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Thyra::DefaultMultipliedLinearOp< Scalar > Class Template Reference
[Development of linear Abstract Numerical Algorithms (ANAs)]

Concrete composite LinearOpBase subclass that creates an implicitly multiplied linear operator out of one or more constituent LinearOpBase objects. More...

#include <Thyra_DefaultMultipliedLinearOpDecl.hpp>

Inheritance diagram for Thyra::DefaultMultipliedLinearOp< Scalar >:

[legend]
List of all members.

Constructors/initializers/accessors

 DefaultMultipliedLinearOp ()
 Constructs to uninitialized.
 DefaultMultipliedLinearOp (const int numOps, const Teuchos::RefCountPtr< LinearOpBase< Scalar > > Ops[])
 DefaultMultipliedLinearOp (const int numOps, const Teuchos::RefCountPtr< const LinearOpBase< Scalar > > Ops[])
void initialize (const int numOps, const Teuchos::RefCountPtr< LinearOpBase< Scalar > > Ops[])
 Initialize given a list of non-const linear operators.
void initialize (const int numOps, const Teuchos::RefCountPtr< const LinearOpBase< Scalar > > Ops[])
 Initialize given a list of const linear operators.
void uninitialize ()
 Set to uninitialized.

Overridden from MultipliedLinearOpBase

int numOps () const
 
bool opIsConst (const int k) const
 
Teuchos::RefCountPtr< LinearOpBase<
Scalar > > 		getNonconstOp (const int k)
 
Teuchos::RefCountPtr< const
LinearOpBase< Scalar > > 		getOp (const int k) const
 

Overridden from LinearOpBase

Teuchos::RefCountPtr< const
VectorSpaceBase< Scalar > > 		range () const
 Returns this->getOp(0).range() if <t>this->numOps() > 0 and returns Teuchos::null otherwise.
Teuchos::RefCountPtr< const
VectorSpaceBase< Scalar > > 		domain () const
 Returns this->getOp(this->numOps()-1).domain() if <t>this->numOps() > 0 and returns Teuchos::null otherwise.
Teuchos::RefCountPtr< const
LinearOpBase< Scalar > > 		clone () const
 

Overridden from Teuchos::Describable

std::string description () const
 Prints just the name DefaultMultipliedLinearOp along with the overall dimensions and the number of constituent operators.
void describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel) const
 Prints the details about the constituent linear operators.

Overridden from SingleScalarLinearOpBase

bool opSupported (ETransp M_trans) const
 Returns true only if all constituent operators support M_trans.
void apply (const ETransp M_trans, const MultiVectorBase< Scalar > &X, MultiVectorBase< Scalar > *Y, const Scalar alpha, const Scalar beta) const
 

Related Functions

(Note that these are not member functions.)

Teuchos::RefCountPtr< LinearOpBase<
Scalar > > 		nonconstMultiply (const Teuchos::RefCountPtr< LinearOpBase< Scalar > > &A, const Teuchos::RefCountPtr< LinearOpBase< Scalar > > &B)
 Form an implicit multiplication of two linear operators: M = A * B.
Teuchos::RefCountPtr< const
LinearOpBase< Scalar > > 		multiply (const Teuchos::RefCountPtr< const LinearOpBase< Scalar > > &A, const Teuchos::RefCountPtr< const LinearOpBase< Scalar > > &B)
 Form an implicit multiplication of two linear operators: M = A * B.

Detailed Description

template<class Scalar>
class Thyra::DefaultMultipliedLinearOp< Scalar >

Concrete composite LinearOpBase subclass that creates an implicitly multiplied linear operator out of one or more constituent LinearOpBase objects.

This class represents a multiplied linear operator M of the form:

 
 M = Op[0] * Op[1] * ... * Op[numOps-1]

where Op[] is an array of numOps LinearOp objects. Of course the operator M is not constructed explicitly but instead just applies the constituent linear operators accordingly using temporaries.

