MathTL::KroneckerMatrix< C, MATRIX1, MATRIX2 > Class Template Reference

#include <kronecker_matrix.h>

Inheritance diagram for MathTL::KroneckerMatrix< C, MATRIX1, MATRIX2 >:

List of all members.

Public Types
typedef Vector< C >::size_type	size_type
	type of indexes and size type (cf. STL containers)
Public Member Functions
	KroneckerMatrix (const MATRIX1 &A, const MATRIX2 &B, const double factor=1.0)
	default constructor from A and B
	KroneckerMatrix (const KroneckerMatrix< C, MATRIX1, MATRIX2 > &M)
	copy constructor
MatrixBlock< C > *	clone () const
	clone the Kronecker matrix (requirement from MatrixBlock)
MatrixBlock< C > *	clone_transposed () const
	transpose the Kronecker matrix (requirement from MatrixBlock)
const size_type	row_dimension () const
	row dimension
const size_type	column_dimension () const
	column dimension
bool	empty () const
	return true if matrix is empty (cf. STL containers)
const C	operator() (const size_type row, const size_type column) const
	read-only access to a matrix entry
const C	get_entry (const size_type row, const size_type column) const
	read-only access to a matrix entry
template<class VECTOR >
void	apply (const VECTOR &x, VECTOR &Mx) const
void	apply (const Vector< C > &x, Vector< C > &Mx) const
	special version for Vector<C> (requirement from MatrixBlock)
template<class VECTOR >
void	apply_transposed (const VECTOR &x, VECTOR &Mtx) const
void	apply_transposed (const Vector< C > &x, Vector< C > &Mtx) const
	special version for Vector<C> (requirement from MatrixBlock)
void	print (std::ostream &os, const unsigned int tabwidth=10, const unsigned int precision=3) const
Protected Attributes
MATRIX1	A
MATRIX2	B
C	factor_

---

Detailed Description

template<class C, class MATRIX1, class MATRIX2>
class MathTL::KroneckerMatrix< C, MATRIX1, MATRIX2 >

This class models finite matrices stemming from a Kronecker product kron(A,B) = (a_{1,1}B ... a_{1,n}B) (. ) (a_{m,1}B ... a_{m,n}B) of two (arbitrary) matrices A and B. The entries of M stem from an arbitrary (scalar) class C.

---

Member Function Documentation

template<class C , class MATRIX1 , class MATRIX2 >

template<class VECTOR >

void MathTL::KroneckerMatrix< C, MATRIX1, MATRIX2 >::apply	(	const VECTOR &	x,
		VECTOR &	Mx
	)		const

matrix-vector multiplication Mx = (*this) * x; we assume that the vector Mx has the correct size and is not identical to x

template<class C , class MATRIX1 , class MATRIX2 >

template<class VECTOR >

void MathTL::KroneckerMatrix< C, MATRIX1, MATRIX2 >::apply_transposed	(	const VECTOR &	x,
		VECTOR &	Mtx
	)		const

transposed matrix-vector multiplication Mtx = (*this)^T * x; we assume that the vector Mtx has the correct size and is not identical to x

template<class C , class MATRIX1 , class MATRIX2 >

void MathTL::KroneckerMatrix< C, MATRIX1, MATRIX2 >::print	(	std::ostream &	os,
		const unsigned int	tabwidth = 10,
		const unsigned int	precision = 3
	)		const [virtual]

stream output with user-defined tabwidth and precision (cf. deal.II)

Implements MathTL::MatrixBlock< C >.

---

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

• algebra/kronecker_matrix.h
• algebra/kronecker_matrix.cpp