#include <itkSymmetricEigenAnalysis.h>

Detailed Description

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>
class itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >

Find Eigen values of a real 2D symmetric matrix. It serves as a thread-safe alternative to the class: vnl_symmetric_eigensystem, which uses netlib routines.

The class is templated over the input matrix (which is expected to provide access to its elements with the [][] operator), matrix to store eigen values (must provide write operations on its elements with the [] operator), and EigenMatrix to store eigen vectors (must provide write access to its elements with the [][] operator).

The SetOrderEigenValues() method can be used to order eigen values (and their corresponding eigen vectors if computed) in ascending order. This is the default ordering scheme. Eigen vectors and values can be obtained without ordering by calling SetOrderEigenValues(false).

The SetOrderEigenMagnitudes() method can be used to order eigen values (and their corresponding eigen vectors if computed) by magnitude in ascending order.

The user of this class is explicitly supposed to set the dimension of the 2D matrix using the SetDimension() method.

The class contains routines taken from netlib sources (www.netlib.org). netlib/tql1.c netlib/tql2.c netlib/tred1.c netlib/tred2.c

For algorithmic descriptions see [13] and [14].

See also: SymmetricEigenDecomposition, a single-shot stored eigendecomposition (construct once, read V / D) that is the Eigen-backed drop-in for vnl_symmetric_eigensystem. Prefer this configurable solver object for high-throughput fixed-size tensor work.

Definition at line 207 of file itkSymmetricEigenAnalysis.h.

Public Types
using	EigenMatrixType = TEigenMatrix

using	EigenValueOrderEnum = itk::EigenValueOrderEnum

using	MatrixType = TMatrix

using	VectorType = TVector

Public Member Functions
unsigned int	ComputeEigenValues (const TMatrix &A, TVector &D) const

unsigned int	ComputeEigenValuesAndVectors (const TMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors) const

unsigned int	GetDimension () const

unsigned int	GetOrder () const

void	SetDimension (const unsigned int n)

void	SetOrder (const unsigned int n)

	SymmetricEigenAnalysis ()=default

	SymmetricEigenAnalysis (const unsigned int dimension)

	~SymmetricEigenAnalysis ()=default


void	SetOrderEigenValues (const bool b)

bool	GetOrderEigenValues () const


void	SetOrderEigenMagnitudes (const bool b)

bool	GetOrderEigenMagnitudes () const


void	SetUseEigenLibrary (const bool input)

void	SetUseEigenLibraryOn ()

void	SetUseEigenLibraryOff ()

bool	GetUseEigenLibrary () const

Private Member Functions
unsigned int	ComputeEigenValuesAndVectorsLegacy (const TMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors) const

unsigned int	ComputeEigenValuesAndVectorsUsingQL (double d, double e, double *z) const

unsigned int	ComputeEigenValuesAndVectorsWithEigenLibrary (const TMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors) const

template<typename QMatrix>
auto	ComputeEigenValuesAndVectorsWithEigenLibraryImpl (const QMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors, bool) const -> decltype(GetPointerToMatrixData(A), 1U)

template<typename QMatrix>
auto	ComputeEigenValuesAndVectorsWithEigenLibraryImpl (const QMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors, long) const -> decltype(1U)

unsigned int	ComputeEigenValuesLegacy (const TMatrix &A, TVector &D) const

unsigned int	ComputeEigenValuesUsingQL (double d, double e) const

unsigned int	ComputeEigenValuesWithEigenLibrary (const TMatrix &A, TVector &EigenValues) const

template<typename QMatrix>
auto	ComputeEigenValuesWithEigenLibraryImpl (const QMatrix &A, TVector &EigenValues, bool) const -> decltype(GetPointerToMatrixData(A), 1U)

template<typename QMatrix>
auto	ComputeEigenValuesWithEigenLibraryImpl (const QMatrix &A, TVector &EigenValues, long) const -> decltype(1U)

template<typename QMatrix = TMatrix>
auto	GetMatrixValueType (...) const -> typename QMatrix::ValueType

template<typename QMatrix = TMatrix>
auto	GetMatrixValueType (bool) const -> typename QMatrix::element_type

void	ReduceToTridiagonalMatrix (double a, double d, double e, double e2) const

void	ReduceToTridiagonalMatrixAndGetTransformation (const double a, double d, double e, double z) const

Private Attributes
unsigned int	m_Dimension { 0 }

unsigned int	m_Order { 0 }

EigenValueOrderEnum	m_OrderEigenValues { EigenValueOrderEnum::OrderByValue }

bool	m_UseEigenLibrary { false }

Member Typedef Documentation

◆ EigenMatrixType

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

using itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::EigenMatrixType = TEigenMatrix

Definition at line 226 of file itkSymmetricEigenAnalysis.h.