In other words, this class defines apply() as:


 y = alpha*M*x + beta*y
   = alpha * ( Op[0] * ( Op[1] * ( .... ( Op[numOps-1] * x ) ... ) ) ) + beta * y

for the case where M_trans==NOTRANS and as:


 y = alpha*M'*x + beta*y
   = alpha * ( Op[numOps-1]' * ( .... ( Op[1]' * ( Op[0]' * x ) ) ... ) ) + beta * y

for the case where real_trans(M_trans)!=NOTRANS (where the transpose ' either defines TRANS or CONJTRANS).

Constructing a multiplied operator is easy. For example, suppose one wants to construct the multiplied operator D = A * B' * C. To do so one would do:

 template<class Scalar>
 void constructD(
    const Teuchos::RefCountPtr<const Thyra::LinearOpBase<Scalar> >   &A
    ,const Teuchos::RefCountPtr<const Thyra::LinearOpBase<Scalar> >  &B
    ,const Teuchos::RefCountPtr<const Thyra::LinearOpBase<Scalar> >  &C
    ,Teuchos::RefCountPtr<const Thyra::LinearOpBase<Scalar> >        *D
    )
 {
   typedef Teuchos::RefCountPtr<const Thyra::LinearOpBase<Scalar> > LOB;
   *D = Teuchos::rcp(
     new Thyra::DefaultMultipliedLinearOp<Scalar>(
       3, Teuchos::arrayArg<LOB>(A,adjoin(B),C)()
       )
     );
 }

Rather than calling the constructor directly, consider using the non-member helper functions described here.

Definition at line 108 of file Thyra_DefaultMultipliedLinearOpDecl.hpp.

Constructor & Destructor Documentation

template<class Scalar>
Thyra::DefaultMultipliedLinearOp< Scalar >::DefaultMultipliedLinearOp (   ) 
 

Constructs to uninitialized.

Postconditions:

Definition at line 41 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
Thyra::DefaultMultipliedLinearOp< Scalar >::DefaultMultipliedLinearOp (  const int  numOps,
const Teuchos::RefCountPtr< LinearOpBase< Scalar > >  Ops[]
) 
 

Calls initialize().

Rather than calling this constructor directly, consider using the non-member helper functions described here.

Definition at line 45 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
Thyra::DefaultMultipliedLinearOp< Scalar >::DefaultMultipliedLinearOp (  const int  numOps,
const Teuchos::RefCountPtr< const LinearOpBase< Scalar > >  Ops[]
) 
 

Calls initialize().

Rather than calling this constructor directly, consider using the non-member helper functions described here.

Member Function Documentation

template<class Scalar>
void Thyra::DefaultMultipliedLinearOp< Scalar >::initialize (  const int  numOps,
const Teuchos::RefCountPtr< LinearOpBase< Scalar > >  Ops[]
) 
 

Initialize given a list of non-const linear operators.

Parameters:
numOps [in] Number of constituent operators.
Ops [in] Array (length numOps) of constituent linear operators and their aggregated default definitions of the non-transposed operator.
Preconditions:
  • numOps > 0
  • Ops != NULL
  • Ops[k].op().get()!=NULL, for k=0...numOps-1

Postconditions:

  • this->numOps()==numOps
  • this->getOp(k).op().get()==Ops[k].op().get(), for k=0...numOps-1

Definition at line 63 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
void Thyra::DefaultMultipliedLinearOp< Scalar >::initialize (  const int  numOps,
const Teuchos::RefCountPtr< const LinearOpBase< Scalar > >  Ops[]
) 
 

Initialize given a list of const linear operators.

Parameters:
numOps [in] Number of constituent operators.
Ops [in] Array (length numOps) of constituent linear operators and their aggregated default definitions of the non-transposed operator.
Preconditions:
  • numOps > 0
  • Ops != NULL
  • Ops[k].op().get()!=NULL, for k=0...numOps-1

Postconditions:

  • this->numOps()==numOps
  • this->getOp(k).op().get()==Ops[k].op().get(), for k=0...numOps-1

template<class Scalar>
void Thyra::DefaultMultipliedLinearOp< Scalar >::uninitialize (   ) 
 

Set to uninitialized.

