core/vnl/algo/vnl_adjugate.h File Reference

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Functions
template<class T >
void	vnl_adjugate (vnl_matrix< T > const &A, vnl_matrix< T > *out)
template<class T >
vnl_matrix< T >	vnl_adjugate (vnl_matrix< T > const &A)

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Detailed Description

Author:

fsm and Peter Vanroose The adjoint matrix of a square matrix, sometimes also called the adjugate matrix (although that name is also used for the transpose of the complex conjugate), is defined as the matrix whose (i,k)-th entry is the cofactor of the (k,i)-th entry of the given matrix. The cofactor of entry (k,i) is the determinant of the matrix obtained by deleting row k and column i from the given matrix.

The adjugate matrix is useful in finding the inverse of a square matrix since det(A) * A_inverse = A_adj.

In contrast to the inverse matrix, however, calculating the adjoint matrix does not involve divisions, so the adjoint of an integer matrix is integer.

Definition in file vnl_adjugate.h.

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Function Documentation

template<class T >

void vnl_adjugate	(	vnl_matrix< T > const &	A,
		vnl_matrix< T > *	out
	)

Definition at line 22 of file vnl_adjugate.txx.

template<class T >

vnl_matrix<T> vnl_adjugate

(

vnl_matrix< T > const &

A

)

Definition at line 40 of file vnl_adjugate.txx.