EigenSolver< _MatrixType > Class Template Reference

Eigen values/vectors solver for non selfadjoint matrices. More...

Public Types
typedef std::complex< RealScalar >	Complex
typedef Matrix< Complex, MatrixType::ColsAtCompileTime, 1 >	EigenvalueType
typedef Matrix< Complex, MatrixType::RowsAtCompileTime, MatrixType::ColsAtCompileTime >	EigenvectorType
typedef _MatrixType	MatrixType
typedef NumTraits< Scalar >::Real	RealScalar
typedef Matrix< RealScalar, MatrixType::ColsAtCompileTime, 1 >	RealVectorType
typedef Matrix< RealScalar, Dynamic, 1 >	RealVectorTypeX
typedef MatrixType::Scalar	Scalar

Public Member Functions
void	compute (const MatrixType &matrix)
	EigenSolver ()
	Default Constructor. More...
	EigenSolver (const MatrixType &matrix)
EigenvalueType	eigenvalues () const
EigenvectorType	eigenvectors (void) const
MatrixType	pseudoEigenvalueMatrix () const
const MatrixType &	pseudoEigenvectors () const

Protected Attributes
EigenvalueType	m_eivalues
MatrixType	m_eivec
bool	m_isInitialized

Detailed Description

template<typename _MatrixType>
class Eigen::EigenSolver< _MatrixType >

Eigen values/vectors solver for non selfadjoint matrices.

Warning

This is not considered to be part of the stable public API yet. Changes may happen in future releases. See Experimental parts of Eigen

Parameters

MatrixType

the type of the matrix of which we are computing the eigen decomposition

Currently it only support real matrices.

Note

this code was adapted from JAMA (public domain)

See Also

MatrixBase::eigenvalues(), SelfAdjointEigenSolver

Constructor & Destructor Documentation

EigenSolver ( )

inline

Default Constructor.

The default constructor is useful in cases in which the user intends to perform decompositions via EigenSolver::compute(const MatrixType&).

Member Function Documentation

EigenvalueType eigenvalues ( ) const

inline

Returns

the eigenvalues as a column vector

EigenSolver< MatrixType >::EigenvectorType eigenvectors

(

void

)

const

Returns

the normalized complex eigenvectors as a matrix of column vectors.

See Also

eigenvalues(), pseudoEigenvectors()

MatrixType pseudoEigenvalueMatrix

(

)

const

Returns

the real block diagonal matrix D of the eigenvalues.

See pseudoEigenvectors() for the details.

const MatrixType& pseudoEigenvectors ( ) const

inline

Returns

a real matrix V of pseudo eigenvectors.

Let D be the block diagonal matrix with the real eigenvalues in 1x1 blocks, and any complex values u+iv in 2x2 blocks [u v ; -v u]. Then, the matrices D and V satisfy A*V = V*D.

More precisely, if the diagonal matrix of the eigen values is:

then, we have:

See Also

pseudoEigenvalueMatrix()

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

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