#include <dune/geometry/affinegeometry.hh>

Public Types
typedef ct	ctype

Static Public Member Functions
template<int m, int n>
static void	Ax (const FieldMatrix< ctype, m, n > &A, const FieldVector< ctype, n > &x, FieldVector< ctype, m > &ret)

template<int m, int n>
static void	ATx (const FieldMatrix< ctype, m, n > &A, const FieldVector< ctype, m > &x, FieldVector< ctype, n > &ret)

template<int m, int n, int p>
static void	AB (const FieldMatrix< ctype, m, n > &A, const FieldMatrix< ctype, n, p > &B, FieldMatrix< ctype, m, p > &ret)

template<int m, int n, int p>
static void	ATBT (const FieldMatrix< ctype, m, n > &A, const FieldMatrix< ctype, p, m > &B, FieldMatrix< ctype, n, p > &ret)

template<int m, int n>
static void	ATA_L (const FieldMatrix< ctype, m, n > &A, FieldMatrix< ctype, n, n > &ret)

template<int m, int n>
static void	ATA (const FieldMatrix< ctype, m, n > &A, FieldMatrix< ctype, n, n > &ret)

template<int m, int n>
static void	AAT_L (const FieldMatrix< ctype, m, n > &A, FieldMatrix< ctype, m, m > &ret)

template<int m, int n>
static void	AAT (const FieldMatrix< ctype, m, n > &A, FieldMatrix< ctype, m, m > &ret)

template<int n>
static void	Lx (const FieldMatrix< ctype, n, n > &L, const FieldVector< ctype, n > &x, FieldVector< ctype, n > &ret)

template<int n>
static void	LTx (const FieldMatrix< ctype, n, n > &L, const FieldVector< ctype, n > &x, FieldVector< ctype, n > &ret)

template<int n>
static void	LTL (const FieldMatrix< ctype, n, n > &L, FieldMatrix< ctype, n, n > &ret)

template<int n>
static void	LLT (const FieldMatrix< ctype, n, n > &L, FieldMatrix< ctype, n, n > &ret)

template<int n>
static void	cholesky_L (const FieldMatrix< ctype, n, n > &A, FieldMatrix< ctype, n, n > &ret)

template<int n>
static ctype	detL (const FieldMatrix< ctype, n, n > &L)

template<int n>
static ctype	invL (FieldMatrix< ctype, n, n > &L)

template<int n>
static void	invLx (FieldMatrix< ctype, n, n > &L, FieldVector< ctype, n > &x)

template<int n>
static void	invLTx (FieldMatrix< ctype, n, n > &L, FieldVector< ctype, n > &x)

template<int n>
static ctype	spdDetA (const FieldMatrix< ctype, n, n > &A)

template<int n>
static ctype	spdInvA (FieldMatrix< ctype, n, n > &A)

template<int n>
static void	spdInvAx (FieldMatrix< ctype, n, n > &A, FieldVector< ctype, n > &x)

template<int m, int n>
static ctype	detATA (const FieldMatrix< ctype, m, n > &A)

template<int m, int n>
static ctype	sqrtDetAAT (const FieldMatrix< ctype, m, n > &A)
	Compute the square root of the determinant of A times A transposed. More...

template<int m, int n>
static ctype	leftInvA (const FieldMatrix< ctype, m, n > &A, FieldMatrix< ctype, n, m > &ret)

template<int m, int n>
static void	leftInvAx (const FieldMatrix< ctype, m, n > &A, const FieldVector< ctype, m > &x, FieldVector< ctype, n > &y)

template<int m, int n>
static ctype	rightInvA (const FieldMatrix< ctype, m, n > &A, FieldMatrix< ctype, n, m > &ret)
	Compute right pseudo-inverse of matrix A. More...

template<int m, int n>
static void	xTRightInvA (const FieldMatrix< ctype, m, n > &A, const FieldVector< ctype, n > &x, FieldVector< ctype, m > &y)

