Truncation of general matrices with impact on matrix triple multiply as error measure. More...

#include <truncation.h>

Inheritance diagram for mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >:

Public Member Functions
	EuclTruncationCongrTransMeasure (Tmatrix &A_, TmatrixB const &B_)
Public Member Functions inherited from mat::EuclTruncationGeneral< Tmatrix, Treal >
	EuclTruncationGeneral (Tmatrix &A_)
Public Member Functions inherited from mat::EuclTruncationBase< Tmatrix, Treal >
	EuclTruncationBase (Tmatrix &A_)
Treal	run (Treal const threshold)
virtual	~EuclTruncationBase ()

Protected Member Functions
virtual void	getFrobTruncBounds (Treal &lowTrunc, Treal &highTrunc, Treal const threshold)
virtual Interval< Treal >	euclIfSmall (Treal const absTol, Treal const threshold)
Protected Member Functions inherited from mat::EuclTruncationGeneral< Tmatrix, Treal >
virtual void	getFrobSqNorms (std::vector< Treal > &frobsq_norms)
virtual void	frobThreshLowLevel (Treal const threshold)

Protected Attributes
TmatrixB const &	B
Protected Attributes inherited from mat::EuclTruncationBase< Tmatrix, Treal >
Tmatrix &	A
Tmatrix	E

Detailed Description

template<typename Tmatrix, typename TmatrixB, typename Treal>
class mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >

Truncation of general matrices with impact on matrix triple multiply as error measure.

Truncation of a matrix A giving a truncated matrix At = A + E such that the norm of the congruently transformed error matrix ||E^T * B * E + E^T * B * A + A^T * B * E||_2 < threshold

Constructor & Destructor Documentation

◆ EuclTruncationCongrTransMeasure()

template<typename Tmatrix, typename TmatrixB, typename Treal>

mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::EuclTruncationCongrTransMeasure	(	Tmatrix &	A_,
		TmatrixB const &	B_ )

inline

References B, and mat::EuclTruncationGeneral< Tmatrix, Treal >::EuclTruncationGeneral().

Member Function Documentation

◆ euclIfSmall()

template<typename Tmatrix, typename TmatrixB, typename Treal>

Interval< Treal > mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::euclIfSmall	(	Treal const	absTol,
		Treal const	threshold )

protectedvirtual

Reimplemented from mat::EuclTruncationGeneral< Tmatrix, Treal >.

References mat::EuclTruncationBase< Tmatrix, Treal >::A, B, mat::EuclTruncationBase< Tmatrix, Treal >::E, mat::euclIfSmall(), mat::getMachineEpsilon(), mat::Interval< Treal >::length(), mat::Interval< Treal >::midPoint(), and template_blas_sqrt().

◆ getFrobTruncBounds()

template<typename Tmatrix, typename TmatrixB, typename Treal>

void mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::getFrobTruncBounds	(	Treal &	lowTrunc,
		Treal &	highTrunc,
		Treal const	threshold )