(\mA\).
[in,out]	b	On entry, the right hand side vector \(\vb\). On exit, the solution vector \(\vx\).
	uplo	\(\mA\) is lower or upper triangular matrix: U: \(\mA\) is upper triangular; L: \(\mA\) is lower triangular.
	diag	A is unit (1s on main diagonal) or non-unit N: \(\mA\) is non-unit triangular U: \(\mA\) is unit triangular

trtrs() [3/3]

template<typename T , size_t M, size_t N, size_t NRHS>

auto tatooine::lapack::trtrs	(	tensor< T, M, N > &	A,
		tensor< T, M, NRHS > &	B,
		uplo const	u,
		op const	t,
		diag const	d
	)

Parameters

[in]	A	The triangular matrix \(\mA\).
[in,out]	B	On entry, the right hand side matrix \(\mB\). On exit, if INFO = 0, the solution matrix \(\mX\).
	uplo	A is lower or upper triangular matrix: U: \(\mA\) is upper triangular; L: \(\mA\) is lower triangular.
	diag	A is unit (1s on main diagonal) or non-unit N: \(\mA\) is non-unit triangular U: \(\mA\) is unit triangular