\(\newcommand{\W}[1]{ \; #1 \; }\) \(\newcommand{\R}[1]{ {\rm #1} }\) \(\newcommand{\B}[1]{ {\bf #1} }\) \(\newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} }\) \(\newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} }\) \(\newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} }\) \(\newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }\)
det_33¶
View page sourceCheck Determinant of 3 by 3 matrix¶
Syntax¶
#
include <cppad/speed/det_33.hpp>
ok = det_33 ( x , d )
Purpose¶
This routine can be used to check a method for computing the determinant of a matrix.
Inclusion¶
The template function det_33 is defined in the CppAD
namespace by including
the file cppad/speed/det_33.hpp
(relative to the CppAD distribution directory).
x¶
The argument x has prototype
constVector & x
. It contains the elements of the matrix \(X\) in row major order; i.e.,
d¶
The argument d has prototype
constVector & d
. It is tested to see if d [0] it is equal to \(\det ( X )\).
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 .
(Note that only the first element of the vector d is used.)
ok¶
The return value ok has prototype
boolok
It is true, if the determinant d [0] passes the test and false otherwise.
Source Code¶
The file det_33.hpp contains the source code for this template function.