MatrixInfo< BCRSMatrix > Class Template Reference

Class template which yields information related to a square matrix like its spectral (i.e. 2-norm) condition number. More...

#include <dune/istl/eigenvalue/test/matrixinfo.hh>

Public Types
typedef BCRSMatrix::field_type	Real
	Type of the underlying field of the matrix.

Public Member Functions
	MatrixInfo (const BCRSMatrix &m, const bool verbose=false, const unsigned int arppp_a_verbosity_level=0, const unsigned int pia_verbosity_level=0)
	Construct from required parameters. More...
Real	getCond2 (const bool assume_symmetric=true) const
	return spectral (i.e. 2-norm) condition number of the matrix

Protected Member Functions
Real	computeSymCond2 () const
Real	computeNonSymCond2 () const

Static Protected Attributes
static const int	bvBlockSize = BCRSMatrix::block_type::rows

Detailed Description

template<typename BCRSMatrix>
class MatrixInfo< BCRSMatrix >

Class template which yields information related to a square matrix like its spectral (i.e. 2-norm) condition number.

Todo:

The current implementation is limited to DUNE-ISTL BCRSMatrix types with blocklevel 2. An extension to blocklevel >= 2 might be provided in a future version.

Template Parameters

BCRSMatrix

Type of a DUNE-ISTL BCRSMatrix whose properties shall be considered; is assumed to have blocklevel 2 with square blocks.

Author

Sebastian Westerheide.

Constructor & Destructor Documentation

MatrixInfo()

template<typename BCRSMatrix >

MatrixInfo< BCRSMatrix >::MatrixInfo ( const BCRSMatrix &  m, const bool  verbose = false, const unsigned int  arppp_a_verbosity_level = 0, const unsigned int  pia_verbosity_level = 0  )

inline

Construct from required parameters.

Parameters

[in]	m	The DUNE-ISTL BCRSMatrix whose properties shall be considered; is assumed to be square.
[in]	verbose	Verbosity setting.
[in]	arppp_a_verbosity_level	Verbosity setting of the underlying ARPACK++ algorithms.
[in]	pia_verbosity_level	Verbosity setting of the underlying power iteration based algorithms.

References DUNE_THROW.

Member Function Documentation

computeNonSymCond2()

template<typename BCRSMatrix >

Real MatrixInfo< BCRSMatrix >::computeNonSymCond2 ( ) const

inlineprotected

compute spectral (i.e. 2-norm) condition number of the matrix, without assuming that it is symmetric

References DUNE_THROW, Dune::block_vector_unmanaged< B, A >::infinity_norm(), and Dune::transposeMatMultMat().

Referenced by MatrixInfo< BCRSMatrix >::getCond2().

computeSymCond2()

template<typename BCRSMatrix >

Real MatrixInfo< BCRSMatrix >::computeSymCond2 ( ) const

inlineprotected

compute spectral (i.e. 2-norm) condition number of the matrix, while assuming that it is symmetric such that its largest/smallest magnitude eigenvalue can be used instead of its largest/smallest singular value to compute the spectral condition number

References DUNE_THROW.

Referenced by MatrixInfo< BCRSMatrix >::getCond2().

Member Data Documentation

bvBlockSize

template<typename BCRSMatrix >

const int MatrixInfo< BCRSMatrix >::bvBlockSize = BCRSMatrix::block_type::rows

staticprotected

Type of block vectors compatible with the rows of a BCRSMatrix object and its columns

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

• dune/istl/eigenvalue/test/matrixinfo.hh