HCL_BiLinearOp

class HCL_BiLinearOp_d : public HCL_Base

HCL_BiLinearOp_d is the base class for bilinear operators

Inheritance:

Public Methods

Inherited from HCL_Base:

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

Private Fields
int ReferenceCount

Documentation

HCL_BiLinearOp_d is the base class for bilinear operators. A bilinear operator is of the form B:X x Y --> Z, where X, Y, and Z are vector spaces and B(.,y) and B(x,.) are linear operators. Bilinear operators belong to the core of HCL because the second derivative of a nonlinear operator (at a point) is a bilinear operator.
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.

virtual HCL_VectorSpace_d& Domain1()

Access to the domain of the first argument. Returns a reference to a HCL_VectorSpace_d.

virtual HCL_VectorSpace_d& Domain2()

Access to the domain of the second argument. Returns a reference to a HCL_VectorSpace_d.

virtual HCL_VectorSpace_d& Range()

Access to the range. Returns a reference to a HCL_VectorSpace_d.

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(x,.)

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.

Direct child classes:: HCL_BiLinearOpAdj_d

alphabetic index hierarchy of classes

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

virtual HCL_VectorSpace_d&	Domain1 () Access to the domain of the first argument
virtual HCL_VectorSpace_d&	Domain2 () Access to the domain of the second argument
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(x,.)
virtual HCL_VectorSpace_d&	Range () Access to the range
virtual ostream&	Write ( ostream & str ) Debugging information

class HCL_BiLinearOp_d : public HCL_Base

Inheritance:

Public Methods

Inherited from HCL_Base:

Public Methods

Private Fields

Documentation