trmv

Prototype

There is one prototype of trmv available, please see below.

trmv( const MatrixA& a, VectorX& x );

Description

trmv (short for triangular matrix-vector operation) provides a C++ interface to BLAS routines STRMV, DTRMV, CTRMV, and ZTRMV. trmv performs one of the matrix-vector operations

x := A*x, or x := A'*x, or x := conjg( A' )*x,

where x is an n element vector and A is an n by n unit, or non-unit, upper or lower triangular matrix.

The selection of the BLAS routine is done during compile-time, and is determined by the type of values contained in type MatrixA. The type of values is obtained through the value_type meta-function typename value_type<MatrixA>::type. Table X below illustrates to which specific routine this dispatching will take place.

Table 1.78. Dispatching of trmv.

Value type of MatrixA	BLAS routine	CBLAS routine	CUBLAS routine
`float`	STRMV	cblas_strmv	cublasStrmv
`double`	DTRMV	cblas_dtrmv	Unavailable
`complex<float>`	CTRMV	cblas_ctrmv	Unavailable
`complex<double>`	ZTRMV	cblas_ztrmv	Unavailable

The original routines STRMV, DTRMV, CTRMV, and ZTRMV have eight arguments, whereas trmv requires two arguments.

Table 1.79. Deduction of arguments of trmv.

Definition

Defined in header boost/numeric/bindings/blas/level2/trmv.hpp.

Parameters or Requirements on Types

Parameters

MatrixA

The definition of term 1

MatrixB

The definition of term 2

MatrixC

The definition of term 3.

Definitions may contain paragraphs.

Complexity

Example

#include <boost/numeric/bindings/blas/level2/trmv.hpp>
using namespace boost::numeric::bindings;

blas::trmv( x, y, z );

this will output

[5] 0 1 2 3 4 5