This is a eigen solver based on the Rayleigh quotient iteration algorithm. More...

#include <rayleigh_quotient_iteration_eigenvalue_solver.h>

Inheritance diagram for Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >:

Collaboration diagram for Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >:

Public Member Functions
Life Cycle
	RayleighQuotientIterationEigenvalueSolver ()
	Default constructor. More...

	RayleighQuotientIterationEigenvalueSolver (double NewMaxTolerance, unsigned int NewMaxIterationsNumber, unsigned int NewRequiredEigenvalueNumber, typename TLinearSolverType::Pointer pLinearSolver, double ShiftingConvergence=0.25)
	The "manual" settings constructor. More...

	RayleighQuotientIterationEigenvalueSolver (Parameters ThisParameters, typename TLinearSolverType::Pointer pLinearSolver)
	The parameters constructor. More...

	RayleighQuotientIterationEigenvalueSolver (const RayleighQuotientIterationEigenvalueSolver &Other)
	Copy constructor. More...

virtual	~RayleighQuotientIterationEigenvalueSolver ()
	Destructor. More...

Operators
RayleighQuotientIterationEigenvalueSolver &	operator= (const RayleighQuotientIterationEigenvalueSolver &Other)
	Assignment operator. More...

Input and output
std::string	Info () const override
	Turn back information as a string. More...

void	PrintInfo (std::ostream &rOStream) const override
	Print information about this object. More...

void	PrintData (std::ostream &rOStream) const override
	Print object's data. More...

Public Member Functions inherited from Kratos::IterativeSolver< TSparseSpaceType, TDenseSpaceType, Preconditioner< TSparseSpaceType, TDenseSpaceType >, Reorderer< TSparseSpaceType, TDenseSpaceType > >
	IterativeSolver ()
	Default constructor. More...

	IterativeSolver (double NewTolerance)

	IterativeSolver (double NewTolerance, unsigned int NewMaxIterationsNumber)

	IterativeSolver (double NewTolerance, unsigned int NewMaxIterationsNumber, typename TPreconditionerType::Pointer pNewPreconditioner)

	IterativeSolver (Parameters settings, typename TPreconditionerType::Pointer pNewPreconditioner=Kratos::make_shared< Preconditioner< TSparseSpaceType, TDenseSpaceType > >())

	IterativeSolver (const IterativeSolver &Other)
	Copy constructor. More...

	~IterativeSolver () override
	Destructor. More...

IterativeSolver &	operator= (const IterativeSolver &Other)
	Assignment operator. More...

void	InitializeSolutionStep (SparseMatrixType &rA, VectorType &rX, VectorType &rB) override

void	FinalizeSolutionStep (SparseMatrixType &rA, VectorType &rX, VectorType &rB) override

void	Clear () override

bool	AdditionalPhysicalDataIsNeeded () override

void	ProvideAdditionalData (SparseMatrixType &rA, VectorType &rX, VectorType &rB, typename ModelPart::DofsArrayType &rdof_set, ModelPart &r_model_part) override

virtual TPreconditionerType::Pointer	GetPreconditioner (void)

virtual const TPreconditionerType::Pointer	GetPreconditioner (void) const

virtual void	SetPreconditioner (typename TPreconditionerType::Pointer pNewPreconditioner)

virtual void	SetMaxIterationsNumber (unsigned int NewMaxIterationsNumber)

virtual IndexType	GetMaxIterationsNumber ()

virtual void	SetIterationsNumber (unsigned int NewIterationNumber)

IndexType	GetIterationsNumber () override

void	SetTolerance (double NewTolerance) override
	This method allows to set the tolerance in the linear solver. More...

double	GetTolerance () override
	This method allows to get the tolerance in the linear solver. More...

virtual void	SetResidualNorm (double NewResidualNorm)

virtual double	GetResidualNorm ()

virtual bool	IterationNeeded ()

virtual bool	IsConverged ()

std::string	Info () const override
	Turn back information as a string. More...

void	PrintInfo (std::ostream &rOStream) const override
	Print information about this object. More...

void	PrintData (std::ostream &rOStream) const override
	Print object's data. More...

	KRATOS_CLASS_POINTER_DEFINITION (IterativeSolver)
	Pointer definition of IterativeSolver. More...

