trmm: Triangular matrix multiply

\(B = \alpha A B\) or \(B = \alpha B A\) where \(A\) is triangular More...

Functions
template<typename scalar_t >
void	slate::trmm (blas::Side side, scalar_t alpha, TriangularMatrix< scalar_t > &A, Matrix< scalar_t > &B, Options const &opts)
	Distributed parallel triangular matrix-matrix multiplication.

Detailed Description

\(B = \alpha A B\) or \(B = \alpha B A\) where \(A\) is triangular

Function Documentation

trmm()

template<typename scalar_t >

void slate::trmm	(	blas::Side	side,
		scalar_t	alpha,
		TriangularMatrix< scalar_t > &	A,
		Matrix< scalar_t > &	B,
		Options const &	opts
	)

Distributed parallel triangular matrix-matrix multiplication.

Performs one of the triangular matrix-matrix operations

\[ B = \alpha A B, \]

or

\[ B = \alpha B A, \]

where alpha is a scalar, B is an m-by-n matrix and A is a unit or non-unit, upper or lower triangular matrix. The matrices can be transposed or conjugate-transposed beforehand, e.g.,

auto AT = slate::transpose( A );
slate::trmm( Side::Left, alpha, AT, B );

Complexity (in real): \(m^{2} n\) flops.

Template Parameters

scalar_t

One of float, double, std::complex<float>, std::complex<double>.

Parameters

[in]	side	Whether A appears on the left or on the right of B: Side::Left: \(B = \alpha A B\) Side::Right: \(B = \alpha B A\)
[in]	alpha	The scalar alpha.
[in]	A	If side = left, the m-by-m triangular matrix A; if side = right, the n-by-n triangular matrix A.
[in,out]	B	On entry, the m-by-n matrix B. On exit, overwritten by the result \(\alpha A B\) or \(\alpha B A\).
[in]	opts	Additional options, as map of name = value pairs. Possible options: Option::Lookahead: Number of blocks to overlap communication and computation. lookahead >= 0. Default 1. Option::Target: Implementation to target. Possible values: HostTask: OpenMP tasks on CPU host [default]. HostNest: nested OpenMP parallel for loop on CPU host. HostBatch: batched BLAS on CPU host. Devices: batched BLAS on GPU device.