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gesv
Prototype

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

gesv( MatrixA& a, VectorIPIV& ipiv, MatrixB& b );

Description

gesv (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SGESV, DGESV, CGESV, and ZGESV. gesv computes the solution to a complex system of linear equations A * X = B, where A is an N-by-N matrix and X and B are N-by-NRHS matrices.

The LU decomposition with partial pivoting and row interchanges is used to factor A as A = P * L * U, where P is a permutation matrix, L is unit lower triangular, and U is upper triangular. 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.

Table 1.129. Dispatching of gesv

Value type of MatrixA

LAPACK routine

float

SGESV

double

DGESV

complex<float>

CGESV

complex<double>

ZGESV


Definition

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

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

this will output

[5] 0 1 2 3 4 5

Notes
See Also

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