Public Types
enum	{ Deg = _Deg, Deg_1 =decrement_if_fixed_size<Deg>::ret }

typedef _Scalar	Scalar

typedef NumTraits< Scalar >::Real	RealScalar

typedef Matrix< Scalar, Deg, 1 >	RightColumn

typedef Matrix< Scalar, Deg_1, 1 >	BottomLeftDiagonal

typedef Matrix< Scalar, Deg, Deg >	DenseCompanionMatrixType

typedef Matrix< Scalar, _Deg, Deg_1 >	LeftBlock

typedef Matrix< Scalar, Deg_1, Deg_1 >	BottomLeftBlock

typedef Matrix< Scalar, 1, Deg_1 >	LeftBlockFirstRow

typedef DenseIndex	Index

Public Member Functions
EIGEN_STRONG_INLINE const _Scalar	operator() (Index row, Index col) const

template<typename VectorType >
void	setPolynomial (const VectorType &poly)

template<typename VectorType >
	companion (const VectorType &poly)

DenseCompanionMatrixType	denseMatrix () const

void	balance ()
	Balancing algorithm from B. More...

Protected Member Functions
bool	balanced (Scalar colNorm, Scalar rowNorm, bool &isBalanced, Scalar &colB, Scalar &rowB)
	Helper function for the balancing algorithm. More...

bool	balancedR (Scalar colNorm, Scalar rowNorm, bool &isBalanced, Scalar &colB, Scalar &rowB)
	Helper function for the balancing algorithm. More...

Protected Attributes
RightColumn	m_monic

BottomLeftDiagonal	m_bl_diag

Member Function Documentation

§ balance()

template<typename _Scalar , int _Deg>

void Eigen::internal::companion< _Scalar, _Deg >::balance ( )

Balancing algorithm from B.

N. PARLETT and C. REINSCH (1969) "Balancing a matrix for calculation of eigenvalues and eigenvectors" adapted to the case of companion matrices. A matrix with non zero row and non zero column is balanced for a certain norm if the i-th row and the i-th column have same norm for all i.

§ balanced()

template<typename _Scalar , int _Deg>

bool Eigen::internal::companion< _Scalar, _Deg >::balanced	(	Scalar	colNorm,
		Scalar	rowNorm,
		bool &	isBalanced,
		Scalar &	colB,
		Scalar &	rowB
	)

inlineprotected

Helper function for the balancing algorithm.

Returns: true if the row and the column, having colNorm and rowNorm as norms, are balanced, false otherwise. colB and rowB are repectively the multipliers for the column and the row in order to balance them.

§ balancedR()

template<typename _Scalar , int _Deg>

bool Eigen::internal::companion< _Scalar, _Deg >::balancedR	(	Scalar	colNorm,
		Scalar	rowNorm,
		bool &	isBalanced,
		Scalar &	colB,
		Scalar &	rowB
	)

inlineprotected

Helper function for the balancing algorithm.

Returns: true if the row and the column, having colNorm and rowNorm as norms, are balanced, false otherwise. colB and rowB are repectively the multipliers for the column and the row in order to balance them.

Set the norm of the column and the row to the geometric mean of the row and column norm

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

vendor/eigen/unsupported/Eigen/src/Polynomials/Companion.h

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Member Function Documentation

§ balance()

§ balanced()

§ balancedR()