Member Typedef Documentation

§ ctype

template<class ct >

typedef ct Dune::Impl::FieldMatrixHelper< ct >::ctype

Member Function Documentation

§ AAT()

template<class ct >

template<int m, int n>

static void Dune::Impl::FieldMatrixHelper< ct >::AAT	(	const FieldMatrix< ctype, m, n > &	A,
		FieldMatrix< ctype, m, m > &	ret
	)

inlinestatic

§ AAT_L()

template<class ct >

template<int m, int n>

static void Dune::Impl::FieldMatrixHelper< ct >::AAT_L	(	const FieldMatrix< ctype, m, n > &	A,
		FieldMatrix< ctype, m, m > &	ret
	)

inlinestatic

§ AB()

template<class ct >

template<int m, int n, int p>

static void Dune::Impl::FieldMatrixHelper< ct >::AB	(	const FieldMatrix< ctype, m, n > &	A,
		const FieldMatrix< ctype, n, p > &	B,
		FieldMatrix< ctype, m, p > &	ret
	)

inlinestatic

§ ATA()

template<class ct >

template<int m, int n>

static void Dune::Impl::FieldMatrixHelper< ct >::ATA	(	const FieldMatrix< ctype, m, n > &	A,
		FieldMatrix< ctype, n, n > &	ret
	)

inlinestatic

§ ATA_L()

template<class ct >

template<int m, int n>

static void Dune::Impl::FieldMatrixHelper< ct >::ATA_L	(	const FieldMatrix< ctype, m, n > &	A,
		FieldMatrix< ctype, n, n > &	ret
	)

inlinestatic

§ ATBT()

template<class ct >

template<int m, int n, int p>

static void Dune::Impl::FieldMatrixHelper< ct >::ATBT	(	const FieldMatrix< ctype, m, n > &	A,
		const FieldMatrix< ctype, p, m > &	B,
		FieldMatrix< ctype, n, p > &	ret
	)

inlinestatic

§ ATx()

template<class ct >

template<int m, int n>

static void Dune::Impl::FieldMatrixHelper< ct >::ATx	(	const FieldMatrix< ctype, m, n > &	A,
		const FieldVector< ctype, m > &	x,
		FieldVector< ctype, n > &	ret
	)

inlinestatic

§ Ax()

template<class ct >

template<int m, int n>

static void Dune::Impl::FieldMatrixHelper< ct >::Ax	(	const FieldMatrix< ctype, m, n > &	A,
		const FieldVector< ctype, n > &	x,
		FieldVector< ctype, m > &	ret
	)

inlinestatic

§ cholesky_L()

template<class ct >

template<int n>

static void Dune::Impl::FieldMatrixHelper< ct >::cholesky_L	(	const FieldMatrix< ctype, n, n > &	A,
		FieldMatrix< ctype, n, n > &	ret
	)

inlinestatic

§ detATA()

template<class ct >

template<int m, int n>

static ctype Dune::Impl::FieldMatrixHelper< ct >::detATA ( const FieldMatrix< ctype, m, n > & A )

inlinestatic

§ detL()

template<class ct >

template<int n>

static ctype Dune::Impl::FieldMatrixHelper< ct >::detL ( const FieldMatrix< ctype, n, n > & L )

inlinestatic

§ invL()

template<class ct >

template<int n>

static ctype Dune::Impl::FieldMatrixHelper< ct >::invL ( FieldMatrix< ctype, n, n > & L )

inlinestatic

§ invLTx()

template<class ct >

template<int n>

static void Dune::Impl::FieldMatrixHelper< ct >::invLTx	(	FieldMatrix< ctype, n, n > &	L,
		FieldVector< ctype, n > &	x
	)

inlinestatic

§ invLx()

template<class ct >

template<int n>

static void Dune::Impl::FieldMatrixHelper< ct >::invLx	(	FieldMatrix< ctype, n, n > &	L,
		FieldVector< ctype, n > &	x
	)

inlinestatic

§ leftInvA()

