tbsv

Prototype

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

tbsv( const int_t k, const MatrixA& a, VectorX& x );

Description

tbsv (short for triangular, banded, solve system of equations) provides a C++ interface to BLAS routines STBSV, DTBSV, CTBSV, and ZTBSV. tbsv solves one of the systems of equations

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

where b and x are n element vectors and A is an n by n unit, or non-unit, upper or lower triangular band matrix, with ( k + 1 ) diagonals.

No test for singularity or near-singularity is included in this routine. Such tests must be performed before calling this routine.

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 1.72. Dispatching of tbsv.

Value type of MatrixA	BLAS routine	CBLAS routine	CUBLAS routine
`float`	STBSV	cblas_stbsv	cublasStbsv
`double`	DTBSV	cblas_dtbsv	Unavailable
`complex<float>`	CTBSV	cblas_ctbsv	cublasCtbsv
`complex<double>`	ZTBSV	cblas_ztbsv	Unavailable

The original routines STBSV, DTBSV, CTBSV, and ZTBSV have nine arguments, whereas tbsv requires three arguments.

Table 1.73. Deduction of arguments of tbsv.

Definition

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

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

this will output

[5] 0 1 2 3 4 5