Spectra::Lanczos< Scalar, ArnoldiOpType > Class Template Reference

#include <Lanczos.h>

Inheritance diagram for Spectra::Lanczos< Scalar, ArnoldiOpType >:

Public Member Functions
void	compress_H (const TridiagQR< RealScalar > &decomp)
void	deflate_H (Index irr_size, const Scalar &s)
void	factorize_from (Index from_k, Index to_m, Index &op_counter) override
template<typename T >
	Lanczos (T &&op, Index m)
Public Member Functions inherited from Spectra::Arnoldi< Scalar, ArnoldiOpType >
	Arnoldi (ArnoldiOpType &&op, Index m)
	Arnoldi (const ArnoldiOpType &op, Index m)
void	compress_H (const DoubleShiftQR< Scalar > &decomp)
void	compress_H (const UpperHessenbergQR< Scalar > &decomp)
template<typename Derived >
void	compress_V (const Eigen::MatrixBase< Derived > &Q)
RealScalar	f_norm () const
void	init (MapConstVec &v0, Index &op_counter)
const Matrix &	matrix_H () const
const Matrix &	matrix_V () const
Index	subspace_dim () const
const Vector &	vector_f () const

Private Types
using	Index = Eigen::Index
using	MapConstMat = Eigen::Map< const Matrix >
using	MapMat = Eigen::Map< Matrix >
using	MapVec = Eigen::Map< Vector >
using	Matrix = Eigen::Matrix< Scalar, Eigen::Dynamic, Eigen::Dynamic >
using	RealMatrix = Eigen::Matrix< RealScalar, Eigen::Dynamic, Eigen::Dynamic >
using	RealScalar = typename Eigen::NumTraits< Scalar >::Real
using	Vector = Eigen::Matrix< Scalar, Eigen::Dynamic, 1 >

Additional Inherited Members
Protected Member Functions inherited from Spectra::Arnoldi< Scalar, ArnoldiOpType >
void	expand_basis (MapConstMat &V, const Index seed, Vector &f, RealScalar &fnorm, Index &op_counter)
Protected Attributes inherited from Spectra::Arnoldi< Scalar, ArnoldiOpType >
RealScalar	m_beta
const RealScalar	m_eps = TypeTraits<RealScalar>::epsilon()
Vector	m_fac_f
Matrix	m_fac_H
Matrix	m_fac_V
Index	m_k
const Index	m_m
const Index	m_n
const RealScalar	m_near_0 = TypeTraits<RealScalar>::min() * RealScalar(10)
ArnoldiOpType	m_op

Detailed Description

template<typename Scalar, typename ArnoldiOpType>
class Spectra::Lanczos< Scalar, ArnoldiOpType >

Definition at line 27 of file Lanczos.h.

Member Typedef Documentation

Index

template<typename Scalar , typename ArnoldiOpType >

using Spectra::Lanczos< Scalar, ArnoldiOpType >::Index = Eigen::Index

private

Definition at line 32 of file Lanczos.h.

MapConstMat

template<typename Scalar , typename ArnoldiOpType >

using Spectra::Lanczos< Scalar, ArnoldiOpType >::MapConstMat = Eigen::Map<const Matrix>

private

Definition at line 37 of file Lanczos.h.

MapMat

template<typename Scalar , typename ArnoldiOpType >

using Spectra::Lanczos< Scalar, ArnoldiOpType >::MapMat = Eigen::Map<Matrix>

private

Definition at line 35 of file Lanczos.h.

MapVec

template<typename Scalar , typename ArnoldiOpType >

using Spectra::Lanczos< Scalar, ArnoldiOpType >::MapVec = Eigen::Map<Vector>

private

Definition at line 36 of file Lanczos.h.

Matrix

template<typename Scalar , typename ArnoldiOpType >

using Spectra::Lanczos< Scalar, ArnoldiOpType >::Matrix = Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic>

private

Definition at line 33 of file Lanczos.h.

RealMatrix

template<typename Scalar , typename ArnoldiOpType >

using Spectra::Lanczos< Scalar, ArnoldiOpType >::RealMatrix = Eigen::Matrix<RealScalar, Eigen::Dynamic, Eigen::Dynamic>

private

Definition at line 38 of file Lanczos.h.

RealScalar

template<typename Scalar , typename ArnoldiOpType >

using Spectra::Lanczos< Scalar, ArnoldiOpType >::RealScalar = typename Eigen::NumTraits<Scalar>::Real

private

Definition at line 31 of file Lanczos.h.

Vector

template<typename Scalar , typename ArnoldiOpType >

using Spectra::Lanczos< Scalar, ArnoldiOpType >::Vector = Eigen::Matrix<Scalar, Eigen::Dynamic, 1>

private

Definition at line 34 of file Lanczos.h.

Constructor & Destructor Documentation

Lanczos()

template<typename Scalar , typename ArnoldiOpType >

template<typename T >

Spectra::Lanczos< Scalar, ArnoldiOpType >::Lanczos ( T &&  op, Index  m  )

inline

Definition at line 54 of file Lanczos.h.

Member Function Documentation

compress_H()

template<typename Scalar , typename ArnoldiOpType >

void Spectra::Lanczos< Scalar, ArnoldiOpType >::compress_H ( const TridiagQR< RealScalar > &  decomp )

inline

Definition at line 195 of file Lanczos.h.

deflate_H()

template<typename Scalar , typename ArnoldiOpType >

void Spectra::Lanczos< Scalar, ArnoldiOpType >::deflate_H ( Index  irr_size, const Scalar &  s  )

inline

Definition at line 209 of file Lanczos.h.

factorize_from()

template<typename Scalar , typename ArnoldiOpType >

void Spectra::Lanczos< Scalar, ArnoldiOpType >::factorize_from ( Index  from_k, Index  to_m, Index &  op_counter  )

inlineoverridevirtual

Reimplemented from Spectra::Arnoldi< Scalar, ArnoldiOpType >.

Definition at line 59 of file Lanczos.h.

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

• Lanczos.h