Postconditions:

Definition at line 87 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
int Thyra::DefaultMultipliedLinearOp< Scalar >::numOps (   )  const [virtual]
 

Implements Thyra::MultipliedLinearOpBase< Scalar >.

Definition at line 95 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
bool Thyra::DefaultMultipliedLinearOp< Scalar >::opIsConst (  const int  k  )  const [virtual]
 

Implements Thyra::MultipliedLinearOpBase< Scalar >.

Definition at line 101 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
Teuchos::RefCountPtr< LinearOpBase< Scalar > > Thyra::DefaultMultipliedLinearOp< Scalar >::getNonconstOp (  const int  k  )  [virtual]
 

Implements Thyra::MultipliedLinearOpBase< Scalar >.

Definition at line 111 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
Teuchos::RefCountPtr< const LinearOpBase< Scalar > > Thyra::DefaultMultipliedLinearOp< Scalar >::getOp (  const int  k  )  const [virtual]
 

Implements Thyra::MultipliedLinearOpBase< Scalar >.

Definition at line 121 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
Teuchos::RefCountPtr< const VectorSpaceBase< Scalar > > Thyra::DefaultMultipliedLinearOp< Scalar >::range (   )  const
 

Returns this->getOp(0).range() if <t>this->numOps() > 0 and returns Teuchos::null otherwise.

Definition at line 133 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
Teuchos::RefCountPtr< const VectorSpaceBase< Scalar > > Thyra::DefaultMultipliedLinearOp< Scalar >::domain (   )  const
 

Returns this->getOp(this->numOps()-1).domain() if <t>this->numOps() > 0 and returns Teuchos::null otherwise.

Definition at line 141 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
Teuchos::RefCountPtr< const LinearOpBase< Scalar > > Thyra::DefaultMultipliedLinearOp< Scalar >::clone (   )  const
 

Definition at line 149 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
std::string Thyra::DefaultMultipliedLinearOp< Scalar >::description (   )  const
 

Prints just the name DefaultMultipliedLinearOp along with the overall dimensions and the number of constituent operators.

Definition at line 157 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
void Thyra::DefaultMultipliedLinearOp< Scalar >::describe (  Teuchos::FancyOStream &  out,
const Teuchos::EVerbosityLevel  verbLevel
)  const
 

Prints the details about the constituent linear operators.

This function outputs different levels of detail based on the value passed in for verbLevel:

ToDo: Finish documentation!

Reimplemented from Thyra::LinearOpDefaultBase< Scalar >.

Definition at line 167 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
bool Thyra::DefaultMultipliedLinearOp< Scalar >::opSupported (  ETransp  M_trans  )  const [protected, virtual]
 

Returns true only if all constituent operators support M_trans.

Implements Thyra::SingleScalarLinearOpBase< Scalar >.

Definition at line 213 of file Thyra_DefaultMultipliedLinearOp.hpp.

template<class Scalar>
void Thyra::DefaultMultipliedLinearOp< Scalar >::apply (  const ETransp  M_trans,
const MultiVectorBase< Scalar > &  X,
MultiVectorBase< Scalar > *  Y,
const Scalar  alpha,
const Scalar  beta
)  const [protected, virtual]
 

Implements Thyra::SingleScalarLinearOpBase< Scalar >.

Definition at line 223 of file Thyra_DefaultMultipliedLinearOp.hpp.

Friends And Related Function Documentation

template<class Scalar>
Teuchos::RefCountPtr< LinearOpBase< Scalar > > nonconstMultiply (  const Teuchos::RefCountPtr< LinearOpBase< Scalar > > &  A,
const Teuchos::RefCountPtr< LinearOpBase< Scalar > > &  B
)  [related]
 

Form an implicit multiplication of two linear operators: M = A * B.

template<class Scalar>
Teuchos::RefCountPtr< const LinearOpBase< Scalar > > multiply (  const Teuchos::RefCountPtr< const LinearOpBase< Scalar > > &  A,
const Teuchos::RefCountPtr< const LinearOpBase< Scalar > > &  B
)  [related]
 

Form an implicit multiplication of two linear operators: M = A * B.

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