◆ EigenValueOrderEnum

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

using itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::EigenValueOrderEnum = itk::EigenValueOrderEnum

Definition at line 210 of file itkSymmetricEigenAnalysis.h.

◆ MatrixType

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

using itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::MatrixType = TMatrix

Definition at line 225 of file itkSymmetricEigenAnalysis.h.

◆ VectorType

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

using itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::VectorType = TVector

Definition at line 227 of file itkSymmetricEigenAnalysis.h.

Constructor & Destructor Documentation

◆ SymmetricEigenAnalysis() [1/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SymmetricEigenAnalysis ( )

default

◆ SymmetricEigenAnalysis() [2/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SymmetricEigenAnalysis ( const unsigned int dimension )

inline

Definition at line 218 of file itkSymmetricEigenAnalysis.h.

◆ ~SymmetricEigenAnalysis()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::~SymmetricEigenAnalysis ( )

default

Member Function Documentation

◆ ComputeEigenValues()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValues	(	const TMatrix &	A,
		TVector &	D ) const

Compute Eigen values of A A is any type that overloads the [][] operator and contains the symmetric matrix. In practice only the upper triangle of the matrix will be accessed. (Both itk::Matrix and vnl_matrix overload [][] operator.)

'EigenValues' is any type that overloads the [][] operator and will contain the eigen values.

No size checking is performed. A is expected to be a square matrix of size m_Dimension. 'EigenValues' is expected to be of length m_Dimension. The matrix is not checked to see if it is symmetric.

◆ ComputeEigenValuesAndVectors()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectors	(	const TMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors ) const

Compute Eigen values and vectors of A A is any type that overloads the [][] operator and contains the symmetric matrix. In practice only the upper triangle of the matrix will be accessed. (Both itk::Matrix and vnl_matrix overload [][] operator.)

'EigenValues' is any type that overloads the [] operator and will contain the eigen values.

'EigenVectors' is any type that provides access to its elements with the [][] operator. It is expected be of size m_Dimension * m_Dimension.

No size checking is performed. A is expected to be a square matrix of size m_Dimension. 'EigenValues' is expected to be of length m_Dimension. The matrix is not checked to see if it is symmetric.

Each row of the matrix 'EigenVectors' represents an eigen vector. (unlike MATLAB where the columns of the [EigenVectors, EigenValues] = eig(A) contains the eigenvectors).

◆ ComputeEigenValuesAndVectorsLegacy()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsLegacy	(	const TMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors ) const

private

◆ ComputeEigenValuesAndVectorsUsingQL()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsUsingQL	(	double *	d,
		double *	e,
		double *	z ) const

private

Finds the eigenvalues and eigenvectors of a symmetric tridiagonal matrix by the ql method.

On input: 'd' contains the diagonal elements of the input matrix. 'e' contains the subdiagonal elements of the input matrix in its last n-1 positions. e(1) is arbitrary. 'z' contains the transformation matrix produced in the reduction by ReduceToTridiagonalMatrixAndGetTransformation(), if performed. If the eigenvectors of the tridiagonal matrix are desired, z must contain the identity matrix.

On Output: 'd' contains the eigenvalues. 'e' has been destroyed. 'z' contains orthonormal eigenvectors of the symmetric tridiagonal (or full) matrix.

Returns: zero for normal return, j if the j-th eigenvalue has not been determined after 1000 iterations.

Reference This subroutine is a translation of the algol procedure tql1, [13] and [14].

Questions and comments should be directed to Burton s. Garbow, Mathematics and Computer Science Div., Argonne National Laboratory. This version dated august 1983.

Function Adapted from netlib/tql2.c. [Changed: remove static vars, enforce const correctness. Use vnl routines as necessary]

◆ ComputeEigenValuesAndVectorsWithEigenLibrary()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsWithEigenLibrary	(	const TMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors ) const

inlineprivate

Definition at line 532 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesAndVectorsWithEigenLibraryImpl() [1/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix>

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsWithEigenLibraryImpl	(	const QMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors,
		bool	) const -> decltype(GetPointerToMatrixData(A), 1U)

inlineprivate

Definition at line 613 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesAndVectorsWithEigenLibraryImpl() [2/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix>

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsWithEigenLibraryImpl	(	const QMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors,
		long	) const -> decltype(1U)

inlineprivate

Definition at line 547 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesLegacy()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesLegacy	(	const TMatrix &	A,
		TVector &	D ) const

private

◆ ComputeEigenValuesUsingQL()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesUsingQL	(	double *	d,
		double *	e ) const

private

Finds the eigenvalues of a symmetric tridiagonal matrix by the ql method.

