Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace > Class Template Reference

This utility uses the FEAST solver to obtain (estimate) the the condition number of a regular matrix. More...

#include <feast_condition_number_utility.h>

Collaboration diagram for Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >:

Static Public Member Functions
Operations
static double	GetConditionNumber (const SparseMatrixType &InputMatrix)
	Computes the condition number using the maximum and minimum eigenvalue of the system (in moduli) More...

Type Definitions
typedef std::size_t	SizeType
	Indexes. More...
typedef std::size_t	IndexType
typedef TSparseSpace::MatrixType	SparseMatrixType
	Sparse space. More...
typedef TSparseSpace::VectorType	SparseVectorType
typedef TDenseSpace::MatrixType	DenseMatrixType
	Dense space. More...
typedef TDenseSpace::VectorType	DenseVectorType
	KRATOS_CLASS_POINTER_DEFINITION (FEASTConditionNumberUtility)
	Definition of the shared pointer of the class. More...

Detailed Description

template<class TSparseSpace = UblasSpace<double, CompressedMatrix, Vector>, class TDenseSpace = UblasSpace<double, Matrix, Vector>>
class Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >

This utility uses the FEAST solver to obtain (estimate) the the condition number of a regular matrix.

Regular matrix: A*A^H=A^H*A

Member Typedef Documentation

DenseMatrixType

template<class TSparseSpace = UblasSpace<double, CompressedMatrix, Vector>, class TDenseSpace = UblasSpace<double, Matrix, Vector>>

typedef TDenseSpace::MatrixType Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >::DenseMatrixType

Dense space.

DenseVectorType

template<class TSparseSpace = UblasSpace<double, CompressedMatrix, Vector>, class TDenseSpace = UblasSpace<double, Matrix, Vector>>

typedef TDenseSpace::VectorType Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >::DenseVectorType

IndexType

template<class TSparseSpace = UblasSpace<double, CompressedMatrix, Vector>, class TDenseSpace = UblasSpace<double, Matrix, Vector>>

typedef std::size_t Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >::IndexType

SizeType

template<class TSparseSpace = UblasSpace<double, CompressedMatrix, Vector>, class TDenseSpace = UblasSpace<double, Matrix, Vector>>

typedef std::size_t Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >::SizeType

Indexes.

SparseMatrixType

template<class TSparseSpace = UblasSpace<double, CompressedMatrix, Vector>, class TDenseSpace = UblasSpace<double, Matrix, Vector>>

typedef TSparseSpace::MatrixType Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >::SparseMatrixType

Sparse space.

SparseVectorType

template<class TSparseSpace = UblasSpace<double, CompressedMatrix, Vector>, class TDenseSpace = UblasSpace<double, Matrix, Vector>>

typedef TSparseSpace::VectorType Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >::SparseVectorType

Member Function Documentation

GetConditionNumber()

template<class TSparseSpace = UblasSpace<double, CompressedMatrix, Vector>, class TDenseSpace = UblasSpace<double, Matrix, Vector>>

static double Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >::GetConditionNumber ( const SparseMatrixType &  InputMatrix )

inlinestatic

Computes the condition number using the maximum and minimum eigenvalue of the system (in moduli)

Parameters

InputMatrix	The matrix to obtain the condition number
pLinearSolver	The complex linear solver considered in the FEAST solver

Returns

condition_number: The condition number obtained

KRATOS_CLASS_POINTER_DEFINITION()

template<class TSparseSpace = UblasSpace<double, CompressedMatrix, Vector>, class TDenseSpace = UblasSpace<double, Matrix, Vector>>

Kratos::FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >::KRATOS_CLASS_POINTER_DEFINITION

(

FEASTConditionNumberUtility< TSparseSpace, TDenseSpace >

)

Definition of the shared pointer of the class.

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

• /home/runner/work/Documentation/Documentation/master/applications/LinearSolversApplication/custom_utilities/feast_condition_number_utility.h