core/vnl/algo/vnl_determinant.h File Reference

calculates the determinant of a matrix More...

#include <vnl/vnl_matrix.h>
#include <vnl/vnl_matrix_fixed.h>

Go to the source code of this file.

Defines
#define	VNL_DETERMINANT_INSTANTIATE(T)   extern "you must include vnl/algo/vnl_determinant.txx first"
Functions
template<class T >
T	vnl_determinant (T const *row0, T const *row1)
	direct evaluation for 2x2 matrix.
template<class T >
T	vnl_determinant (T const *row0, T const *row1, T const *row2)
	direct evaluation for 3x3 matrix.
template<class T >
T	vnl_determinant (T const *row0, T const *row1, T const *row2, T const *row3)
	direct evaluation for 4x4 matrix.
int	vnl_determinant (vnl_matrix< int > const &M, bool balance=false)
template<class T >
T	vnl_determinant (vnl_matrix< T > const &M, bool balance=false)
	evaluation using direct methods for sizes of 2x2, 3x3, and 4x4 or qr decomposition for other matrices.
template<class T , unsigned m, unsigned n>
T	vnl_determinant (vnl_matrix_fixed< T, m, n > const &M, bool balance=false)
	evaluation using direct methods for sizes of 2x2, 3x3, and 4x4 or qr decomposition for other matrices.

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Detailed Description

calculates the determinant of a matrix

Author:

fsm

Evaluation of determinants of any size. For small matrices, will use the direct routines (no netlib) but for larger matrices, a matrix decomposition such as SVD or QR will be used.

    Modifications
     dac (Manchester) 26/03/2001: tidied up documentation
     Feb.2002 - Peter Vanroose - brief doxygen comment placed on single line
     Sep.2003 - Peter Vanroose - specialisation for int added
   

Definition in file vnl_determinant.h.

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Define Documentation

#define VNL_DETERMINANT_INSTANTIATE

(

T

)

extern "you must include vnl/algo/vnl_determinant.txx first"

Definition at line 60 of file vnl_determinant.h.

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Function Documentation

template<class T >

T vnl_determinant	(	T const *	row0,
		T const *	row1
	)

direct evaluation for 2x2 matrix.

Definition at line 13 of file vnl_determinant.txx.

template<class T >

T vnl_determinant	(	T const *	row0,
		T const *	row1,
		T const *	row2
	)

direct evaluation for 3x3 matrix.

Definition at line 19 of file vnl_determinant.txx.

template<class T >

T vnl_determinant	(	T const *	row0,
		T const *	row1,
		T const *	row2,
		T const *	row3
	)

direct evaluation for 4x4 matrix.

Definition at line 31 of file vnl_determinant.txx.

int vnl_determinant	(	vnl_matrix< int > const &	M,
		bool	balance = false
	)

Definition at line 4 of file vnl_determinant.cxx.

template<class T >

T vnl_determinant	(	vnl_matrix< T > const &	M,
		bool	balance = false
	)

evaluation using direct methods for sizes of 2x2, 3x3, and 4x4 or qr decomposition for other matrices.

Definition at line 63 of file vnl_determinant.txx.

template<class T , unsigned m, unsigned n>

T vnl_determinant	(	vnl_matrix_fixed< T, m, n > const &	M,
		bool	balance = false
	)		[inline]

evaluation using direct methods for sizes of 2x2, 3x3, and 4x4 or qr decomposition for other matrices.

convenience overload from vnl_matrix<T> variant

Definition at line 54 of file vnl_determinant.h.