#include <Companion.h>
Public Types | |
enum | { Deg = _Deg, Deg_1 = decrement_if_fixed_size<Deg>::ret } |
typedef Matrix< Scalar, Deg_1, Deg_1 > | BottomLeftBlock |
typedef Matrix< Scalar, Deg_1, 1 > | BottomLeftDiagonal |
typedef Matrix< Scalar, Deg, Deg > | DenseCompanionMatrixType |
typedef DenseIndex | Index |
typedef Matrix< Scalar, _Deg, Deg_1 > | LeftBlock |
typedef Matrix< Scalar, 1, Deg_1 > | LeftBlockFirstRow |
typedef NumTraits< Scalar >::Real | RealScalar |
typedef Matrix< Scalar, Deg, 1 > | RightColumn |
typedef _Scalar | Scalar |
Public Member Functions | |
void | balance () |
template<typename VectorType > | |
companion (const VectorType &poly) | |
DenseCompanionMatrixType | denseMatrix () const |
EIGEN_STRONG_INLINE const _Scalar | operator() (Index row, Index col) const |
template<typename VectorType > | |
void | setPolynomial (const VectorType &poly) |
Protected Member Functions | |
bool | balanced (Scalar colNorm, Scalar rowNorm, bool &isBalanced, Scalar &colB, Scalar &rowB) |
bool | balancedR (Scalar colNorm, Scalar rowNorm, bool &isBalanced, Scalar &colB, Scalar &rowB) |
Protected Attributes | |
BottomLeftDiagonal | m_bl_diag |
RightColumn | m_monic |
Definition at line 52 of file Companion.h.
typedef Matrix< Scalar, Deg_1, Deg_1 > internal::companion< _Scalar, _Deg >::BottomLeftBlock |
Definition at line 70 of file Companion.h.
typedef Matrix<Scalar, Deg_1, 1> internal::companion< _Scalar, _Deg >::BottomLeftDiagonal |
Definition at line 66 of file Companion.h.
typedef Matrix<Scalar, Deg, Deg> internal::companion< _Scalar, _Deg >::DenseCompanionMatrixType |
Definition at line 68 of file Companion.h.
typedef DenseIndex internal::companion< _Scalar, _Deg >::Index |
Definition at line 73 of file Companion.h.
typedef Matrix< Scalar, _Deg, Deg_1 > internal::companion< _Scalar, _Deg >::LeftBlock |
Definition at line 69 of file Companion.h.
typedef Matrix< Scalar, 1, Deg_1 > internal::companion< _Scalar, _Deg >::LeftBlockFirstRow |
Definition at line 71 of file Companion.h.
typedef NumTraits<Scalar>::Real internal::companion< _Scalar, _Deg >::RealScalar |
Definition at line 63 of file Companion.h.
typedef Matrix<Scalar, Deg, 1> internal::companion< _Scalar, _Deg >::RightColumn |
Definition at line 64 of file Companion.h.
typedef _Scalar internal::companion< _Scalar, _Deg >::Scalar |
Definition at line 62 of file Companion.h.
anonymous enum |
Definition at line 57 of file Companion.h.
internal::companion< _Scalar, _Deg >::companion | ( | const VectorType & | poly | ) | [inline] |
Definition at line 97 of file Companion.h.
void 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.
Definition at line 224 of file Companion.h.
bool internal::companion< _Scalar, _Deg >::balanced | ( | Scalar | colNorm, |
Scalar | rowNorm, | ||
bool & | isBalanced, | ||
Scalar & | colB, | ||
Scalar & | rowB | ||
) | [inline, protected] |
Helper function for the balancing algorithm.
Definition at line 155 of file Companion.h.
bool internal::companion< _Scalar, _Deg >::balancedR | ( | Scalar | colNorm, |
Scalar | rowNorm, | ||
bool & | isBalanced, | ||
Scalar & | colB, | ||
Scalar & | rowB | ||
) | [inline, protected] |
Helper function for the balancing algorithm.
Set the norm of the column and the row to the geometric mean of the row and column norm
Definition at line 198 of file Companion.h.
DenseCompanionMatrixType internal::companion< _Scalar, _Deg >::denseMatrix | ( | ) | const [inline] |
Definition at line 101 of file Companion.h.
EIGEN_STRONG_INLINE const _Scalar internal::companion< _Scalar, _Deg >::operator() | ( | Index | row, |
Index | col | ||
) | const [inline] |
Definition at line 76 of file Companion.h.
void internal::companion< _Scalar, _Deg >::setPolynomial | ( | const VectorType & | poly | ) | [inline] |
Definition at line 88 of file Companion.h.
BottomLeftDiagonal internal::companion< _Scalar, _Deg >::m_bl_diag [protected] |
Definition at line 148 of file Companion.h.
RightColumn internal::companion< _Scalar, _Deg >::m_monic [protected] |
Definition at line 147 of file Companion.h.