gridpack::math::fallback Namespace Reference

Functions
template<typename T , typename I >
void	addDiagonal (BaseMatrixInterface< T, I > &A, const T &x)
	Shift the diagonal of this matrix by the specified value.
template<typename T , typename I >
double	norm2 (const parallel::Communicator &comm, const BaseMatrixInterface< T, I > &A)
template<typename T , typename I >
void	diagonal (const MatrixT< T, I > &A, VectorT< T, I > &d)
	Get the diagonal from a Matrix and put in new Vector (fallback).
template<typename T , typename I >
MatrixT< T, I > *	diagonal (const VectorT< T, I > &x, const MatrixStorageType &stype=Sparse)
	Make a diagonal Matrix from a Vector.
template<typename T , typename I >
void	column (const MatrixT< T, I > &A, const I &cidx, VectorT< T, I > &c)
	Get a column from the Matrix and put in new Vector (fallback).
template<typename T , typename I >
void	multiplyDiagonal (MatrixT< T, I > &A, const VectorT< T, I > &x)
	Multiply this matrix diagonal by the specified vector (fallback).
template<typename T , typename I >
void	addDiagonal (MatrixT< T, I > &A, const VectorT< T, I > &x)
	Add the specified vector to the diagonal of this matrix (fallback).
template<typename T , typename I >
void	denseMatrixMultiply (const MatrixT< T, I > &A, const MatrixT< T, I > &B, MatrixT< T, I > &C)
template<typename T , typename I >
MatrixT< T, I > *	denseMatrixMultiply (const MatrixT< T, I > &A, const MatrixT< T, I > &B)

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Function Documentation

template<typename T , typename I >

void gridpack::math::fallback::addDiagonal	(	MatrixT< T, I > &	A,
		const VectorT< T, I > &	x
	)

Add the specified vector to the diagonal of this matrix (fallback).

Collective.

Parameters:

	A
	x

References gridpack::math::BaseMatrixInterface< T, I >::addElement(), gridpack::math::BaseVectorInterface< T, I >::getElement(), gridpack::math::BaseVectorInterface< T, I >::localIndexRange(), and gridpack::math::BaseMatrixInterface< T, I >::ready().

template<typename T , typename I >

void gridpack::math::fallback::addDiagonal	(	BaseMatrixInterface< T, I > &	A,
		const T &	x
	)

Shift the diagonal of this matrix by the specified value.

Collective.

Parameters:

x

References gridpack::math::BaseMatrixInterface< T, I >::addElement(), gridpack::math::BaseMatrixInterface< T, I >::localRowRange(), and gridpack::math::BaseMatrixInterface< T, I >::ready().

template<typename T , typename I >

void gridpack::math::fallback::column	(	const MatrixT< T, I > &	A,
		const I &	cidx,
		VectorT< T, I > &	c
	)

Get a column from the Matrix and put in new Vector (fallback).

Parameters:

	A
	cidx
	c

References gridpack::math::BaseMatrixInterface< T, I >::getElement(), gridpack::math::BaseMatrixInterface< T, I >::localRowRange(), gridpack::math::BaseVectorInterface< T, I >::ready(), and gridpack::math::BaseVectorInterface< T, I >::setElement().

template<typename T , typename I >

MatrixT<T, I>* gridpack::math::fallback::denseMatrixMultiply	(	const MatrixT< T, I > &	A,
		const MatrixT< T, I > &	B
	)

References gridpack::math::BaseMatrixInterface< T, I >::cols(), gridpack::parallel::WrappedDistributed::communicator(), denseMatrixMultiply(), gridpack::math::BaseMatrixInterface< T, I >::localCols(), gridpack::math::BaseMatrixInterface< T, I >::localRows(), and gridpack::math::BaseMatrixInterface< T, I >::rows().

template<typename T , typename I >

void gridpack::math::fallback::denseMatrixMultiply	(	const MatrixT< T, I > &	A,
		const MatrixT< T, I > &	B,
		MatrixT< T, I > &	C
	)

References gridpack::math::BaseMatrixInterface< T, I >::cols(), column(), gridpack::parallel::WrappedDistributed::communicator(), gridpack::math::BaseMatrixInterface< T, I >::localRows(), gridpack::math::multiply(), gridpack::math::BaseMatrixInterface< T, I >::ready(), gridpack::math::BaseMatrixInterface< T, I >::rows(), and gridpack::math::BaseMatrixInterface< T, I >::setElement().

template<typename T , typename I >

MatrixT<T, I>* gridpack::math::fallback::diagonal	(	const VectorT< T, I > &	x,
		const MatrixStorageType &	stype = Sparse
	)

Make a diagonal Matrix from a Vector.

Collective.

This

Parameters:

x

Returns:

References gridpack::parallel::WrappedDistributed::communicator(), gridpack::math::BaseVectorInterface< T, I >::getElement(), gridpack::math::BaseVectorInterface< T, I >::localIndexRange(), gridpack::math::BaseVectorInterface< T, I >::localSize(), gridpack::math::BaseMatrixInterface< T, I >::ready(), and gridpack::math::BaseMatrixInterface< T, I >::setElement().

template<typename T , typename I >

void gridpack::math::fallback::diagonal	(	const MatrixT< T, I > &	A,
		VectorT< T, I > &	d
	)

Get the diagonal from a Matrix and put in new Vector (fallback).

Get the diagonal from a Matrix and put it in specified Vector.

Collective.

Parameters:

	A
	x

Returns:

pointer to new, allocated Vector containing the diagonal elements of A

References gridpack::math::BaseMatrixInterface< T, I >::getElement(), gridpack::math::BaseMatrixInterface< T, I >::localRowRange(), gridpack::math::BaseVectorInterface< T, I >::ready(), and gridpack::math::BaseVectorInterface< T, I >::setElement().

template<typename T , typename I >

void gridpack::math::fallback::multiplyDiagonal	(	MatrixT< T, I > &	A,
		const VectorT< T, I > &	x
	)

Multiply this matrix diagonal by the specified vector (fallback).

Collective.

This is element by element multiplication

Parameters:

x

factor by which all diagonal elements in the matrix are multiplied

References gridpack::math::BaseMatrixInterface< T, I >::getElement(), gridpack::math::BaseVectorInterface< T, I >::getElement(), gridpack::math::BaseVectorInterface< T, I >::localIndexRange(), gridpack::math::BaseMatrixInterface< T, I >::localRows(), gridpack::math::BaseMatrixInterface< T, I >::ready(), and gridpack::math::BaseMatrixInterface< T, I >::setElement().

template<typename T , typename I >

double gridpack::math::fallback::norm2	(	const parallel::Communicator &	comm,
		const BaseMatrixInterface< T, I > &	A
	)

References gridpack::math::BaseMatrixInterface< T, I >::cols(), gridpack::math::BaseMatrixInterface< T, I >::getElement(), gridpack::math::BaseMatrixInterface< T, I >::localRowRange(), and gridpack::math::base_accumulator_function< T, ResultType >::result().