Prototype

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

posv( MatrixA& a, MatrixB& b );

Description

posv (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SPOSV, DPOSV, CPOSV, and ZPOSV. posv computes the solution to a complex system of linear equations A * X = B, where A is an N-by-N Hermitian positive definite matrix and X and B are N-by-NRHS matrices.

The Cholesky decomposition is used to factor A as A = U*H U, if UPLO = 'U', or A = L * L**H, if UPLO = 'L', where U is an upper triangular matrix and L is a lower triangular matrix. The factored form of A is then used to solve the system of equations A * X = B.

The selection of the LAPACK 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. The dispatching table below illustrates to which specific routine the code path will be generated.

Definition

Defined in header boost/numeric/bindings/lapack/driver/posv.hpp.

Parameters or Requirements on Types

Complexity

Example

#include <boost/numeric/bindings/lapack/driver/posv.hpp>
using namespace boost::numeric::bindings;

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

this will output

[5] 0 1 2 3 4 5

Notes

See Also