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mat::EuclTruncationSymmWithZ< Tmatrix, TmatrixZ, Treal > Class Template Reference

Truncation of symmetric matrices with Z. More...

#include <truncation.h>

Inheritance diagram for mat::EuclTruncationSymmWithZ< Tmatrix, TmatrixZ, Treal >:
mat::EuclTruncationSymm< Tmatrix, Treal > mat::EuclTruncationBase< Tmatrix, Treal >

Public Member Functions

 EuclTruncationSymmWithZ (Tmatrix &A_, TmatrixZ const &Z_)
Public Member Functions inherited from mat::EuclTruncationSymm< Tmatrix, Treal >
 EuclTruncationSymm (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::EuclTruncationSymm< Tmatrix, Treal >
virtual void getFrobSqNorms (std::vector< Treal > &frobsq_norms)
virtual void frobThreshLowLevel (Treal const threshold)

Protected Attributes

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

Detailed Description

template<typename Tmatrix, typename TmatrixZ, typename Treal>
class mat::EuclTruncationSymmWithZ< Tmatrix, TmatrixZ, Treal >

Truncation of symmetric matrices with Z.

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

Constructor & Destructor Documentation

◆ EuclTruncationSymmWithZ()

template<typename Tmatrix, typename TmatrixZ, typename Treal>
mat::EuclTruncationSymmWithZ< Tmatrix, TmatrixZ, Treal >::EuclTruncationSymmWithZ ( Tmatrix & A_,
TmatrixZ const & Z_ )
inline

References mat::EuclTruncationSymm< Tmatrix, Treal >::EuclTruncationSymm(), and Z.

Member Function Documentation

◆ euclIfSmall()

template<typename Tmatrix, typename TmatrixZ, typename Treal>
Interval< Treal > mat::EuclTruncationSymmWithZ< Tmatrix, TmatrixZ, Treal >::euclIfSmall ( Treal const absTol,
Treal const threshold )
protectedvirtual

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

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

◆ getFrobTruncBounds()

template<typename Tmatrix, typename TmatrixZ, typename Treal>
void mat::EuclTruncationSymmWithZ< Tmatrix, TmatrixZ, Treal >::getFrobTruncBounds ( Treal & lowTrunc,
Treal & highTrunc,
Treal const threshold )
protectedvirtual

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

References template_blas_get_num_limit_max(), and Z.

Member Data Documentation

◆ Z

template<typename Tmatrix, typename TmatrixZ, typename Treal>
TmatrixZ const& mat::EuclTruncationSymmWithZ< Tmatrix, TmatrixZ, Treal >::Z
protected

Referenced by euclIfSmall(), EuclTruncationSymmWithZ(), and getFrobTruncBounds().

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