Arcane::EigenValueAndVectorComputer Class Reference

Class to calculate the eigenvalues and eigenvectors of a matrix. More...

Collaboration diagram for Arcane::EigenValueAndVectorComputer:

Classes
struct	PowerResult
	Result of applying the power method. More...

Public Member Functions
void	computeForMatrix (const Real3x3 &orig_matrix)
	Calculates the eigenvalues and eigenvectors of orig_matrix.
Real3	eigenValues () const
	Returns the eigenvalues of the matrix in ascending order.
Real3x3	eigenVectors () const
	Returns the eigenvectors of the matrix in ascending order.

Static Private Member Functions
static void	_deflateMatrix (Real3x3 &matrix, double eigenvalue, Real3 eigenvector)
static PowerResult	_applyPowerIteration (const Real3x3 &matrix)

Private Attributes
Real3	m_eigen_values
	Eigenvalues.
Real3x3	m_eigen_vectors
	Eigenvectors.

Detailed Description

Class to calculate the eigenvalues and eigenvectors of a matrix.

The calculation is done using the power method. This is not the fastest or most robust method numerically, but we do not need high precision in the calculation of eigenvalues and eigenvectors. If needed, we could use the Jacobi algorithm or a QR method.

The eigenvalues are sorted in ascending order.

Note

Since the algorithm is iterative, it may happen that the order is not strictly increasing if two eigenvalues are close.

Definition at line 55 of file ArcaneGeometricMeshPartitionerService.cc.

Member Function Documentation

_applyPowerIteration()

PowerResult Arcane::EigenValueAndVectorComputer::_applyPowerIteration ( const Real3x3 & matrix )

inlinestaticprivate

Definition at line 111 of file ArcaneGeometricMeshPartitionerService.cc.

_deflateMatrix()

void Arcane::EigenValueAndVectorComputer::_deflateMatrix ( Real3x3 & matrix, double eigenvalue, Real3 eigenvector )

inlinestaticprivate

Definition at line 101 of file ArcaneGeometricMeshPartitionerService.cc.

computeForMatrix()

void Arcane::EigenValueAndVectorComputer::computeForMatrix ( const Real3x3 & orig_matrix )

inline

Calculates the eigenvalues and eigenvectors of orig_matrix.

Definition at line 71 of file ArcaneGeometricMeshPartitionerService.cc.

References m_eigen_values, and m_eigen_vectors.

eigenValues()

Real3 Arcane::EigenValueAndVectorComputer::eigenValues ( ) const

inline

Returns the eigenvalues of the matrix in ascending order.

Definition at line 94 of file ArcaneGeometricMeshPartitionerService.cc.

References m_eigen_values.

eigenVectors()

Real3x3 Arcane::EigenValueAndVectorComputer::eigenVectors ( ) const

inline

Returns the eigenvectors of the matrix in ascending order.

Definition at line 96 of file ArcaneGeometricMeshPartitionerService.cc.

References m_eigen_vectors.

Member Data Documentation

m_eigen_values

Real3 Arcane::EigenValueAndVectorComputer::m_eigen_values

private

Eigenvalues.

Definition at line 145 of file ArcaneGeometricMeshPartitionerService.cc.

Referenced by computeForMatrix(), and eigenValues().

m_eigen_vectors

Real3x3 Arcane::EigenValueAndVectorComputer::m_eigen_vectors

private

Eigenvectors.

Definition at line 148 of file ArcaneGeometricMeshPartitionerService.cc.

Referenced by computeForMatrix(), and eigenVectors().

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

• ArcaneGeometricMeshPartitionerService.cc