===================================
Solving Systems of Linear Equations                               [TOC]
===================================

In this example we will solve a system of linear equations $Ax=b$.  For this
purpose we first compute the $LU$ factorization of $A$ with __lapack::trf__
and then use the triangular solver __lapack::trs__ to finish the job.

:links: __lapack::trf__ -> file:flens/lapack/ge/trf.h
        __lapack::trs__ -> file:flens/lapack/ge/trs.h


Example Code
============
:import: flens/examples/lapack-getrs.cc [stripped, downloadable]

Comments on Example Code
========================
:import: flens/examples/lapack-getrs.cc

Compile
=======

 *--[SHELL]-----------------------------------------------------------------*
 |                                                                          |
 |  cd flens/examples                                                       |
 |  g++ -std=c++11 -Wall -I../.. -o lapack-getrs lapack-getrs.cc            |
 |                                                                          |
 *--------------------------------------------------------------------------*

Run
===

 *--[SHELL]-----------------------------------------------------------------*
 |                                                                          |
 |  cd flens/examples                                                       |
 |  ./lapack-getrs                                                          |
 |                                                                          |
 *--------------------------------------------------------------------------*


Example with Complex Numbers
============================

Example Code
------------
:import: flens/examples/lapack-complex-getrs.cc [stripped, downloadable]

Comments on Example Code
------------------------
:import: flens/examples/lapack-complex-getrs.cc

Compile
-------

 *--[SHELL]-----------------------------------------------------------------*
 |                                                                          |
 |  cd flens/examples                                                       |
 |  g++ -std=c++11 -Wall -I../.. -o lapack-complex-getrs                 +++|
 |                                  lapack-complex-getrs.cc                 |
 |                                                                          |
 *--------------------------------------------------------------------------*

Run
---

 *--[SHELL]-----------------------------------------------------------------*
 |                                                                          |
 |  cd flens/examples                                                       |
 |  ./lapack-complex-getrs                                                  |
 |                                                                          |
 *--------------------------------------------------------------------------*