Public Member Functions inherited from Kratos::LinearSolver< TSparseSpaceType, TDenseSpaceType, Reorderer< TSparseSpaceType, TDenseSpaceType > >
	LinearSolver ()
	Default constructor. More...

	LinearSolver (Reorderer< TSparseSpaceType, TDenseSpaceType > NewReorderer)
	Constructor with specific reorderer. More...

	LinearSolver (const LinearSolver &Other)
	Copy constructor. More...

virtual	~LinearSolver ()
	Destructor. More...

LinearSolver &	operator= (const LinearSolver &Other)
	Assignment operator. More...

virtual void	Initialize (SparseMatrixType &rA, VectorType &rX, VectorType &rB)

virtual void	PerformSolutionStep (SparseMatrixType &rA, VectorType &rX, VectorType &rB)

virtual bool	Solve (SparseMatrixType &rA, VectorType &rX, VectorType &rB)

virtual bool	Solve (SparseMatrixType &rA, DenseMatrixType &rX, DenseMatrixType &rB)

virtual TReordererType::Pointer	GetReorderer ()

virtual void	SetReorderer (typename TReordererType::Pointer pNewReorderer)

virtual bool	IsConsistent (SparseMatrixType &rA, VectorType &rX, VectorType &rB)
	This method checks if the dimensions of the system of equations are consistent. More...

virtual bool	IsConsistent (SparseMatrixType &rA, DenseMatrixType &rX, DenseMatrixType &rB)
	This method checks if the dimensions of the system of equations are consistent (dense matrix for RHS and unknowns version) More...

virtual bool	IsNotConsistent (SparseMatrixType &rA, VectorType &rX, VectorType &rB)
	This method checks if the dimensions of the system of equations are not consistent. More...

virtual bool	IsNotConsistent (SparseMatrixType &rA, DenseMatrixType &rX, DenseMatrixType &rB)
	This method checks if the dimensions of the system of equations are not consistent. More...

	KRATOS_CLASS_POINTER_DEFINITION (LinearSolver)
	Pointer definition of LinearSolver. More...

Type Definitions
typedef IterativeSolver< TSparseSpaceType, TDenseSpaceType, TPreconditionerType, TReordererType >	BaseType
	The base class definition. More...

typedef TSparseSpaceType::MatrixType	SparseMatrixType
	The sparse matrix defintion. More...

typedef TSparseSpaceType::VectorType	VectorType
	The vector definition ("sparse") More...

typedef TDenseSpaceType::MatrixType	DenseMatrixType
	The dense matrix definition. More...

typedef TDenseSpaceType::VectorType	DenseVectorType
	The "dense" vector definition. More...

typedef std::size_t	SizeType
	The size type definiton. More...

typedef std::size_t	IndexType
	The index type definition. More...

	KRATOS_CLASS_POINTER_DEFINITION (RayleighQuotientIterationEigenvalueSolver)
	Pointer definition of RayleighQuotientIterationEigenvalueSolver. More...

Operations
SizeType	SturmSequenceCheck (SparseMatrixType &ShiftedK)
	This method performs a Sturm Sequence Check. More...

void	Solve (SparseMatrixType &K, SparseMatrixType &M, DenseVectorType &Eigenvalues, DenseMatrixType &Eigenvectors) override
	The Rayleigh quotient iteration method. More...

static void	InitializeSystem (VectorType &rR, const SparseMatrixType &rM)
	This method initializes the system. More...

Additional Inherited Members
Public Types inherited from Kratos::IterativeSolver< TSparseSpaceType, TDenseSpaceType, Preconditioner< TSparseSpaceType, TDenseSpaceType >, Reorderer< TSparseSpaceType, TDenseSpaceType > >
typedef LinearSolver< TSparseSpaceType, TDenseSpaceType, Reorderer< TSparseSpaceType, TDenseSpaceType > >	BaseType

typedef TSparseSpaceType::MatrixType	SparseMatrixType

typedef TSparseSpaceType::VectorType	VectorType

typedef TDenseSpaceType::MatrixType	DenseMatrixType

typedef Preconditioner< TSparseSpaceType, TDenseSpaceType >	PreconditionerType

typedef TSparseSpaceType::IndexType	IndexType
	The index type definition to be consistent. More...