On input: 'd' contains the diagonal elements of the input matrix. 'e' contains the subdiagonal elements of the input matrix in its last n-1 positions. e(1) is arbitrary. On Output: 'd' contains the eigenvalues. 'e' has been destroyed.

Returns: zero for normal return, j if the j-th eigenvalue has not been determined after 30 iterations.

Reference This subroutine is a translation of the algol procedure tql1, [13] and [14].

Questions and comments should be directed to Burton s. Garbow, Mathematics and Computer Science Div., Argonne National Laboratory. This version dated august 1983.

Function Adapted from netlib/tql1.c. [Changed: remove static vars, enforce const correctness. Use vnl routines as necessary]

◆ ComputeEigenValuesWithEigenLibrary()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesWithEigenLibrary	(	const TMatrix &	A,
		TVector &	EigenValues ) const

inlineprivate

Definition at line 664 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesWithEigenLibraryImpl() [1/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix>

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesWithEigenLibraryImpl	(	const QMatrix &	A,
		TVector &	EigenValues,
		bool	) const -> decltype(GetPointerToMatrixData(A), 1U)

inlineprivate

Definition at line 716 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesWithEigenLibraryImpl() [2/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix>

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesWithEigenLibraryImpl	(	const QMatrix &	A,
		TVector &	EigenValues,
		long	) const -> decltype(1U)

inlineprivate

Definition at line 677 of file itkSymmetricEigenAnalysis.h.

◆ GetDimension()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetDimension ( ) const

inlinenodiscard

Get Matrix dimension, Will be 0 unless explicitly set by a call to SetDimension.

Definition at line 348 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::operator<<().

◆ GetMatrixValueType() [1/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix = TMatrix>

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetMatrixValueType ( ... ) const -> typename QMatrix::ValueType

inlineprivate

Definition at line 525 of file itkSymmetricEigenAnalysis.h.

◆ GetMatrixValueType() [2/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix = TMatrix>

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetMatrixValueType ( bool ) const -> typename QMatrix::element_type

inlinenodiscardprivate

Definition at line 519 of file itkSymmetricEigenAnalysis.h.

◆ GetOrder()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetOrder ( ) const

inlinenodiscard

Get the Matrix order. Will be 0 unless explicitly set, or unless a call to SetDimension has been made in which case it will be the matrix dimension.

Definition at line 280 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::operator<<().

◆ GetOrderEigenMagnitudes()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

bool itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetOrderEigenMagnitudes ( ) const

inlinenodiscard

Set/Get methods to order the eigen value magnitudes in ascending order. In other words, |lambda_1| < |lambda_2| < .....

Definition at line 327 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::operator<<().

◆ GetOrderEigenValues()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

bool itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetOrderEigenValues ( ) const

inlinenodiscard

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 303 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::operator<<().

◆ GetUseEigenLibrary()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

bool itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetUseEigenLibrary ( ) const

inlinenodiscard

Set/Get to use Eigen library instead of vnl/netlib.

Definition at line 371 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::operator<<().

◆ ReduceToTridiagonalMatrix()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ReduceToTridiagonalMatrix	(	double *	a,
		double *	d,
		double *	e,
		double *	e2 ) const

private

Reduces a real symmetric matrix to a symmetric tridiagonal matrix using orthogonal similarity transformations. 'inputMatrix' contains the real symmetric input matrix. Only the lower triangle of the matrix need be supplied. The upper triangle is unaltered. 'd' contains the diagonal elements of the tridiagonal matrix. 'e' contains the subdiagonal elements of the tridiagonal matrix in its last n-1 positions. e(1) is set to zero. 'e2' contains the squares of the corresponding elements of e. 'e2' may coincide with e if the squares are not needed. questions and comments should be directed to burton s. garbow. mathematics and computer science div, argonne national laboratory this version dated august 1983.

Function adapted from netlib/tred1.c. [Changed: remove static vars, enforce const correctness. Use vnl routines as necessary]. For algorithmic descriptions see [76] and [77].

◆ ReduceToTridiagonalMatrixAndGetTransformation()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ReduceToTridiagonalMatrixAndGetTransformation	(	const double *	a,
		double *	d,
		double *	e,
		double *	z ) const

private

Reduces a real symmetric matrix to a symmetric tridiagonal matrix using and accumulating orthogonal similarity transformations. 'inputMatrix' contains the real symmetric input matrix. Only the lower triangle of the matrix need be supplied. The upper triangle is unaltered. 'diagonalElements' will contains the diagonal elements of the tridiagonal matrix. 'subDiagonalElements' will contain the subdiagonal elements of the tridiagonal matrix in its last n-1 positions. subDiagonalElements(1) is set to zero. 'transformMatrix' contains the orthogonal transformation matrix produced in the reduction.