template<class ct >

template<int m, int n>

static ctype Dune::Impl::FieldMatrixHelper< ct >::leftInvA	(	const FieldMatrix< ctype, m, n > &	A,
		FieldMatrix< ctype, n, m > &	ret
	)

inlinestatic

§ leftInvAx()

template<class ct >

template<int m, int n>

static void Dune::Impl::FieldMatrixHelper< ct >::leftInvAx	(	const FieldMatrix< ctype, m, n > &	A,
		const FieldVector< ctype, m > &	x,
		FieldVector< ctype, n > &	y
	)

inlinestatic

§ LLT()

template<class ct >

template<int n>

static void Dune::Impl::FieldMatrixHelper< ct >::LLT	(	const FieldMatrix< ctype, n, n > &	L,
		FieldMatrix< ctype, n, n > &	ret
	)

inlinestatic

§ LTL()

template<class ct >

template<int n>

static void Dune::Impl::FieldMatrixHelper< ct >::LTL	(	const FieldMatrix< ctype, n, n > &	L,
		FieldMatrix< ctype, n, n > &	ret
	)

inlinestatic

§ LTx()

template<class ct >

template<int n>

static void Dune::Impl::FieldMatrixHelper< ct >::LTx	(	const FieldMatrix< ctype, n, n > &	L,
		const FieldVector< ctype, n > &	x,
		FieldVector< ctype, n > &	ret
	)

inlinestatic

§ Lx()

template<class ct >

template<int n>

static void Dune::Impl::FieldMatrixHelper< ct >::Lx	(	const FieldMatrix< ctype, n, n > &	L,
		const FieldVector< ctype, n > &	x,
		FieldVector< ctype, n > &	ret
	)

inlinestatic

§ rightInvA()

template<class ct >

template<int m, int n>

static ctype Dune::Impl::FieldMatrixHelper< ct >::rightInvA	(	const FieldMatrix< ctype, m, n > &	A,
		FieldMatrix< ctype, n, m > &	ret
	)

inlinestatic

Compute right pseudo-inverse of matrix A.

§ spdDetA()

template<class ct >

template<int n>

static ctype Dune::Impl::FieldMatrixHelper< ct >::spdDetA ( const FieldMatrix< ctype, n, n > & A )

inlinestatic

§ spdInvA()

template<class ct >

template<int n>

static ctype Dune::Impl::FieldMatrixHelper< ct >::spdInvA ( FieldMatrix< ctype, n, n > & A )

inlinestatic

§ spdInvAx()

template<class ct >

template<int n>

static void Dune::Impl::FieldMatrixHelper< ct >::spdInvAx	(	FieldMatrix< ctype, n, n > &	A,
		FieldVector< ctype, n > &	x
	)

inlinestatic

§ sqrtDetAAT()

template<class ct >

template<int m, int n>

static ctype Dune::Impl::FieldMatrixHelper< ct >::sqrtDetAAT ( const FieldMatrix< ctype, m, n > & A )

inlinestatic

Compute the square root of the determinant of A times A transposed.

This is the volume element for an embedded submanifold and needed to implement the method integrationElement().

§ xTRightInvA()

template<class ct >

template<int m, int n>

static void Dune::Impl::FieldMatrixHelper< ct >::xTRightInvA	(	const FieldMatrix< ctype, m, n > &	A,
		const FieldVector< ctype, n > &	x,
		FieldVector< ctype, m > &	y
	)

inlinestatic

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

affinegeometry.hh

Public Types

Static Public Member Functions

Member Typedef Documentation

§ ctype

Member Function Documentation

§ AAT()

§ AAT_L()

§ AB()

§ ATA()

§ ATA_L()

§ ATBT()

§ ATx()

§ Ax()

§ cholesky_L()

§ detATA()

§ detL()

§ invL()

§ invLTx()

§ invLx()

§ leftInvA()

§ leftInvAx()

§ LLT()

§ LTL()

§ LTx()

§ Lx()

§ rightInvA()

§ spdDetA()

§ spdInvA()

§ spdInvAx()

§ sqrtDetAAT()

§ xTRightInvA()