##### getrf

###### Prototype

There is one prototype of `getrf` available, please see below.

    getrf( MatrixA& a, VectorIPIV& ipiv );

###### Description

`getrf` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SGETRF, DGETRF, CGETRF, and ZGETRF. `getrf` computes an LU factorization of a general M-by-N matrix A using partial pivoting with row interchanges.

The factorization has the form A = P * L * U where P is a permutation matrix, L is lower triangular with unit diagonal elements (lower trapezoidal if m > n), and U is upper triangular (upper trapezoidal if m < n).

This is the right-looking Level 3 BLAS version of the algorithm.

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 1.246. Dispatching of getrf

Value type of MatrixA | LAPACK routine
--- | ---
`float` | SGETRF
`double` | DGETRF
`complex<float>` | CGETRF
`complex<double>` | ZGETRF

###### Definition

Defined in header `boost/numeric/bindings/lapack/computational/getrf.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/computational/getrf.hpp>
    using namespace boost::numeric::bindings;

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files sgetrf.f, dgetrf.f, cgetrf.f, and zgetrf.f at Netlib.