gtsv

Prototype

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

gtsv( const int_t n, VectorDL& dl, VectorD& d, VectorDU& du,
        MatrixB& b );

Description

gtsv (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SGTSV, DGTSV, CGTSV, and ZGTSV. gtsv solves the equation

A*X = B,

where A is an N-by-N tridiagonal matrix, by Gaussian elimination with partial pivoting.

Note that the equation A'*X = B may be solved by interchanging the order of the arguments DU and DL.

The selection of the LAPACK routine is done during compile-time, and is determined by the type of values contained in type VectorDL. The type of values is obtained through the value_type meta-function typename value_type<VectorDL>::type. The dispatching table below illustrates to which specific routine the code path will be generated.

Table 1.131. Dispatching of gtsv

Value type of VectorDL	LAPACK routine
`float`	SGTSV
`double`	DGTSV
`complex<float>`	CGTSV
`complex<double>`	ZGTSV

Definition

Defined in header boost/numeric/bindings/lapack/driver/gtsv.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/lapack/driver/gtsv.hpp>
using namespace boost::numeric::bindings;

lapack::gtsv( x, y, z );

this will output

[5] 0 1 2 3 4 5