vnl_determinant.h File Reference

calculates the determinant of a matrix More...

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

Go to the source code of this file.

Macros
#define	VNL_DETERMINANT_INSTANTIATE(T)   extern "you must include vnl/algo/vnl_determinant.hxx first"

Functions
template<class T >
T	vnl_determinant (T const *row0, T const *row1)
	direct evaluation for 2x2 matrix. More...
template<class T >
T	vnl_determinant (T const *row0, T const *row1, T const *row2)
	direct evaluation for 3x3 matrix. More...
template<class T >
T	vnl_determinant (T const *row0, T const *row1, T const *row2, T const *row3)
	direct evaluation for 4x4 matrix. More...
int VNL_ALGO_EXPORT	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. More...
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. More...

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.

Macro Definition Documentation

VNL_DETERMINANT_INSTANTIATE

#define VNL_DETERMINANT_INSTANTIATE

(

T

)

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

Definition at line 61 of file vnl_determinant.h.

Function Documentation

vnl_determinant() [1/6]

template<class T >

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

direct evaluation for 2x2 matrix.

Definition at line 16 of file vnl_determinant.hxx.

vnl_determinant() [2/6]

template<class T >

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

direct evaluation for 3x3 matrix.

Definition at line 22 of file vnl_determinant.hxx.

vnl_determinant() [3/6]

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 34 of file vnl_determinant.hxx.

vnl_determinant() [4/6]

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

Definition at line 4 of file vnl_determinant.cxx.

vnl_determinant() [5/6]

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 66 of file vnl_determinant.hxx.

vnl_determinant() [6/6]

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 55 of file vnl_determinant.h.