lines 8-62 of file: cpp/include/cmpad/algo/det_by_minor.hpp

{xrst_begin_parent cpp_det_by_minor}

C++ Determinant Using Expansion by Minors
#########################################

{xrst_template ,
   cpp/include/cmpad/algo/template.xrst
   $algo_name$      , det_by_minor
   $obj_name$       , det
   $********$       , ***
}

ell
***
see :ref:`det_by_minor@ell` .

n_arg
*****
see :ref:`det_by_minor@option@n_arg` .

n_other
*******
see :ref:`det_by_minor@option@n_other` .

x
*
The argument *x* has size *n_arg* = :math:`\ell * \ell` .
The elements of the matrix :math:`A(x)` is defined as follows:
for :math:`i = 0 , \ldots , \ell-1` and :math:`j = 0 , \ldots , \ell-1`, by

.. math::

   A(x)_{i,j} = x[ i * \ell + j]

y
*
The return value *y* has size :math:`m = 1` and its element
is equal to the determinant of :math:`A(x)`.

{xrst_toc_hidden after
   cpp/include/cmpad/algo/det_of_minor.hpp
   cpp/xam/det_by_minor.cpp
}

Example
*******
The file
:ref:`xam_det_by_minor.cpp-name`
contains an example and test of ``det_by_minor`` .

Source Code
***********
:ref:`det_by_minor.hpp-name` displays the source code for this algorithm.

{xrst_end cpp_det_by_minor}