Linear Algebra for 3x3 Matrices

Linear algebra for 3x3 matrix operations. More...

Functions
bool	fsb::mat3_posdef_symmetric_eigenvalues (const Mat3Sym &mat, Vec3 &eigenvalues)
	Compute eigenvalues of a 3x3 symmetric positive definite matrix.
bool	fsb::mat3_posdef_symmetric_eigenvectors (const Mat3Sym &mat_in, Vec3 &eigenvalues, Vec3 &eig_vec0, Vec3 &eig_vec1, Vec3 &eig_vec2)
	Compute eigenvalues and eigenvectors of a 3x3 symmetric positive definite matrix.

Detailed Description

Linear algebra for 3x3 matrix operations.

Function Documentation

mat3_posdef_symmetric_eigenvalues()

bool fsb::mat3_posdef_symmetric_eigenvalues	(	const Mat3Sym &	mat,
		Vec3 &	eigenvalues
	)

Compute eigenvalues of a 3x3 symmetric positive definite matrix.

Parameters

[in]	mat	Input symmetric matrix
[out]	eigenvalues	Eigenvalues of input matrix

Returns

true if matrix is positive definite. Eigenvalues computed successfully.

false if matrix is not positive definite. Eigenvalues are not set.

mat3_posdef_symmetric_eigenvectors()

bool fsb::mat3_posdef_symmetric_eigenvectors	(	const Mat3Sym &	mat_in,
		Vec3 &	eigenvalues,
		Vec3 &	eig_vec0,
		Vec3 &	eig_vec1,
		Vec3 &	eig_vec2
	)

Compute eigenvalues and eigenvectors of a 3x3 symmetric positive definite matrix.

Eigen values are ordered with smallest value at x component of output vector, largest at z and middle value at y

Parameters

[in]	mat_in	Input matrix
[out]	eigenvalues	Eigenvalues of input matrix
[out]	eig_vec0	Eigenvector of input matrix corresponding to eigenvalue x
[out]	eig_vec1	Eigenvector of input matrix corresponding to eigenvalue y
[out]	eig_vec2	Eigenvector of input matrix corresponding to eigenvalue z

Returns

true if matrix is positive definite. Eigen values and vectors computed successfully.

false if matrix is not positive definite. Eigenvalues and vectors are not set.