Public Types inherited from Kratos::LinearSolver< TSparseSpaceType, TDenseSpaceType, Reorderer< TSparseSpaceType, TDenseSpaceType > >
typedef TSparseSpaceType::MatrixType	SparseMatrixType

typedef TSparseSpaceType::MatrixPointerType	SparseMatrixPointerType

typedef TSparseSpaceType::VectorType	VectorType

typedef TSparseSpaceType::VectorPointerType	VectorPointerType

typedef TDenseSpaceType::MatrixType	DenseMatrixType

typedef TDenseSpaceType::VectorType	DenseVectorType

typedef std::size_t	SizeType

typedef TSparseSpaceType::IndexType	IndexType
	The index type definition to be consistent. More...

Protected Member Functions inherited from Kratos::IterativeSolver< TSparseSpaceType, TDenseSpaceType, Preconditioner< TSparseSpaceType, TDenseSpaceType >, Reorderer< TSparseSpaceType, TDenseSpaceType > >
void	PreconditionedMult (SparseMatrixType &rA, VectorType &rX, VectorType &rY)

void	PreconditionedTransposeMult (SparseMatrixType &rA, VectorType &rX, VectorType &rY)

Protected Attributes inherited from Kratos::IterativeSolver< TSparseSpaceType, TDenseSpaceType, Preconditioner< TSparseSpaceType, TDenseSpaceType >, Reorderer< TSparseSpaceType, TDenseSpaceType > >
double	mResidualNorm

double	mFirstResidualNorm

IndexType	mIterationsNumber

double	mBNorm

Detailed Description

template<class TSparseSpaceType, class TDenseSpaceType, class TLinearSolverType, class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>
class Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >

This is a eigen solver based on the Rayleigh quotient iteration algorithm.

Rayleigh quotient iteration is an iterative method, that is, it delivers a sequence of approximate solutions that converges to a true solution in the limit (this is true for all algorithms that compute eigenvalues: since eigenvalues can be irrational numbers, there can be no general method for computing them in a finite number of steps). Very rapid convergence is guaranteed and no more than a few iterations are needed in practice to obtain a reasonable approximation. The Rayleigh quotient iteration algorithm converges cubically for Hermitian or symmetric matrices, given an initial vector that is sufficiently close to an eigenvector of the matrix that is being analyzed.

See also: https://en.wikipedia.org/wiki/Rayleigh_quotient_iteration

Author: Pooyan Dadvand

Member Typedef Documentation

◆ BaseType

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

typedef IterativeSolver<TSparseSpaceType, TDenseSpaceType, TPreconditionerType, TReordererType> Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::BaseType

The base class definition.

◆ DenseMatrixType

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

typedef TDenseSpaceType::MatrixType Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::DenseMatrixType

The dense matrix definition.

◆ DenseVectorType

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

typedef TDenseSpaceType::VectorType Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::DenseVectorType

The "dense" vector definition.

◆ IndexType

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

typedef std::size_t Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::IndexType

The index type definition.

◆ SizeType

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

typedef std::size_t Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::SizeType

The size type definiton.

◆ SparseMatrixType

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

typedef TSparseSpaceType::MatrixType Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::SparseMatrixType

The sparse matrix defintion.

◆ VectorType

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

typedef TSparseSpaceType::VectorType Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::VectorType

The vector definition ("sparse")

Constructor & Destructor Documentation

◆ RayleighQuotientIterationEigenvalueSolver() [1/4]

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::RayleighQuotientIterationEigenvalueSolver ( )

inline

Default constructor.

◆ RayleighQuotientIterationEigenvalueSolver() [2/4]

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::RayleighQuotientIterationEigenvalueSolver	(	double	NewMaxTolerance,
		unsigned int	NewMaxIterationsNumber,
		unsigned int	NewRequiredEigenvalueNumber,
		typename TLinearSolverType::Pointer	pLinearSolver,
		double	ShiftingConvergence = `0.25`
	)

inline

The "manual" settings constructor.

Parameters

NewMaxTolerance	The tolerance considered
NewMaxIterationsNumber	The maximum number of iterations considered
NewRequiredEigenvalueNumber	The number of eigen values to compute
ShiftingConvergence	The convergence parameter of shifting

◆ RayleighQuotientIterationEigenvalueSolver() [3/4]

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::RayleighQuotientIterationEigenvalueSolver	(	Parameters	ThisParameters,
		typename TLinearSolverType::Pointer	pLinearSolver
	)

inline

The parameters constructor.

