HCL_BiLinearOpAdj

class HCL_BiLinearOpAdj_d : public HCL_BiLinearOp_d

HCL_BiLinearOpAdj_d is the base class for bilinear operators which can compute various adjoint operators

Inheritance:

Public Methods

Inherited from HCL_BiLinearOp_d:

Public Methods
virtual HCL_VectorSpace_d& Domain1()
virtual HCL_VectorSpace_d& Domain2()
virtual HCL_VectorSpace_d& Range()

Inherited from HCL_Base:

Public Methods
int Count()
void DecCount()
void IncCount()

Private Fields
int ReferenceCount

Documentation

HCL_BiLinearOpAdj_d is the base class for bilinear operators which can compute various adjoint operators. Given a bilinear operator B:X x Y --> Z, we can define the following three linear operators:

Op1 y |--> B(x,y) (x fixed);
Op2 x |--> B(x,y) (y fixed);
Op3 x |--> B(x,.)'z (z fixed).
A HCL_BiLinearOpAdj_d represents a bilinear operator which can compute these three operators, each as a HCL_LinearOpAdj_d.
The primary class methods are:
Domain1 Returns a reference to the domain of the first argument of the operator.
Domain2 Returns a reference to the domain of the second argument of the operator.
Range Returns a reference to the range of the operator.
Image Computes the action of the operator on a pair of vectors:
   B.Image( x,y,z );  // z <-- B(x,y)
Op1 Creates the operator B(x,.). Note that this operator maps Y into Z.
Op2 Creates the operator B(.,y). Note that this operator maps X into Z.
Op1Adj, Op2Adj The methods create the same operators as do Op1, Op2, but they are returned as HCL_LinearOpAdj_d's.
Op3Adj Creates the operator x |--> B(x,.)'z as a linear operator with adjoint. Note that this operator maps X into Y.

virtual void Image( const HCL_Vector_d & x, const HCL_Vector_d & y, HCL_Vector_d & z )

Image computes the action of the operator on the pair (x,y), giving z.

virtual HCL_LinearOp_d* Op1( const HCL_Vector_d & x )

Op1 creates the linear operator B(x,.)

virtual HCL_LinearOp_d* Op2( const HCL_Vector_d & y )

Op2 creates the linear operator B(.,y)

virtual HCL_LinearOpAdj_d* Op1Adj( const HCL_Vector_d & x )

Access to Op1 as a linear operator with adjoint.

virtual HCL_LinearOpAdj_d* Op2Adj( const HCL_Vector_d & y )

Access to Op2 as a linear operator with adjoint.

virtual HCL_LinearOpAdj_d* Op3Adj( const HCL_Vector_d & z )

Access to the "partial adjoint" of the bilinear operator. Assume B:XxY --> Z is the bilinear operator. Then Op3Adj returns the operator x |---> (B(x))'z. Its adjoint is the operator y |---> (B(.)y)'z

virtual ostream& Write( ostream & str )

Debugging information. Write should be implemented to print a description of the object that will be useful for debugging. If a complete description is lengthy, an implementor should consider just printing out a useful subset. This method will likely be used to send information to the screen when a error condition is encountered.

This class has no child classes.

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(c)opyright by Malte Zöckler, Roland Wunderling
contact: doc++@zib.de

virtual void	Image ( const HCL_Vector_d & x, const HCL_Vector_d & y, HCL_Vector_d & z ) Image computes the action of the operator on the pair (x,y), giving z.
virtual HCL_LinearOp_d*	Op1 ( const HCL_Vector_d & x ) Op1 creates the linear operator B(x,.)
virtual HCL_LinearOpAdj_d*	Op1Adj ( const HCL_Vector_d & x ) Access to Op1 as a linear operator with adjoint.
virtual HCL_LinearOp_d*	Op2 ( const HCL_Vector_d & y ) Op2 creates the linear operator B(.,y)
virtual HCL_LinearOpAdj_d*	Op2Adj ( const HCL_Vector_d & y ) Access to Op2 as a linear operator with adjoint.
virtual HCL_LinearOpAdj_d*	Op3Adj ( const HCL_Vector_d & z ) Access to the "partial adjoint" of the bilinear operator
virtual ostream&	Write ( ostream & str ) Debugging information

class HCL_BiLinearOpAdj_d : public HCL_BiLinearOp_d

Inheritance:

Public Methods

Inherited from HCL_BiLinearOp_d:

Public Methods

Inherited from HCL_Base:

Public Methods

Private Fields

Documentation