JAMMA::Eigenvalue Class Reference

Public Member Functions
	Eigenvalue (float A[3][3])
	Check for symmetry, then construct the eigenvalue decomposition. More...
void	getV (float V_[3][3])
	Return the eigenvector matrix. More...
void	getRealEigenvalues (float d_[3])
	Return the real parts of the eigenvalues. More...
void	getImagEigenvalues (float e_[3])
	Return the imaginary parts of the eigenvalues in parameter e_. More...
void	getD (float D[3][3])
	Computes the block diagonal eigenvalue matrix. More...

Constructor & Destructor Documentation

JAMMA::Eigenvalue::Eigenvalue ( float  A[3][3] )

inline

Check for symmetry, then construct the eigenvalue decomposition.

Parameters

A	Square real (non-complex) matrix

Member Function Documentation

void JAMMA::Eigenvalue::getD ( float  D[3][3] )

inline

Computes the block diagonal eigenvalue matrix.

If the original matrix A is not symmetric, then the eigenvalue matrix D is block diagonal with the real eigenvalues in 1-by-1 blocks and any complex eigenvalues, a + i*b, in 2-by-2 blocks, [a, b; -b, a]. That is, if the complex eigenvalues look like

          u + iv     .        .          .      .    .
            .      u - iv     .          .      .    .
            .        .      a + ib       .      .    .
            .        .        .        a - ib   .    .
            .        .        .          .      x    .
            .        .        .          .      .    y

then D looks like

            u        v        .          .      .    .
           -v        u        .          .      .    . 
            .        .        a          b      .    .
            .        .       -b          a      .    .
            .        .        .          .      x    .
            .        .        .          .      .    y

This keeps V a real matrix in both symmetric and non-symmetric cases, and A*V = V*D.

@param D: upon return, the matrix is filled with the block diagonal 
eigenvalue matrix.

void JAMMA::Eigenvalue::getImagEigenvalues ( float  e_[3] )

inline

Return the imaginary parts of the eigenvalues in parameter e_.

e_: new matrix with imaginary parts of the eigenvalues.

void JAMMA::Eigenvalue::getRealEigenvalues ( float  d_[3] )

inline

Return the real parts of the eigenvalues.

Returns

real(diag(D))

void JAMMA::Eigenvalue::getV ( float  V_[3][3] )

inline

Return the eigenvector matrix.

Returns

V

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The documentation for this class was generated from the following file:

• jama_eig.h