Parameters

ThisParameters	The input parameters
pLinearSolver	The linear solver considered

◆ RayleighQuotientIterationEigenvalueSolver() [4/4]

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::RayleighQuotientIterationEigenvalueSolver ( const RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType > & Other )

inline

Copy constructor.

◆ ~RayleighQuotientIterationEigenvalueSolver()

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

virtual Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::~RayleighQuotientIterationEigenvalueSolver ( )

inlinevirtual

Destructor.

Member Function Documentation

◆ Info()

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

std::string Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::Info ( ) const

inlineoverridevirtual

Turn back information as a string.

Reimplemented from Kratos::LinearSolver< TSparseSpaceType, TDenseSpaceType, Reorderer< TSparseSpaceType, TDenseSpaceType > >.

◆ InitializeSystem()

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

static void Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::InitializeSystem	(	VectorType &	rR,
		const SparseMatrixType &	rM
	)

inlinestatic

This method initializes the system.

It computes the vector R, which contains the components of the diagonal of the M matrix

Parameters

rR	The vector containing the normalized components of the diagonal
rM	The "mass" matrix

◆ KRATOS_CLASS_POINTER_DEFINITION()

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::KRATOS_CLASS_POINTER_DEFINITION ( RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType > )

Pointer definition of RayleighQuotientIterationEigenvalueSolver.

◆ operator=()

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

RayleighQuotientIterationEigenvalueSolver& Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::operator= ( const RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType > & Other )

inline

Assignment operator.

◆ PrintData()

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

void Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::PrintData ( std::ostream & rOStream ) const

inlineoverridevirtual

Print object's data.

Reimplemented from Kratos::LinearSolver< TSparseSpaceType, TDenseSpaceType, Reorderer< TSparseSpaceType, TDenseSpaceType > >.

◆ PrintInfo()

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

void Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::PrintInfo ( std::ostream & rOStream ) const

inlineoverridevirtual

Print information about this object.

Reimplemented from Kratos::LinearSolver< TSparseSpaceType, TDenseSpaceType, Reorderer< TSparseSpaceType, TDenseSpaceType > >.

◆ Solve()

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

void Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::Solve	(	SparseMatrixType &	K,
		SparseMatrixType &	M,
		DenseVectorType &	Eigenvalues,
		DenseMatrixType &	Eigenvectors
	)

inlineoverridevirtual

The Rayleigh quotient iteration method.

Parameters

K	The stiffness matrix
M	The mass matrix
Eigenvalues	The vector containing the eigen values
Eigenvectors	The matrix containing the eigen vectors

Reimplemented from Kratos::LinearSolver< TSparseSpaceType, TDenseSpaceType, Reorderer< TSparseSpaceType, TDenseSpaceType > >.

◆ SturmSequenceCheck()

template<class TSparseSpaceType , class TDenseSpaceType , class TLinearSolverType , class TPreconditionerType = Preconditioner<TSparseSpaceType, TDenseSpaceType>, class TReordererType = Reorderer<TSparseSpaceType, TDenseSpaceType>>

SizeType Kratos::RayleighQuotientIterationEigenvalueSolver< TSparseSpaceType, TDenseSpaceType, TLinearSolverType, TPreconditionerType, TReordererType >::SturmSequenceCheck ( SparseMatrixType & ShiftedK )

inline

This method performs a Sturm Sequence Check.

Parameters

ShiftedK The modified K matrix after apply the M matrix

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

/home/runner/work/Documentation/Documentation/master/kratos/linear_solvers/rayleigh_quotient_iteration_eigenvalue_solver.h

Public Member Functions

Type Definitions

Operations

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ BaseType

◆ DenseMatrixType

◆ DenseVectorType

◆ IndexType

◆ SizeType

◆ SparseMatrixType

◆ VectorType

Constructor & Destructor Documentation

◆ RayleighQuotientIterationEigenvalueSolver() [1/4]

◆ RayleighQuotientIterationEigenvalueSolver() [2/4]

◆ RayleighQuotientIterationEigenvalueSolver() [3/4]

◆ RayleighQuotientIterationEigenvalueSolver() [4/4]

◆ ~RayleighQuotientIterationEigenvalueSolver()

Member Function Documentation

◆ Info()

◆ InitializeSystem()

◆ KRATOS_CLASS_POINTER_DEFINITION()

◆ operator=()

◆ PrintData()

◆ PrintInfo()

◆ Solve()

◆ SturmSequenceCheck()