tpmv

Prototype

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

tpmv( const MatrixAP& ap, VectorX& x );

Description

tpmv (short for triangular, packed, matrix-vector operation) provides a C++ interface to BLAS routines STPMV, DTPMV, CTPMV, and ZTPMV. tpmv 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, supplied in packed form.

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

Table 1.74. Dispatching of tpmv.

Value type of MatrixAP	BLAS routine	CBLAS routine	CUBLAS routine
`float`	STPMV	cblas_stpmv	cublasStpmv
`double`	DTPMV	cblas_dtpmv	Unavailable
`complex<float>`	CTPMV	cblas_ctpmv	cublasCtpmv
`complex<double>`	ZTPMV	cblas_ztpmv	Unavailable

The original routines STPMV, DTPMV, CTPMV, and ZTPMV have seven arguments, whereas tpmv requires two arguments.

Table 1.75. Deduction of arguments of tpmv.

Definition

Defined in header boost/numeric/bindings/blas/level2/tpmv.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/tpmv.hpp>
using namespace boost::numeric::bindings;

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

this will output

[5] 0 1 2 3 4 5