Questions and comments should be directed to Burton s. Garbow, Mathematics and Computer Science Div., Argonne National Laboratory. This version dated august 1983.

Function adapted from netlib/tred2.c. [Changed: remove static vars, enforce const correctness. Use vnl routines as necessary]. For algorithmic descriptions see [76] and [77].

◆ SetDimension()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetDimension ( const unsigned int n )

inline

Set the dimension of the input matrix A. A is a square matrix of size m_Dimension.

Definition at line 336 of file itkSymmetricEigenAnalysis.h.

◆ SetOrder()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetOrder ( const unsigned int n )

inline

Matrix order. Defaults to matrix dimension if not set

Definition at line 271 of file itkSymmetricEigenAnalysis.h.

◆ SetOrderEigenMagnitudes()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetOrderEigenMagnitudes ( const bool b )

inline

Set/Get methods to order the eigen value magnitudes in ascending order. In other words, |lambda_1| < |lambda_2| < .....

Definition at line 314 of file itkSymmetricEigenAnalysis.h.

◆ SetOrderEigenValues()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetOrderEigenValues ( const bool b )

inline

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 290 of file itkSymmetricEigenAnalysis.h.

◆ SetUseEigenLibrary()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetUseEigenLibrary ( const bool input )

inline

Set/Get to use Eigen library instead of vnl/netlib.

Definition at line 356 of file itkSymmetricEigenAnalysis.h.

◆ SetUseEigenLibraryOff()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetUseEigenLibraryOff ( )

inline

Set/Get to use Eigen library instead of vnl/netlib.

Definition at line 366 of file itkSymmetricEigenAnalysis.h.

◆ SetUseEigenLibraryOn()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetUseEigenLibraryOn ( )

inline

Set/Get to use Eigen library instead of vnl/netlib.

Definition at line 361 of file itkSymmetricEigenAnalysis.h.

Member Data Documentation

◆ m_Dimension

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::m_Dimension { 0 }

private

Definition at line 378 of file itkSymmetricEigenAnalysis.h.

◆ m_Order

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::m_Order { 0 }

private

Definition at line 379 of file itkSymmetricEigenAnalysis.h.

◆ m_OrderEigenValues

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

EigenValueOrderEnum itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::m_OrderEigenValues { EigenValueOrderEnum::OrderByValue }

private

Definition at line 380 of file itkSymmetricEigenAnalysis.h.

◆ m_UseEigenLibrary

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

bool itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::m_UseEigenLibrary { false }

private

Definition at line 377 of file itkSymmetricEigenAnalysis.h.

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

itkSymmetricEigenAnalysis.h

Detailed Description

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Member Typedef Documentation

◆ EigenMatrixType

◆ EigenValueOrderEnum

◆ MatrixType

◆ VectorType

Constructor & Destructor Documentation

◆ SymmetricEigenAnalysis() [1/2]

◆ SymmetricEigenAnalysis() [2/2]

◆ ~SymmetricEigenAnalysis()

Member Function Documentation

◆ ComputeEigenValues()

◆ ComputeEigenValuesAndVectors()

◆ ComputeEigenValuesAndVectorsLegacy()

◆ ComputeEigenValuesAndVectorsUsingQL()

◆ ComputeEigenValuesAndVectorsWithEigenLibrary()

◆ ComputeEigenValuesAndVectorsWithEigenLibraryImpl() [1/2]

◆ ComputeEigenValuesAndVectorsWithEigenLibraryImpl() [2/2]

◆ ComputeEigenValuesLegacy()

◆ ComputeEigenValuesUsingQL()

◆ ComputeEigenValuesWithEigenLibrary()

◆ ComputeEigenValuesWithEigenLibraryImpl() [1/2]

◆ ComputeEigenValuesWithEigenLibraryImpl() [2/2]

◆ GetDimension()

◆ GetMatrixValueType() [1/2]

◆ GetMatrixValueType() [2/2]

◆ GetOrder()

◆ GetOrderEigenMagnitudes()

◆ GetOrderEigenValues()

◆ GetUseEigenLibrary()

◆ ReduceToTridiagonalMatrix()

◆ ReduceToTridiagonalMatrixAndGetTransformation()

◆ SetDimension()

◆ SetOrder()

◆ SetOrderEigenMagnitudes()

◆ SetOrderEigenValues()

◆ SetUseEigenLibrary()

◆ SetUseEigenLibraryOff()

◆ SetUseEigenLibraryOn()

Member Data Documentation

◆ m_Dimension

◆ m_Order

◆ m_OrderEigenValues

◆ m_UseEigenLibrary