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Teko::BlockLowerTriInverseOp Class Reference

This linear operator computes the inverse of a lower triangular matrix. More...

#include <Teko_BlockLowerTriInverseOp.hpp>

Inheritance diagram for Teko::BlockLowerTriInverseOp:
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List of all members.

Public Member Functions

 BlockLowerTriInverseOp (BlockedLinearOp &L, const std::vector< LinearOp > &invDiag)
 This constructor explicitly takes a lower triangular matrix and inverse diagonal operators and builds a forward substitution operator.
Inherited methods from Thyra::LinearOpBase
virtual VectorSpace range () const
 Range space of this operator.
virtual VectorSpace domain () const
 Domain space of this operator.
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.

Protected Attributes

const BlockedLinearOp L_
 operator $ L $
std::vector< LinearOp > invDiag_
 (Approximate) Inverses of the diagonal operators
Teuchos::RCP< const
Thyra::ProductVectorSpaceBase
< double > > 
productRange_
 Range vector space.
Teuchos::RCP< const
Thyra::ProductVectorSpaceBase
< double > > 
productDomain_
 Domain vector space.

Detailed Description

This linear operator computes the inverse of a lower triangular matrix.

This linear operator computes the inverse of a lower triangular matrix. This requires, the lower triangular blocks, as well as the inverse of the operators on the diagonal.

Definition at line 63 of file Teko_BlockLowerTriInverseOp.hpp.


Constructor & Destructor Documentation

Teko::BlockLowerTriInverseOp::BlockLowerTriInverseOp ( BlockedLinearOp &  L,
const std::vector< LinearOp > &  invDiag 
)

This constructor explicitly takes a lower triangular matrix and inverse diagonal operators and builds a forward substitution operator.

This constructor explicitly takes a lower triangular matrix and inverse diagonal operators and builds a forward substitution operator.

Parameters:
[in]LLower triangular matrix object
[in]invDiagVector containing the inverse of the diagonal blocks

Definition at line 55 of file Teko_BlockLowerTriInverseOp.cpp.


Member Function Documentation

virtual VectorSpace Teko::BlockLowerTriInverseOp::range ( ) const [inline, virtual]

Range space of this operator.

Implements Teko::BlockImplicitLinearOp.

Definition at line 80 of file Teko_BlockLowerTriInverseOp.hpp.

virtual VectorSpace Teko::BlockLowerTriInverseOp::domain ( ) const [inline, virtual]

Domain space of this operator.

Implements Teko::BlockImplicitLinearOp.

Definition at line 83 of file Teko_BlockLowerTriInverseOp.hpp.

void Teko::BlockLowerTriInverseOp::implicitApply ( const BlockedMultiVector &  src,
BlockedMultiVector &  dst,
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 the inverse $ LDU $ decomposition. The result is returned in $y$. If this operator is reprsented as $M$ then $ y = \alpha M x + \beta y $ (ignoring conjugation!).

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

Implements Teko::BlockImplicitLinearOp.

Definition at line 86 of file Teko_BlockLowerTriInverseOp.cpp.


Member Data Documentation

const BlockedLinearOp Teko::BlockLowerTriInverseOp::L_ [protected]

operator $ L $

Definition at line 106 of file Teko_BlockLowerTriInverseOp.hpp.

std::vector<LinearOp> Teko::BlockLowerTriInverseOp::invDiag_ [protected]

(Approximate) Inverses of the diagonal operators

Definition at line 107 of file Teko_BlockLowerTriInverseOp.hpp.

Teuchos::RCP<const Thyra::ProductVectorSpaceBase<double> > Teko::BlockLowerTriInverseOp::productRange_ [protected]

Range vector space.

Definition at line 109 of file Teko_BlockLowerTriInverseOp.hpp.

Teuchos::RCP<const Thyra::ProductVectorSpaceBase<double> > Teko::BlockLowerTriInverseOp::productDomain_ [protected]

Domain vector space.

Definition at line 110 of file Teko_BlockLowerTriInverseOp.hpp.


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