EigenSolver Class Template Reference
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List of all members.

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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

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 (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

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Member Function Documentation

EigenvalueType eigenvalues

(

)

const [inline]

Returns:

the eigenvalues as a column vector

EigenSolver< MatrixType >::EigenvectorType eigenvectors

(

void

)

const [inline]

Returns:

the normalized complex eigenvectors as a matrix of column vectors.

See also:

eigenvalues(), pseudoEigenvectors()

MatrixType pseudoEigenvalueMatrix

(

)

const [inline]

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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