Prototype

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

tbrfs( const int_t kd, const MatrixAB& ab, const MatrixB& b,
        const MatrixX& x, VectorFERR& ferr, VectorBERR& berr );

Description

tbrfs (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines STBRFS, DTBRFS, CTBRFS, and ZTBRFS. tbrfs provides error bounds and backward error estimates for the solution to a system of linear equations with a triangular band coefficient matrix.

The solution matrix X must be computed by ZTBTRS or some other means before entering this routine. tbrfs does not do iterative refinement because doing so cannot improve the backward error.

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

Definition

Defined in header boost/numeric/bindings/lapack/computational/tbrfs.hpp.

Parameters or Requirements on Types

Complexity

Example

#include <boost/numeric/bindings/lapack/computational/tbrfs.hpp>
using namespace boost::numeric::bindings;

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

this will output

[5] 0 1 2 3 4 5

Notes

See Also