lines 7-39 of file: example/abs_normal/min_nso_linear.cpp

{xrst_begin min_nso_linear.cpp}

abs_normal min_nso_linear: Example and Test
###########################################

Purpose
*******
We minimize the function
:math:`f : \B{R}^3 \rightarrow \B{R}` defined by

.. math::
   :nowrap:

   \begin{eqnarray}
   f( x_0, x_1, x_2  ) & = & x_0^2 + 2 (x_0 + x_1)^2 + | x_2 |
   \end{eqnarray}

Discussion
**********
This routine uses :ref:`abs_min_linear-name` which uses :ref:`lp_box-name` ,
a linear programming algorithm.
It is mean to be compared with :ref:`min_nso_quad.cpp-name` which uses
a quadratic programing algorithm for the same problem.
To see this comparison, set *level*  = 1 is both examples.

Source
******
{xrst_literal
   // BEGIN C++
   // END C++
}

{xrst_end min_nso_linear.cpp}