This linear operator computes the inverse of a diagonal matrix. More...

#include <Teko_BlockDiagonalInverseOp.hpp>

Inheritance diagram for Teko::BlockDiagonalInverseOp:

Public Member Functions
	BlockDiagonalInverseOp (BlockedLinearOp &A, const std::vector< LinearOp > &invDiag)
	This constructor explicitly takes a diagonal matrix and inverse diagonal operators and builds a back substitution operator. More...

Inherited methods from Thyra::LinearOpBase
virtual VectorSpace	range () const
	Range space of this operator. More...

virtual VectorSpace	domain () const
	Domain space of this operator. More...

virtual void	implicitApply (const BlockedMultiVector &x, BlockedMultiVector &y, const double alpha=1.0, const double beta=0.0) const
	Perform a matrix vector multiply with this operator. More...

virtual void	implicitApply (const Thyra::EOpTransp M_trans, const BlockedMultiVector &x, BlockedMultiVector &y, const double alpha=1.0, const double beta=0.0) const
	Perform a matrix vector multiply with this implicitly defined blocked operator. More...

Protected Attributes
std::vector< LinearOp >	invDiag_
	(Approximate) Inverses of the diagonal operators More...

Teuchos::RCP< const Thyra::ProductVectorSpaceBase < double > >	productRange_
	Range vector space. More...

Teuchos::RCP< const Thyra::ProductVectorSpaceBase < double > >	productDomain_
	Domain vector space. More...

Additional Inherited Members
Protected Member Functions inherited from Teko::BlockImplicitLinearOp
virtual bool	opSupportedImpl (const Thyra::EOpTransp M_trans) const
	Functions required by Thyra::LinearOpBase. More...

Detailed Description

This linear operator computes the inverse of a diagonal matrix.

This linear operator computes the inverse of a diagonal matrix. This requires the inverse of the operators on the diagonal.

Definition at line 25 of file Teko_BlockDiagonalInverseOp.hpp.

Constructor & Destructor Documentation

Teko::BlockDiagonalInverseOp::BlockDiagonalInverseOp	(	BlockedLinearOp &	A,
		const std::vector< LinearOp > &	invDiag
	)

This constructor explicitly takes a diagonal matrix and inverse diagonal operators and builds a back substitution operator.

This constructor explicitly takes the inverse diagonal operators and builds a back substitution operator.

Parameters

[in]	A	Matrix object
[in]	invDiag	Vector containing the inverse of the diagonal blocks

Definition at line 18 of file Teko_BlockDiagonalInverseOp.cpp.

Member Function Documentation

virtual VectorSpace Teko::BlockDiagonalInverseOp::range ( ) const

inlinevirtual

Range space of this operator.

Implements Teko::BlockImplicitLinearOp.

Definition at line 45 of file Teko_BlockDiagonalInverseOp.hpp.

virtual VectorSpace Teko::BlockDiagonalInverseOp::domain ( ) const

inlinevirtual

Domain space of this operator.

Implements Teko::BlockImplicitLinearOp.

Definition at line 48 of file Teko_BlockDiagonalInverseOp.hpp.

void Teko::BlockDiagonalInverseOp::implicitApply	(	const BlockedMultiVector &	x,
		BlockedMultiVector &	y,
		const double	alpha = `1.0`,
		const double	beta = `0.0`
	)		const

virtual

Perform a matrix vector multiply with this operator.

The apply function takes one vector as input and applies $D^{-1}$ . The result is returned in $y$ . If this operator is represented as $M$ then $y = \alpha M x + \beta y$ .

Parameters

[in]	x
[in,out]	y
[in]	alpha	(default=1)
[in]	beta	(default=0)

Implements Teko::BlockImplicitLinearOp.

Definition at line 35 of file Teko_BlockDiagonalInverseOp.cpp.

void Teko::BlockDiagonalInverseOp::implicitApply	(	const Thyra::EOpTransp	M_trans,
		const BlockedMultiVector &	x,
		BlockedMultiVector &	y,
		const double	alpha = `1.0`,
		const double	beta = `0.0`
	)		const

virtual

Perform a matrix vector multiply with this implicitly defined blocked operator.

The apply function takes one vector as input and applies a linear operator. The result is returned in $y$ . If this operator is represented as $M$ then $y = \alpha M x + \beta y$

Parameters