Truncation of general matrices with impact on matrix triple multiply as error measure. More...
#include <truncation.h>
Public Member Functions | |
EuclTruncationCongrTransMeasure (Tmatrix &A_, TmatrixB const &B_) | |
Protected Member Functions | |
virtual void | getFrobTruncBounds (Treal &lowTrunc, Treal &highTrunc, Treal const threshold) |
virtual Interval< Treal > | euclIfSmall (Treal const absTol, Treal const threshold) |
Protected Attributes | |
TmatrixB const & | B |
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
mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::EuclTruncationCongrTransMeasure | ( | Tmatrix & | A_, | |
TmatrixB const & | B_ | |||
) | [inline] |
Interval< Treal > mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::euclIfSmall | ( | Treal const | absTol, | |
Treal const | threshold | |||
) | [inline, protected, virtual] |
Reimplemented from mat::EuclTruncationGeneral< Tmatrix, Treal >.
References mat::EuclTruncationBase< Tmatrix, Treal >::A, mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::B, mat::EuclTruncationBase< Tmatrix, Treal >::E, mat::Interval< Treal >::length(), mat::Interval< Treal >::midPoint(), and template_blas_sqrt().
void mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::getFrobTruncBounds | ( | Treal & | lowTrunc, | |
Treal & | highTrunc, | |||
Treal const | threshold | |||
) | [inline, protected, virtual] |
TmatrixB const& mat::EuclTruncationCongrTransMeasure< Tmatrix, TmatrixB, Treal >::B [protected] |