@(@\newcommand{\W}[1]{ \; #1 \; }
\newcommand{\R}[1]{ {\rm #1} }
\newcommand{\B}[1]{ {\bf #1} }
\newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} }
\newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} }
\newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} }
\newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }@)@
This is cppad-20221105 documentation. Here is a link to its
current documentation
.
Check Gradient of Determinant of 3 by 3 matrix
Syntax # include <cppad/speed/det_grad_33.hpp> ok = det_grad_33(x, g)
Purpose
This routine can be used to check a method for computing the
gradient of the determinant of a matrix.
Inclusion
The template function det_grad_33 is defined in the CppAD
namespace by including
the file cppad/speed/det_grad_33.hpp
(relative to the CppAD distribution directory).
x
The argument
x
has prototype
const Vector &x
.
It contains the elements of the matrix @(@
X
@)@ in row major order; i.e.,
@[@
X_{i,j} = x [ i * 3 + j ]
@]@
g
The argument
g
has prototype
const Vector &g
.
It contains the elements of the gradient of
@(@
\det ( X )
@)@ in row major order; i.e.,
@[@
\D{\det (X)}{X(i,j)} = g [ i * 3 + j ]
@]@
Vector
If
y
is a
Vector
object,
it must support the syntax
y[i]
where
i
has type size_t with value less than 9.
This must return a double value corresponding to the i-th
element of the vector
y
.
This is the only requirement of the type
Vector
.
ok
The return value
ok
has prototype
bool ok
It is true, if the gradient
g
passes the test and false otherwise.
Source Code
The file
det_grad_33.hpp
contains the source code for this template function.
Input File: include/cppad/speed/det_grad_33.hpp
