Dune::IdentityMatrix< K, N > Class Template Reference

Read-only identity matrix. More...

#include <dune/common/identitymatrix.hh>

Public Types
typedef K	field_type
	field type
typedef std::size_t	size_type
	size type

Public Member Functions
constexpr size_type	rows () const
	return number of rows
constexpr size_type	cols () const
	return number of columns
template<class X , class Y >
void	mv (const X &x, Y &y) const
	y = A x More...
template<class X , class Y >
void	mtv (const X &x, Y &y) const
	y = A^T x More...
template<class X , class Y >
void	umv (const X &x, Y &y) const
	y += A x More...
template<class X , class Y >
void	umtv (const X &x, Y &y) const
	y += A^T x More...
template<class X , class Y >
void	umhv (const X &x, Y &y) const
	y += A^H x More...
template<class X , class Y >
void	mmv (const X &x, Y &y) const
	y -= A x More...
template<class X , class Y >
void	mmtv (const X &x, Y &y) const
	y -= A^T x More...
template<class X , class Y >
void	mmhv (const X &x, Y &y) const
	y -= A^H x More...
template<class X , class Y >
void	usmv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
	y += alpha A x More...
template<class X , class Y >
void	usmtv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
	y += alpha A^T x More...
template<class X , class Y >
void	usmhv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
	y += alpha A^H x More...
FieldTraits< field_type >::real_type	frobenius_norm () const
	frobenius norm: sqrt(sum over squared values of entries) More...
FieldTraits< field_type >::real_type	frobenius_norm2 () const
	square of frobenius norm, need for block recursion More...
FieldTraits< field_type >::real_type	infinity_norm () const
	infinity norm (row sum norm, how to generalize for blocks?) More...
FieldTraits< field_type >::real_type	infinity_norm_real () const
	simplified infinity norm (uses Manhattan norm for complex values) More...

Detailed Description

template<class K, int N>
class Dune::IdentityMatrix< K, N >

Read-only identity matrix.

Implementation of an identity matrix that does not store any data.

Template Parameters

K	field type
N	dimension

Member Function Documentation

frobenius_norm()

template<class K , int N>

FieldTraits< field_type >::real_type Dune::IdentityMatrix< K, N >::frobenius_norm ( ) const

inline

frobenius norm: sqrt(sum over squared values of entries)

References Dune::IdentityMatrix< K, N >::frobenius_norm2().

frobenius_norm2()

template<class K , int N>

FieldTraits< field_type >::real_type Dune::IdentityMatrix< K, N >::frobenius_norm2 ( ) const

inline

square of frobenius norm, need for block recursion

Referenced by Dune::IdentityMatrix< K, N >::frobenius_norm().

infinity_norm()

template<class K , int N>

FieldTraits< field_type >::real_type Dune::IdentityMatrix< K, N >::infinity_norm ( ) const

inline

infinity norm (row sum norm, how to generalize for blocks?)

infinity_norm_real()

template<class K , int N>

FieldTraits< field_type >::real_type Dune::IdentityMatrix< K, N >::infinity_norm_real ( ) const

inline

simplified infinity norm (uses Manhattan norm for complex values)

mmhv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::mmhv ( const X &  x, Y &  y  ) const

inline

y -= A^H x

mmtv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::mmtv ( const X &  x, Y &  y  ) const

inline

y -= A^T x

mmv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::mmv ( const X &  x, Y &  y  ) const

inline

y -= A x

mtv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::mtv ( const X &  x, Y &  y  ) const

inline

y = A^T x

mv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::mv ( const X &  x, Y &  y  ) const

inline

y = A x

umhv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::umhv ( const X &  x, Y &  y  ) const

inline

y += A^H x

umtv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::umtv ( const X &  x, Y &  y  ) const

inline

y += A^T x

umv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::umv ( const X &  x, Y &  y  ) const

inline

y += A x

usmhv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::usmhv ( const typename FieldTraits< Y >::field_type &  alpha, const X &  x, Y &  y  ) const

inline

y += alpha A^H x

usmtv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::usmtv ( const typename FieldTraits< Y >::field_type &  alpha, const X &  x, Y &  y  ) const

inline

y += alpha A^T x

usmv()

template<class K , int N>

template<class X , class Y >

void Dune::IdentityMatrix< K, N >::usmv ( const typename FieldTraits< Y >::field_type &  alpha, const X &  x, Y &  y  ) const

inline

y += alpha A x

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

• dune/common/identitymatrix.hh